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TABLES 






TO 



FACILITATE THE REDUCTION OF PLACES 



OP THE 



FIXED STARS. 



PREPARED FOR THE USE OF 



THE AMERICAN EPHEMERIS AND NAUTICAL ALMANAC. 



THIRD EDITION. 



PUBLISHED BY AUTHORITY OF THE SECRETARY OF THE NAVY 



BUREAU OF NAVIGATION, 

NAVY DEPARTMENT. 

1 874. 



<y 



SPECIAL TABLES, FOR STANDARD STARS OP THE AMERICAN EPHEMERIS. 

Page. 
tLE XXI. Mean right ascensions and declinations, annual and secular variations, and 

proper motions of 198 stars, for 1860.0 68 

XXII. Mean right ascensions and declinations of the same stars for the beginning of 

each year from 1865 to 1872 76 

XXIII. Mean right ascensions and declinations of the same stars for the beginning of 
each year from 1873 to 1880 ' 84 

XXIV. A^a, A^d, And, and Aq^, or terms in the reductions of right ascensions and 
declinations, which depend on © and R>, for 156 of the standard stars, from 
1865 to 1880 92 

XXV. Terms for 51 Cephei, a Octantis, and 1 Ursae Minoris, to be multiplied by 

-L(,_1870)* 248 

XXVI. Motion of © + Q, and — Q, for sidereal days 248 

XXVII. Values of © + Q and © — Q, for the beginning of each year, and terms depend- 
ing on © -f- Q, and © — ^ for a and A Ursae Minoris, 51 Cephei, and a Octantis. 249 
XXVIII. Terms depending on 2 ({ for a, 6 and X Ursae Minoris, and 51 Cephei . . . 251 

"Argument 2 (J " for beginning of each year 253 

XXIX. Reduction of places of stars in the American Ephemeris, 1865 — 1869, to those 

adopted in these tables 254 

XXX. AUWERS' correction of the place of Sirius for orbital motion 256 

SUPPLEMENTARY TABLES OF SMALL TERMS IN NUTATION. 

Table XXXI. Terms in the reduction of right ascensions, which depend on 2 ([ 258 

XXXII. Terms in the reduction of right ascensions, which depend on ([ — I" .... 258 

XXXIII. Terms in the reduction of declinations, which depend on 2 ([ 259 

XXXIV. Terms in the reduction of declinations, which depend on (( — r' 259 

XXXV. Arguments VI — X, for small terms in A and B 260 

Inequalities of Arg's VI, VII, VIII 261 

XXXVI. Small terms in A and B 262 



PREFACE. 



The following tables were prepared under the direction of Prof. Joseph Winloce:, 
now Director of Harvard College Observatory, while Superintendent of the American 
Ephemeris and Nautical Almanac. They have been used in the preparation of the por- 
tions of that work which relate to the fixed stars, commencing with the volume for 1865 ; 
except that some modifications of the mean places and annual motions of the standard 
stars have been introduced in the present volume and in the Ephemeris for 1870. These 
changes are given in Table XXIX. 

A few tables, not directly required in the construction of the Ephemeris, have been 
added to make the series more complete. 

The essential features of these tables are those of Bessel's Tdbulce Pegimontanae 
and Wolfers' Tabula? Beductionum ; but they differ from them in form and arrangement, 
in using the constants of Struve and Peters, and in providing for small terms in the 
reduction of star-places, which are usually neglected. It has not been thought necessary, 
however, to include in Table XXIV, which contains the reductions of places of the 
standard stars, any of the stars of Wolfers' list, except a and d Ursoe Minoris; as the 
corrections for differences of mean place and annual motion for the other stars are easily 
supplied. 

The computations have been made by assistants in the Nautical Almanac office, of 
whom Mr. W. P. G. Bartlett and Mr. G. W. Hill deserve special mention. To the 
latter I am indebted for a careful revision of the tables and proofs, and the materials for 
the introductory explanations. He has also prepared the articles on the Derivation and 
Reduction of Star Places, and the places of /3 1 Scorpii, /5 and tj Draconis, and 61 1 Cygni, 
which are given in the Introduction. 

These tables are published with the hope that they will afford aid to astronomers in 
future work, while they exhibit the construction and character of that portion of the 
American Ephemeris to which they relate. 

J. H. C. COFFIN, 
Prof. Math. U. S. Navy, Superintendent of Nautical Almanac. 

Washington, February, 1869. 



CONTENTS, 



Page. 

Description and use of the Tables • i 

Formulae used in the construction of the Tables • • • xv 

On the derivation and reduction of star-places xvi 

Ou the places and proper motions of (3 l Scorpii, 8 and tj Draconis, and 61 1 Cygni xxxv 

GENERAL TABLES. 

Table I. Longitudes of the principal Observatories from Washington 3 

II. Number of days from Jan. in common years, Jan. 1 in bissextile years, for each 

calendar date ,. . . 4 

III. Reduction of hours and minutes to decimals of a day and year 5 

IV. Fraction of the year from noon of Jan. in common years, Jan. 1 in bissextile years, 

to midnight of each day of the year 6 

V. Annual precession. — Motion of the Ecliptic 8 

VI. Arg. I, for aberration and solar nutation. 
Arg. II, for secular inequality of Arg. I. 
Arg. Ill, for lunar nutation. 
Mean obliquity of the ecliptic. 

Time from beginning of Bessel's fictitious year •••••••••,., 9 

VII. Secular inequality of Arg. I. 
Precession for each 10 days. 
Aberration of the sun's longitude. 

Solar nutation of longitude, right ascension and the obliquity of the ecliptic . . 12 

VIII. Lunar nutation of longitude, right ascension and the obliquity of the ecliptic . . 13 

IX. Coefficients and auxiliaries for computing A. B, and E 13 

X. Terms in A and B, which depend on 0, or Aq and £q, for 1850 14 

XI. Secular variations of A q and B q 15 

XII. Terms in A and B, which depend on Q, or A^. and B^, for 1850 16 

XIII. Secular variations of A p. and B^ 33 

XIV. Terms in £, which depends on ©, or Eq for 1850, and its secular variation . . 33 
XV. Terms in E, which depend on Q, or E~ tor 1850, and its secular variation ... 33 

XVI. Arg. IV, for terms depending on 2 (J . 

Arg. V, for terms depending on ([ — V, with multiples of their periods .... 34 

XVII. Terms in A and B, which depend on 2 ({ and ([ — 1% or A ^ , B ~ , and A' * . . 35 

XVIIL Logarithms of C and D 36 

XIX. H and the logarithms of h and i 50 

XX. For finding the annual precession of a star in right ascension and declination . . 54 



DESCRIPTION AND USE OF THE TABLES. 

These tables comprise — 
_ 1. General tables, which serve to form the arguments depending on time and place, or 
give those quantities, which are functions of the time and are independent of the place 
of any particular star. They extend from 1750 to 1900. A table for computing pre- 
cessions in right ascension and declination, and Supplementary Tables of small terms in 
nutation have been added. 

2. Special Tables for the standard stars of the American Epliemeris and Nautical 
Almanac for the years 1865 to 1880, giving their mean places and annual motions, and 
the means of reducing to their apparent places on any day within that period. 

GENERAL TABLES. 

^ Table I contains the longitudes of the principal Observatories from Washington, as 
given by Dr. Gould in the American Epliemeris for 1870. West longitudes* are con- 
sidered as positive. 

d is the longitude in hours, minutes, and seconds. 
d' in decimals of a day. 

d" in decimals of a year. 

Table II gives for each calendar date the number of days from Jan. in common 
years, or from Jan. 1 in bissextile years. 

Table III contains the equivalents of hours and minutes in decimals of a day and a 
year. 

Table IV gives for each midnight the part of a tropical year elapsed from noon of 
Jan. in common years, Jan. 1 in bissextile years. For noon subtract 0^.00137. 

Adding li" from Table VI, d" from Table I, and the part of a year from Table III, 
corresponding to the hours and minutes after mean midnight, we have for any given 
time the fraction of the year, r, elapsed from the beginning of the fictitious year. In 
this table 1 day = 0^.00273791. 

Table V, contains for each fifth year, Strtjve and Peters'! values of the annual pre- 
dion of the equinoxes, &c, viz : 



cession 



Luni-solar precession, V = 50".379S — 0".000216S (t — 1800) 
General precession, i' = 50".2411 + // .0002268 {t — 1800) 

m == 46".0623 + 0".0002849 (t — 1800) = 3 S .07082 + S .0000190 (t— 1800) 
n = 20".0607 — 0^.0000863 (t — 1800), and its logarithm 
7T = 0".4776 — 0".Q00007 (t — 1800) 
M = 172° 45' 31" + 33''.23 p — 1800) 
in which t is the number of yearn 

The annual precession of a fixed star is — 

In Bight ascension, A a = m -f- n sin a tan d 
Declination, Ad = n cos a 

Longitude, A A = Gen. Prec. + - cos (X — M) tan ft 

Latitude, A/3 = — - sin (A — M) 

_ Table VI contains for Washington mean noon of Jan. in common years, Jan. 1 in 
bissextile years, of each year from 1750 to 1900, the following quantities: 

1. Arg. I, which is Arg. I of Hansen and Oltjfsen's Tables du Soled, augmented 
by d .01553 for the constants added in the tables of inequalities, reduced to the meridian 
of Washington, and corrected for the inequalities of lon<? period in Tables VI, VII, and 
VIII of that work. ' ' ' 



* Longitudes should be reckoned west, or east, to the meridian where the local reckoning of the day 
changes. This niay be assumed as -f- 7 h or — ]7 h from Washington. 
t Dr. C. A. P. Peters, Nurncrus Constant Nutationis, pp. 66, 71, &c. 



1 I 



11 



2. Arg. II, which is Arg. V of Hansen and Olufsen's tables, and is used in finding 
the secular inequality of Arg. I from Table VII. 

Arg. I -|- its inequalities -+- cV -+- day of year, (the day of the year including the frac- 
tional part corresponding to the local mean time,) is* the argument of solar nutation and 
aberration in Tables VII, X, XI, XVIII, and XIX. In general it will be sufficient 
to add to Arg. I the secular inequality in Table VIL multiplied by (t — 1850). iiut 
if we wish to take into account tiie periodic pertubations of the sun, as is done in the 
preparation of the American Ephemeris, it will be necessary to use Arg. I -j- its ine- 
qualities of Hansen and Olufsen 7 s tables. The difference, however, cannot exceed 
a .011, and will seldom attain this limit. 

3. Arg. Ill, which is the number of days after, (or when negative, before) the time 
when the longitude of the moon's ascending node was 0. It is derived from Peirce's 
Tables of the Moon. Its period, in 18.30, is 6798 d .39 nearly. 

Arg. Ill -+- d' + day of year, or, if it exceed the limit of the table, 

Arg. Ill + & + day of year— G798 d .39, 
is the argument of those terms of nutation -which depend on the longitude of the moon's 
node, in Tables VIII, XII, and XIII. 

4. The mean obliquity of the ecliptic, as obtained from Peters.* 

co = 23° 27' 54".22 — 0".4645 (t — 1800) — // .0000014 (t — 1S00) 2 

5. The mean time claused since the sun's mean longitude was 2S0°, the bemnnins: of 

J. O 7 O O 

BesseFs fictitious year. 

h is its value in hours, minutes, and seconds. 

Jef in decimals of a day, 

V 1 in decimals of a year. 

It is also the longitude of Washington from the fictitious meridian of Table XXIV, 
or the meridian oa which the mean sun was at the beginning of the fictitious year. 

1c -+- d will be the longitude of any place reckoned west from the fictitious meridian. 
The sidereal time at this meridian when the fictitious } T ear begins is always 18 h 40 m = 
280°; and at any other meridian 18 h 40 m — (Jc + d.) 
Table VII contains for each 10 days — 

1. The secular inequality of Arg. I due to the change of eccentricity and perigee of 
the sun's orbit, derived from Table IX of Hansen and Olttfsen's tables. This ine- 
quality is to be multiplied by {t — 1850), t being the entire number of years, and the 
product added to Arg. I. The argument of this column is 

Arg. II -|- d' -+- day of year. 

2. The precession of the equinoxes in longitude, which is used in reducing longitudes 
from the mean equinox of one date to the mean equinox of another date. It is given 
for 1850. Its variation in 100 years is 

A^; = -+- .000452 p, p being the value in the table. 

3. The aberration of the sun's longitude, to be applied to the sun's true longitude to 
obtain its apparent longitude. Its value, with Struve'sI constant is 

A© = — 20 // .4451 — 0".3429 cos (280°.4 — O). 
The argument of this and the following column is 
Arg. I -|- its inequalities •+- d' -+- day of year. 

4. The solar nutation for the epoch 1S50.| 

In Longitude, AA = — 1".2694 sin 20 + 0".1477 sin (O + 82° 34') 

Bight ascension, Ace = — S .0776 sin 2 © -+- S .0090 sin (© + 82° 34') 
and of the obliquity, increased by the mean motion in the fraction of the year, 

Aw = — 0."4G45 v + // .5508 cos 2 0+ 0".0092 cos (0 + 280° 21') 
Table VIII contains, also for the epoch 1850, the lunar nutation.f 



* Pkters' Numtrus Cons/ans Nutationis, pp. GO, 71. 

t STRUVE'S Constant dc V Aberration, p. 47. 

J PLTEKS' Humerus Constans Nutationis, pp. 46-48. 



I 


n Longitude 


7 


+0.0125 
—0.2041 


sin (2 © — 
sin 2 <L 


8) 


—0.0339 
—0.0261 
+0.0677 
+0.0115 


sin (2 (T — 
sin (3 d — 
sin (C—l 
sin ( C + 1 


Q) 

n 



111 



In Longitude, A A = — 17 7/ .2491 sin Q + 0".2073 sin 2 Q 

In Right Ascension, A« = — l s .0549 sin £ + S .0127 sin 2 Q 
Of the Obliquity, A«, = + 9".2235 cos & — 0".0S96 cos 2 Q, 
The equation of tbe equinoxes, or the reduction from the mean to the true equinox of 
date, is the sum of the solar and lunar nutations in longitude and right ascension, 
respectively, in Tables VII and VIII. 

The true obliquity at date is the sum of the mean obliquity for the beginning of the 
year, and the two variations of the obliquity in the same tables. 
The variations in 100 years of these values are — 
In Longitude, — 0".0 17 2 sin & 

In Eight ascension, — S .00115 sin Q, 
In the Obliquity, +0".0009 cos Q 
The terms omitted, which exceed /7 .007, are — 

In Light Ascension, In the Obliquity, 

+0^00077 sin (2 © — £) — o"o067 cos (2 O — Q) 
— 0.0124S sin 2 C +0.0S86 cos 2 <£ 

— 0.0020S sin (2 <£ — Q) +°-0m cos (2 <C — Q) 
—0.00160 sin (3 <£ — P) +0.0113 cos (3 <£ — P) 
+0.00414 sin (&—P) 
+0.00070 sin ( <L + /') 
+0.0150 sin (C+P-20) + - 00092 sin ( <£ + P — 2 O) 
In these and preceding formulae, 
O = the sun's true longitude. 

Q = the mean longitude of the moon's ascending node. 
(£ = the moon's mean longitude. 
i' = the longitude of the sun's perigee. 
P = the longitude of the moon's perigee. 
Table IX contains the values for different } 7 ears of the coefficients and auxiliary 
angles, which enter into the expressions for A, B, and E, as denoted by Bessel, and 
hereafter given. They are derived from Peters' Numerus Constans Nutationis. 

Table X contains, for 1850, those terms in A and B which depend on the sun's 
longitude, viz: 

A Q = — .02519 sin 20 + .00294 sin (0 + 82° 34') 
B Q = — // .550S cos 2 © — 0".0093 cos (© + 280° 2V) 

The argument is 

Arg. I + its inequalities + d' + day of year. 

Table XI contains, for the same argument, the variations of A~ and B~ in 100 
years, or 
SA Q = — .000063 cos (O + S3°.2) — .000020 sin (0 + 83°.2) 

8 B Q = + 0".0003 cos 2 © + 0".00028 sin (0 + 2S0°.4) + 0' y .00001 cos (0 +2S0°.4) 
These are to be multiplied by ^- (t — 1850), and the products added to Aq and B~ 

taken from the preceding table. 

Table XII contains the terms in A and B, which depend on the longitude of the 

moou's node, viz: 

Aq = — .34236 sin £ + .00410 sin 2 £ 



B^ = — 9".22355 cos Q + 0".0S955 cos 2 

The coefficients are for 1850. The argument is 

Arg. Ill + d' + day of year, or if it exceed 3400 (1 , 

Arg. Ill + d' + day of year — 679S d .39, 
(the day of the year including the fractional part corresponding to the local mean time.) ! 



IV 



When the argument is negative the sign of i^ ; as given in the table, must be 
changed: the sign of I>^ remains the same. 

Table XIII contains, for the same argument 7 the variations cf A a and 2? n , or 
d A Q *= — .00031 sin Q * w 

8B^ — —> 0".0O09 cos & — 0".0001 cos 2 &, (in units of the 4th decimal place.) 

These are to be multiplied by ^ (t — 1850) and the products added to A^ and 
i?o of Table XII. "When the argument is negative <^o changes sign. 

By means of Tables IV, VI, VII, X, XI, XII, and XIII, we obtain 
A = r -j- A ~ -{-its sec. var. + i« -{-its sec. var. 

B = Bq + #s sec. var. -f- ^n + ^ 8 sec - var - 

tlie logarithms of which are given in the American Ephemeris for Washington mean 
midnight. With the longitude and Table III we may also find their values for any 
other place and time. 

The terms of short period, which depend on 2 (£ and <£ — P may be supplied from 
Table XVII, and several other small terms from Table XXXVI. 

Table XIV gives for 1850, 

JEU — — 0".0035 sin 2 O, and its variation in 100 years, 

dE~ =s + 0".0005 sin 2 0, in units of the 4th decimal place. 

The argument is 

Arg. I -f- its inequalities -f- d' -f- day of year. 

Table XV gives for 1850, 

Eq a — 0".0483 sin Q + 0".0015 sin 2 Q, and its variation in 100 years, 
dE^ =a + 0".0069 sin Q> — - 0".0001 sin 2 Q, (in units of the 4th decimal place.) 

The argument is Arg. Ill + d' -f- day of year, or Arg. Ill -j- d' -\- day of year — 
6798 d .39. When it is negative the signs of Eg. and ^£qj as given in this table, must 
be changed. 

8Eq and SEq are to be multipled by ^ {t — 1850). 

From Tables XIV and XV we have 

E — Eq -{- its sec. var. -f- E^ -{- its sec. var, 

or, in time, -- of this value. 
Id 

Table XVI gives for Washington mean noon of Jan. in common years, Jan. 1 in 

bissextile years, 

Arg. IV, the number of mean days elapsed since twice the moon's longitude was 0, 
Arg. V, the number of clays since the moon's mean anomaly ( <£ — P) was 0, 

together with multiples of their periods. 

Table XVII gives the terms in A and B, which depend on 2 d and d — P 7 viz : 
A ( r= — .00405 sin 2 d, B - = — 0".0886 cos 2 <£ 

A' ^ = + .00135 sin (d — ■ P), 

in units of the fifth decimal place for A, and of the fourth for B. 

Arg. for A ~ and B ^ , Arg. IV + d' -f- day of year; 

Arg. for J.'., , Arg. V -j- d' -f- day of year; 

each diminished by the largest contained multiple of its period. 

Reductions of right ascensions and declinations, which depend on d and d — P, are 
given in Tables XXXI — XXXIV. 



Table XVIII contains for the epoch 1850, and for each tenth of the argument, 
Arg. I + *& inequalities -{- df -J- day Of year, 
the logarithms of 

C = -— 20".4451 cos ^ cos O = — 1S".7553 cos Q 
Z> = — 20".4451 sin O 

The variation of log. C in 100 years is -f- 0.00004,25. 
Changes of index in this table are indicated by : 

Table XIX contains, for the same epoch and argument, jffand the logarithms of h 
and i from the formulae 

h sin H= (7, i =* C tan w == — SU389 cos O 

/« cos H = I) 

The variations in 100 years are 

<5 J? = + 0'.17 sin 2 IT, d. log /* = + 0.00004,25 sin 2 H 
d. log « 



The quantities A, B, C, Z), JEJ, or h, H 7 i, together with/, g y G from the formulae, 

/ = m A -\- E, g cos G = n A 
g sin G = B, 

serve for reducing the mean right ascension and declination of a star at the beginning 
of the year to its apparent place at date. 

If « , d Q are the star's mean right ascension and declination at the beginning of the year; 
«, d, the star's mean right ascension and declination, and 

a/ 7 o', the star's apparent right ascension and declination, for the time, r, reckoned from 

the beginning of the year and expressed in fractional parts of a tropical year; 

/j. and //, the annual proper motion of the star in right ascension and declination, 

respectively ; 
oj y the obliquity of the ecliptic, in Table VI; 
m, n, the coefficients for precession in Table V ; 
and with Bess el's notation, 

a = — (m -|- n sin a tan <2) a' = n cos a 

b = — cos a tan d b' = — sin a 

c = — cos a sec d d = tan at cos d — sin a sin d 

lo 

d = — sin a sec d d' = cos a sin d 

lo 

we have for the reduction to the apparent place at date, the formulae, 

af — a = Aa'+Bb+Cc + Dd + E+Tti 
<5' — 8 Q = A a' + B V + C c' + B d f + r //: 
or the formulae, 

of — a. o =f-\- j sin (G + a) tan (5 + 7* sin (H + a) sec d -f- r /* 
o' — 8 Q = g cos (Cr + a) + /i cos (# + a) sin d -{- e cos <5 -f- r p/. 

Except for stars of high declination, the mean right ascension and declination of the 
star, or the values of a, b, dv., for the beginning of the year, instead of their values for 
the date, may be used. 

If greater accuracy is required the small terms in A and B from Tables XVII and 
XXXVI may be supplied; or instead of the former, the terms in the reductions of right 
ascension and declination in Tables XXXI — XXXIV : and for stars near the pole we 
may also add such of the following terms as may be of sufficient magnitude : 



Yl 



In Bight Ascension. 



In Declination. 



:} 



tan d 



tan 2 (S 



+0.000003 r 2 sin 
—0.000149 r 2 ,cos 

—0.0000650 r 2 sin 2 a 
-1-0.0000103 sin 2 Q, cos 2 a 
—0.0000107 cos 2 Q sin 2 a) 

+0.0000620 sin 2 cos 2 a ) 2 
—0.0000622 cos 2 sin 2 a J SeC 

+0.0000513 sin (© + &) cos 2 a 
—0.0000507 cos (0 + £ ) sin 2 a 
+0.0000097 sin (©—-$) cos 2 a 
— 0.0000053 oos(0 — Q) sin 2 a 



> tan 5 



tan d sec 



^ sm < 



tan<5 



+0.000975 r 2 sin 2 a 
—0.000023 cos 2 & 
—0.000080 cos 2 & cos 2 a 
—0.000077 sin 2 £ sin 2 a 
+0.000040 cos 2 
—0.000467 cos 2 cos 2 a 
— 0.000465 sin 2 sin 2 a 3 

— 0.00004eos(O+&) 

— 0.00038 cos(0 + £)cos2 a 
— 0.00038 sin(G) + &)sin2 « 
— 0.00038 cos(0— £ ) 
—0.00004 cos( O— Q )cos2 a 
— 0,00007 sin(©—&)sin2 a j 

Tablr XX, for the computation of the annual precession of a star in right ascension 
and declination, contains for the epoch 1850.0 

A o a = P.33709 sin a, or its logarithm, and 
A£ = 20 // .0564 cos a, 
the signs of which are given with the hour of the argument. 

For any date t, expressed in years and parts of a year, the argument is the star's mean 
right ascension at that time; 

log. A o « = its tab. value — 0.00000,187 (t — 1850); 
the annual precession in right ascension is 

A« = 3 S .07177 + A o « tan d + S .00001,9 It — 1850}, 
in which d is the star's mean declination at the time t; 
and the annual precession in declination 

Ao = tab. value — 0".0000S6 cos a (t — 1850.) 
The table gives — // .00S6 cos a, the variation in 100 years of the tabular value of A^. 
Its sign, as given in the table, must be changed when a is between 6 h and 18 h . 
The variation of the annual precession in 100 years is 

In Bight Ascension. In Declination. 



— 0.0086 cos a 
— 0.4480 sin a 
—0.1950 sin 2 a tan d 



+0.00190 
+0.00650 sin 2 a 
— 0.000573 sin a tan 8 
+0.029868 cos a tan d 
+0.013000 sin 2 a tan 2 d 

by which the annual precession found for one epoch may be reduced to another. 

Adding to the annual precession the proper motion of the star referred to the same 
equinox and equator, we have the annual variation in right ascension and declination. 
The whole motion between two dates, t and f, may be found by multiplying the annual 
motion at the middle time, J (V + t), by ((' — t) the number of years in the interval. 

This table and these expressions are, however, not sufficiently rigorous for stars near 
the pole, for which it is necessary to take into consideration second and higher differ- 
ences of the motion. 

SPECIAL TABLES 

For the Standard Stars of the American Ephemeris. 

Table XXI contains the mean right ascensions and declinations for 1860.0 of the 
198 fixed stars, whoso apparent places are given in the American Ephcmcris, commencing 
with the volume for 1865. The magnitudes, annual variations, (which include precession 



Vll 



and proper motion,) secular variations, or changes in 100 years of the annual variations, | 
and proper motions are also given. 

The differences of these places and annual variations from those employed in the ( 
American Ephemeris for 1865-1869 will be found in Table XXIX. 

The places and proper motions of 48 northern circumpolar stars and 128 time stars 
have been taken from Dr. 13. A. Gould's Standard Places of Fundamental Stars, U. S. j 
Coast Survey, Second Edition, Washington, 1866; of a Canis Majoris, a Geminorurn, j 
(the mean of the components), a Canis Minoris, y Draconis, and a Cephei, from Wolfe us' j 
Tabular Bcductiomim Astronomicarum, Berlin, 1858: of ft 1 Scorpii, ij and/5 Draconis, and i 
61 l Cygni, from a discussion of nearly all available observations by Mr. G. W. Hill, ! 
hereafter given; and of 13 stars south of — 40° dec. from the British Nautical Almanac j 
for 1848. The magnitudes, except of the 13 southern stars, are Argelander's. Cir- 
cumpolar stars are indicated by a # 

The mean right ascension, or declination, of a star for any year t will be its 
B. A., or Dec, for 1860.0 -f [An. var. + sec. var. X ^ (t — .1 860)] (t — 1860). 

For a star near either pole it may be necessary also to include terms of the third and 
higher powers of the time. The coefficients of these terms for the northern circum- 
polar stars will be found in Gould's Standard Places of Fundamental Stars already 
referred to. 

Tables XXII and XXIII contain the mean places of the same stars for the beginning 
of each year from 1865-1872 and 1S73-1SS0, respectively. The hours and minutes of 
right ascension are given only for the first year on each page; when the seconds exceed j 
60 s they must be diminished by the requisite number of multiples of 60 s , and the minutes I 
increased by the same number. A similar remark applies to the degrees of declination. 

The year is supposed to begin when the sun's mean longitude is 280 °. 

Tables XXIV-XXVIII contain the quantities necessary to obtain, for any date 
from 1865 to 1880, the apparent places of as man} 7 of these stars as are not found in 
Wolfe rs' Tabulm Beductionum. Tables for a and d Ursse Minoris arc also given ; but 
Woleers' tables for the remaining 42 stars require no other appreciable change than 
for differences of mean place and proper motion. 

Table XXIV contains for each star — 

A « = A Q a + B e b+Cc + Dd+r(a + fi) 
A <5 == 4 a' + B Q h '+ Cc'+Vd' + z {a + fJ) 

in which the same notation is used as in pages iii and iv. 

To A a and A 8 have been added the small terms, given on page vi, which depend 
on r 2 and O, and to A„ a an< ^ ^n^ those which depend on $, whenever they are of suffi- 
cient magnitude. 

The first two of this set of quantities include precession and proper motion for the 
fractional part of the year denoted by r, aberration and solar nutation ; the other two 
comprise the principal terms of lunar nutation. 

The times of the star's conjunction in right ascension with the true and mean suns, and, 
for a circumpolar star, of its opposition to the mean sun, are also given. 

The meridian on which the mean sun is at the time its longitude is 280° is called the 
fictitious meridian for the following year; and the astronomical mean time of that instant 
at that meridian is Jan h of common years, Jan. 1 h of bissextile years. The cor- 
responding sidereal time is Jan. lS h 40 m , or in bissextile years, Jan. 1 18 h 40 m . 

A- «and A ^d are first given for the upper transit of the star at this meridian which 

immediately precedes, or follows, this date, according as the right ascension of the star 
is less, or greater, than 18 h 40 m ; and then for every tenth transit throughout the year. 



Vlll 



They arc the proper values for 1870, but may be reduced to any other year by adding 
to each— (t — 1870) X (ts Var. in 10 years, (t being the entire year, exclusive of the 
fractional part.) 

The columns headed Dlff.for 10 days are the first differential coefficients of A a and 

A dj respectively, with regard to the time, the unit of which is 10 days. Both the Var. 

in 10 years and the Dlff.for 10 days are expressed in units of the last decimal place of 
the quantities to which they belong, and are given for the same dates. 
A a and A d are also given for the same first transit, and then for every hundredth 

transit of the same meridian in each year from 1865 to 1880. 

The common argument given for both sets of quantities is the number of sidereal days 
from the star's first transit. But for A a and A-^<5 are also given the calendar dates, 

both sidereal and mean,* the repetition of which for A ~ a and A „ d is unnecessary. 

To the mean day is appended the fractional part expressing the astronomical mean 
time of the star's transit, the sidereal time being the star's right ascension. But, as the 
argument for a time of transit, the entire day only is to be regarded, whether sidereal or 
mean, and the part of a day neglected. 

It is to be noted, however, that in bissextile years the dates of the months January 
and February, as given in the table, should be increased by one day. 

The quantities in this table, being given for the time of the upper transit of the star 
at the fictitious meridian, may be reduced to the time of transit at any other meridian for 
the same date, by interpolating for its longitude from the fictitious meridian of the year; 
which, expressed in days, is k' -\- d' of Tables VI and I.t 

And for the n th - transit at that meridian after any tabular date the interval for inter- 
polation will be n -f- k' -f- d'. For a back interpolation n is negative. 

1. If then the apparent place of a star is required for the time of its upper transit of 
any meridian on a specified day, the argument with which to enter the table for the star 
will be 

The sid. day -\- k' -f- d', for the column Sidereal Bay; 
or, except in the case hereafter mentioned, 

The mean day -f- k' -f- d', for the column Mean Day, 
(neglecting, however, the fraction of a day in this column.) 

On the mean day when the star is in conjunction with the mean sun there will be two 
transits, the first occurring near the commencement, the other near the close of the day ; 
and it will be necessary to state which is meant. 

The preceding argument applies to the first of these in a forward interpolation. For 
the other, and for the succeeding transits in the period of ten days in which the con- 
junction occurs, that is, after the conjunction and until the next tabular date, the 
argument should be 

The mean day + W + d' + l d . 

So also for aback interpolation, the argument, as first stated, applies to the second of 
the two transits, which occur on the day of conjunction. For the first, and for the pre- 
ceding transits until the next preceding tabular date, the argument should be 
The mean day + k' -\- d' — l d . 

But it may be more convenient, when the mean day is given, to reduce it to the 
sidereal day, by adding to it 

l (l , before & * Mean Sun, ) u - / -, qh Af)m 
2 a , after " " J U a ^ ib 4U * 

d , More « « \ lfa ^ifrw* 

V\ after " " } lta > lb 40 ■ 



* Jan.— U 70, at the top of col. Mean day, on p. 92, is Dec. 30.24, or in bissextile years, Dec. 
31.24, of the preceding year. Other negative dates are to be regarded in the same way. 

t /.-' -f- d 1 sometimes exceeds l d , or the whole circumference. It should, however, be used without 
any i eduction. 



IX 



Then by adding IS -f~ & we l iave ^ ie argument* to be used with the column sidereal 
day. 

On the day of conjunction the first of the two transits is before, the second is after, 
the time. of conjunction. 

2 If the apparent place of a circumpolar star at the time of its lower transit on any 
day is wanted, the argument to be used with the column sidereal day will be 
The sid. day + V + d' + d . 5, if a < 12* 
The sid. day -j- V + & — d .5, if a > 12 h ; 
or 

The mean day -f- W + & + l d .o, before g * Mean Sun, \. f rll , n 

The mean day + k' + d' + 2 d .5, after " ) U a < ° 4Um ' 

Tfce »?«*« day + A 7 + d' + cl A before " * . f ^ fih 0m 

The mean day + V + & + l d .5, after " f n a * b 4U ' 

Two lower transits occur on the mean day of the star's opposition to the mean sun. 
The remarks respecting two transits on the same day apply here as in the case of upper 
transits. 

The argument for a lower transit to be used with the column Mean Day, excluding 
as before the fractional part af a day in that column, will be 

The mean day + V -(- d' — d .5, 
from the conjunction to the succeeding opposition with the mean sun; 

The mean day -\- k' -f- d' -j- d .5, 
from the opposition to the succeeding conjunction; with the same modification, however, 
at the date of two transits, as in the case of an upper culmination. 

3. For a specified sidereal time, sid. day -j- s, the argument will be 

The sid. day + W + d' + (s — a), 
in which convenience requires that s — a should be expressed in decimals of a day. 

4. For a specified mean time, the argument, with which to enter the column Mean 
Day, will be 

The mean time -\- ¥ -\- d' ; 
and the fractional part of the day in this column must be taken into account.t For 
A.aandA o the column of Mean Day is easily supplied from columns one and two of 

the table. 

Forming the argument in either of these cases iind taking the nearest, or the next 
preceding, tabular date, let 

T = ±(Arg. — Tab. date fox A aandA tf), 

T = - {A r 9- — Tab. date for A a and A S). 

1 100 ^ *><* 

T will be the coefficient by which to multiply the Diff.for 10 days of A a, A d, and 

their Var. in 10 years ; 

T h the coefficient of the Diff. for 100 days of A^a and A Q £; and J T 2 and £ T x 2 , 

respectively, the coefficients of the second differences of the two sets of quantities; pro- 
vided the first differences, like the Diff.for 10 days of A^a and A^o in the table, are 

redaced| to the tabular date employed. 

If we use as 2d difference the mean of the differences of the Diff.for 10 days, or the 
Diff. for 100 days, which immediately precede and follow the tabular date, A T 3 and 

* This also is the argument for the similar tables of Bessel's Tabulce Regiomontanae and Wol feus' 
Tabula Rcdudionum. 

t The mean time interval in this case, Arg. — Tab. date, should be increased by ^ P art - 
+ This is done with sufficient exactness by subtracting from the mean of the 1st differences, which 
immediately precede and follow the date, one-sixth of the corresponding third differences ; i.e. 



-J- Ti 3 will be, respectively, the coefficients of the 3d difference, which it is sometimes 
necessary to take into account. But if the nearest tabular date is used, T of 1\ will be 
numerically less than i, and the coefficient of the 3d difference will be less than J^. 

Adding the several products, indicated above, to the primary quantities to which they 
belong, we shall have A -.a, A (^> tne ^ ar ' ™ *° V cars °f ^ach, A^«andA„ ^reduced 
to the specified time. Then, if 

a Q and d Q are the mean right ascen sion and declination of the star at the beginning of the year, 
o.' and o', its apparent right ascension and declination at the stated time, 
the required apparent place of the star is found by the following formulae : 
u! = a Q + A a -f its Var. in 10 y. X T V (t — 1370) + A^a, 
V = d Q + A ' <S -f- its Var. in 10 y. X T V (t — 1870) + A^£; 

to which, however, should be added in the case of several circumpolar stars several small 
terms supplied by subsequent tables; and, for other stars also, the terms depending on 
d and ([ — P, when they are regarded as of sufficient importance. 

The essential features of this table belong also to the corresponding tables of Bessel's 
Tabula licgiomontance and Wolfe rs' Tabula Heductiomim. The peculiar arrangement 
with respect to the argument, employed first by Bessel, presents this great advantage, 
that the argument and coefficients for interpolation are the same for all stars at their 
respective times of transits over the same meridian on the same sidereal day ; that is, 
from l1 of sidereal time until the succeeding h . And for each successive sidereal day 
the argument increases by 1 day. 

In constructing an ephemeris of the stars, for each tenth transit, like that of the 
American Ephemeris, the coefficients for interpolation are the same for every date 
throughout the year, as well as everv star, viz : 

2* -A (* + *), Zi = tJtt (* + *)l 

or, if it is desired that the ephemeris shall commence n days later, 

T = -iV (n + V + d>), T x = T J T ( M + V + d'). 
Thus for 1868 and the meridian of Washington, to commence Jan. 1, 

l d + I* + d' = + 1 ,1 .649, T =* + 0.1649, T Y = + 0.01649; 

and for 1S70, to commence Jan. 0. 

l d + V + (V = + l d .164, T = + 0.1164, T x = + 0.01164. 

To the numbers in the column Mean Day we may simply add n, or more rigid Iv 
n — .00274 (n+V + d'). 

Table XXV contains for 51 Oephei, <t Octantis, and X Ursa? Minoris terms in right 
ascension and declination to be multiplied by yj-^ {t — 1870) 2 ; that is, a secular varia- 
tion of the secular variation. The argument is the same as for A ^« and A d in liable 
XXIV. 

Table XXVI contains, also for the same argument, the motion of O + Q and © — Q, , 
expressed in thousandths of the circumference. 

Table XXVII contains for a Ursae Minoris, 51 Oephei, a Octantis, and I Ursa? Mi- 
noris, terms in right ascension and declination, (on page vi,) which depend on © -j- Q 
and © — Q. The argument is © J r Q, or © — Q, as given on page 249 for the star 
at the beginning of the year,-)- the motion for the date in Table XXVI; rejecting 1000 
when the sum exceeds that number. The sign to be used is that written on the same 
side as the argument. 

Table XXVIII contains for a Ursae Minoris, 51 Cephei, <5 Ursae Minoris, and / Ursa? 
Minoris, terms which depend on 2 ([ , viz : 

A a = — S .0125 sin 2d — [0 S .00542 sin 2 <£ sin a -j- S .00590 cos 2 <[ cos a] tan d 

A 3 = — 0".0S13 sin 2 d cos a + 0".0SS6 cos 2 d sin a. 



XI 



The "argument 2 d" is the number of sidereal days since 2 (I = 0. It is given for 
the beginning of each fictitious } 7 ear on page 253, and is formed for any date by adding 
to the argument for the year, the argument for A^a, &c, in Table XXIV, expressed 
in sidereal days, i. e. 

The ski. day -f- 7/ -j- ^ for the upper transit, 

The sid. day -j- W -f~ d' -\- (s — a), for any sidereal time; 
and subtracting the largest contained multiple of the period. As in Table XXIV, the 
argument is the same for the four stars at their transits over the same meridian on the 
same sidereal day. 

The terms are given for every tenth of a sidereal day, an interval sufficiently small to 
dispense with interpolation. It will be noticed, however, that the table is arranged so 
that there is an interval of a sidereal day, instead of a tenth of a day, in the argument; 
so that, starting with the argument for the commencement of a daily ephemeris, we have 
only to write down the numbers from the proper column of the table, in the order in 
which they are given; and, when we arrive at the end of the table, to go back to the 
beginning, and so on until the period of the ephemeris is completed. This advantage 
is afforded by the fact that the period of the argument is 13.698 sidereal days, so that, 
assuming it as 13.7 days, will, after a whole year, make the argument in error less than 
d .05. If we add d .025 to the argument at the beginning of the. year, the arguments 
obtained for the middle of the year will be correct; and at the beginning and end will 
be in error less than d .03. 

Thus for the upper transit of a Ursse Minoris at the meridian of Washington, 1870, 
Jan. 1. 

Arg. 2 d + ski day + Jcf + d' = 5 d .8S + 2 d + d .16 = S d .04, and adding d .025, 
w r e have 8 d .l as the argument with which to commence. 

Table XXIX contains the reductions of the places of the stars, as given in the 
American Ephemeris for the years 1865-1869, to those adopted in these tables and in 
the Ephemeris for 1S70. The epoch is 1865. 

Table XXX gives lor the beginning of each year Dr. Attwers'* correction of the 
position of a Canis Majoris, Sirius, due to orbital motion, viz: 

2 = -f-0 s .0647 — S .000718(£— I860) + 0M510 cos ^+ 1° 6') 
r= — 0".630 — 0".00044 (*-— 1860) -j- V. 445 sin (u + 23° 30') 
in which u, the eccentric anomaly from the inferior apsis, is found by the formulae 

u — e sin u — n (t — T), 
from the elements 

T— 1793.830, passage through the inferior apsis, 
e — 0.6010, the eccentricity, 
n = 7°. 28475, mean annual motion in orbit, 
49 y .418, period of revolution. 
It is substituted for the Tabula Subsidiaries of Wolfe rs. 

SUPPLEMENTARY TABLES, 

Of small terms in nutation. 

Tables XXXI and XXXIII contain terms in the reduction of mean right ascensions 
and declinations, which depend on 2 d, viz: 

A' Q a = — S .0125 sin 2 d . 

A'^a -f- tan d = — S .00542 sin 2 (I sin a — S .00590 cos 2 <L cos a 

A' c £ = — 0".0S13 sin 2 d cos a + 0".0886 cos 2 <L sin a 
The arguments are, 



Side Arg. = At<j. IV (Table XVI) + d' -f- day of year, 



Hor. Arg. = a, 



L 



* Astronomische Nachrichten, vol. 03, No. 1506. 



Arsf. 


VII, 


a 


Arg. 


VIII, 


a 


Arg. 


IX, 


a 


Arg. 


X, 


a 



Xll 



subtracting from the former the largest contained multiple of the period. The signs of 
A'' a and A' d, as given in the table, are to be changed when a > 12 l1 . 

Tables XXXII and XXXIV contain terms which depend on <[ — P, viz: 
A'^a = + s .0041 sin(d — P)j 
A iv a -r tan (5 = + S .00180 sin (<L—P) sin a, 
A'^5 = -j- 0".0270 sin ( & — P) cos a, 

The arguments are, 

Side Arg. = Arg. V (Tab. XVI) + d' + d% 0/ year. 
Hor. Arg. = «. 
The signs of A 1 ^ a and A" d, as given in the table, are to be changed, when a is found 

at the bottom. 

Table XXXV contains for Washington mean noon of Jan. in common years, Jan. 
1 in bissextile years, arguments for small terms in nutation, viz: 
Arg. VI, for terms in 2 — Q, , with its inequalities. 
2 0— 2&< 
2®—2P " 

2P — Q 
P 

In each case the argument is the number of mean days since the quantity was 0. The 
period of each is also given. 

Table XXXVI contains the following small terms: 

In A. „ In B. 

— .00011 sin (3 — Fj* —0.0027 cos (3 0— r),* For Arg. I. 
+ .00025 sin (2 — &), +0.0067 cos (2 — Q ), " VI. 

— .00005 sin 2(0 — &), " VII. 
+ .00010 sin 2(0 — 1 '), " VIII. 
+ .00009 sin (2 P— Q), +0.0024 cos (2 P— &), " IX. 
+ .00005 cos P \ —0.0023 sin T/ ) u Y 
+ .00004 sin 2 P f +0.0008 cos 2 P J 

They are expressed in the table in units of the fifth decimal place for A, and of the 
fourth for B. 

The Argument in each case will be the Argument for the beginning of the year, from 
Table VI or XXXV, + its inequalities + cV + dag of the year, diminished by the largest 
contained multiple of its period. 

EXAMPLES. 

1. Required, for Washington mean midnight July 12, 1868, the obliquity of the ecliptic, 
the equation of equinoxes in longitude and right ascension, and the quantities A, B, C, 
P,E,f,g,G,h,IIandi. 

Preparation of the Arguments. 

I. II. III. IV. v. 

d d d d d 

Tab. VI, XVI, for 1868 . . 2.273 2.7—2984.61 0.054 19.01 

11, III, for July 12, 12 h . 193.500 193.5 193.50 193.500 193.50 

I, for Washington. 0.000 0.0 0.00 0.000 0.00 
VII, .001,16 X 18.5 = + 0.021 

— Multiples of Period —191.251 —192.88 



Arguments for date . . . 195.794 196.2—2791.11 2.303 19.63 



* The assumed value of T is 279° 5G\ which is nearly its value in 1825. 



Xlll 



Hansen's Arg. I -|- its inequalities is 195 d .791, wliicli differs only d .003 from the 
preceding value. 

VI. 



VII. VIII. 



IX. 



Tab. XXXV, for 1868 .... 21.4 

inequalities ... — .3 
I, II, III, for Wash. July 12, 12 h 193.5 



d 

118 



193 



-Multiples of Period 
Arguments for date 



— 177.8 —173 



d 

192 



193 

-206 



d 

242 
193 



36.8 



138 



179 



435 



X. 

d 

1009 
193 

1202 



Ob. of eclip. Eq. of Eefx. r 

, „ In Long. IjiB.A. y 

Tab. VI, for 1868 . 23 27 22.63 „ a Tab. VI, £" = + 0.00178 

VII, for Arg. I. — 0.65 +0.80 +0.049 IV, for July 12 0.52979 

VIII, for Arg. Ill — 7.S5 —9.38 —0.574 I, III, 0.00000 



For date 



. 23 27 14.13 



8.58 



0.525 



T = + 0.53157 



A. 

r= +.53157 
Tab. X, XIV, fovArg.I . . +.01618 

XI, " ) +- 00001 

XII, XV, for Arg. Ill . } —.18612 

XIII, " ) —.00003 



B. 

n 



E. 



+0.4010 +0.0023 

0.0000 
+7.8438 —0.0263 

+0.0001 



A = +.36161 B = +8.2449 E 



0.024 = — 0.002 



log. J. =9.55824 \og.gsinG = log.B =0.91618 
Tab. V,log.^ =1.30222 log.#cos£ = log. nA = 0.86046 

log.m =1.66353 log. tan £ = 0.05572 G = 48° 39/9 

log. sin (x = 9.87556 log. g = 1.04062 
f=mA-\-E = + 16^640 = + 1M09 



" log. mA = 1.22177 



mA = +16^664 

log. C log. D log. h II 

Tab. XVIII, XIX, for Arg. I. 0.827S7 1.28068« 1.30612 160° 34'.7 



log. i 
0.465: 



If it is desired to include in A and B the terms of short period, depending on d and 
— P, and other small terms of nutation, we have 











A. 


B. 


Tab. XVII, 


for Arg. IV ... . —.00353 


_-0".0434 


u 


" Arg. V . 






— 131 




Tab. XXXVI 


for Arg. I . . 






. — 8 


— 17 


a 


" Arg. VI . 






+ 24 


+ 18 


a 


« Arg. VII . 






. + 5 




a 


" Arg. VIII 






. — 7 




it 


" Arg. IX . 






■ + ? 


— 12 


u 


" Arg. X . 






. — 7 


— 17 



Corrected 



A = +.35691 B = +8.1987 



2. Required for 1848, April 7, 10 lv , Greenwich mean time, the logarithms of A, B, C, 
and I), and E, omitting the terms of short period and small terms in A and B. 



XIV 



I. II. III. 

Tab. VI, for 1848 .... 2.128 2.6 +3307.17 +o!o0135 

II, III, IV, lor April 7, 10 1 ' . . 97.417* 07.4 97.42 +0.26672 

J, for Greenwich . .— 0.214 — 0.2 — 0.21 —0.00059 
VII, —.000,61 X 1.7 = — 0.001 

— Period —0798.39 

Arguments at date 99.330 99.8 —3394.01 0.26748 

A B log C. log. 1) E 

r = .20748 

Tab. X, XIV, XVIII, for Arg. I. —.01206 —0.4475 1.25083w 0.8053Gw —0.0020 

XI, for Arg. I ooooo o.oooo 

XII, XV, for Arg. Ill . .—.00166 +9.3128 —0.0003 

XIII, lor Arg. Ill . . . —.00000 0.0000 



+.25370 +8.8053 —0.0023 

Logarithms 9.40442 0.94769 1.25083^ 0.80536;* 

3. Required the apparent place of rj Virginia for its upper transit at Berlin, March 23, 

ISO!). 

18G9, March 23. 
Table I, for Berlin & = — 0.251 

VI, for 1809 Z/ = + 0.406 

Arg. for col. Mean (tag in Tab. XXIV, March 23.155 

For a < I8 h 40 m and date before 6 * Mean Sun, + 1. 
Arg. lor col. Sidereal dag in Tab. XXIV, March 24.155 == 83.155 

Frprn either argument* we find 

T = + 0.3155, lor interpolation of A « and A Q <5. 

Z 7 ^ — 0.1685, " " A a aandA Q <?. 

ll 111 B O / // 

Table XXII, r t Viro-inis, 18G9.0, a o = 12 13 1.2.274 <* = + 3 41.82 

Table XXIV, { *0« = + J ' 945 A o'> - - 12 ' 69 

\ A a « - — 0.768 A Q a - + < r >-^> 

Apparent place a' = 12 13 13.451 <$' = + 3 34.49 

The Berlin mean time of transit, from 'Fable XXIV, is March 23.50, for which from 
Table XVI, Arg. IV = 10 (1 .2, Arg. V = 25«U. With these we may take from Tables 
XXXI— XXX IV, 8 „ 

A' (( « = + 0.012 A' tf = — 0.08 

A'> = — 0.002 A" <5 == + 0.01 : 

but these terms of short period are usually neglected. 

A. Required the apparent place of A Urate Minoris at its lower transit at Greenwich, 
Nov. 1, 1877. 

1877, Nov. 1. 
Table T, for Greenwich d' = — 0.214 

VI, for 1869 Z/ = + 0.469 

For a > G h 40 m and date after £ * Mean San, + 1.5 

Arg. for col. Sidereal dag in Table XXIV, Nov. 2.755 = 30G (1 .755 

T = — 0.3245, for interpolation of A « and A r? from Nov. G, 

r l\ = + 0.0G75, « " A fl « and A fl <S from 300 d . 

* Neglecting decimals in the column Mean day. 



XV 



From Table XXIV we have 

For Nov. 6 A Q a = — 69.24 A (5 = -f- 26.63 

.7 x (— 5 fl .70) = — 3.09 .7 X (—.83) ' = — .58 

T x (— 13 s .22 + S .40 X J T) = + 4.31 Y'X (— .33 — .54 X JT)= + .08 

J 7 T' 3 X S .33 = 0.00 \ T 3 X .00 .00 

For date A a = — 68.92 A d = + 26.13 



For 1877, 300 (1 . A Q « = — 23.4.2 A Q 5 = — 5.38 

TiX(— .92 + .1SX £Ti) = — 0.06 2\ X(+.61+.03X£Zi)= + .04 
For date A Q a = — 23 48 A ^5 = — 5.34 



O + £ O — 9, 2 (L d 

Tables XXVII, XXVIII, for J 877 733 824 8.02 

XXVI, XXIV, Nov. 2. 8 793 SS3 306.76 

— Multiples of periods —1000 —1000 —301.34 

Arg's at date 526 707 13.4 

h m s o / // 

Table XXIII, X Urs. Min. 1877.0, « o = 19 47 15.84 tf = + 88 56 9.15 

XXIV, A Q « = —1 8.92 A Q tf = +26.13 

" A Q a = — 23. 4S A^5 = — 5.34 

XXV, — 0M1X.49 ' = — 0.05 —0 // .05X- 49 = — 0.02 

XXVII, for© + Q = 526 — 0.10 — 0.01 
" " O — 9> = 707 + 0.01 0.00 

XXVIII, " Arg. 2 (£ = 13.4 — 0.18 —0.07 
Apparent place a 1 = 19 45 43.12 <5' = + 88 50 29.84 

The Greenwich mean time of the lower transit is Nov. 1.73, for which we should find 
the sum of the small terms in Table XXXVI to be only — S .00S in It. A. and + 0".002 
in Dec. 

5. What is the mean place of y 1 Draoonis for 1755.0, or 105 years before I860? 

li in s o / // 

Table XXI, for 1860.0, a = 17 44 26.134 d = + 72 12 59.31 

— 105(An.Var. — ^ Sec. Var.), + 1 54.942 + 2 41.66 

— Tu^X S .000002*, — 0.023 

For 1755.0 a = 17 46 21.053 d = + 72 15 40.97 

FORMULAE USED IN THE CONSTRUCTION OF THE TABLES. 

Many of the formulae used in the construction of the tables have been given in the 
preceding pages. Others, however, could not be conveniently introduced. 

Table VI. From Hansen and Olufsen's Tables du JSoleil, Intr. p. 12, we have for 
Paris mean noon of Jan. in a common year, Jan. 1 in a bissextile year, 
Arg. I = 1.905307 — J r + 0.00721714 (V — 1850) + 0.00000003101 (V — 1S50) 3 , 
Arg. V = 2.3470 + 0.0053032 (if — 1S50.) 
V being the entire number of the year, and r the remainder after its division by 4. 
From Peirce's Tables of the Moon, Intr. p. 5, we have 

& = 13 55 52.6 — 190\63366070 i + 6.'o355 f. + 2.3744 £, 

in which i denotes the number of mean solar days from 1801, Jan. h , mean time of 
Washington. From this we readily find 

Arg. Ill = — 263 d .0838 + i — 679S (1 .37965 n — (1 .001463 n 2 , 
n denoting a whole number, so taken that Arg. Ill may be numerically less than 3399 d .2, 
or half the period. 

* The value of 100 C in Gould's Standard Places, pa^e 6. 



XVI 



According to Bessel (Astronomisclie Nachrichten, No. 134,) the mean longitude of 
the sun for mean noon of Paris of Jan. in common years, Jan. 1 in bissextile years, 
of the year 1S00 + t is 

279° 54' 1".36 + 27".605844 t + 0".0001221805 t 2 — 14' 47". 083 /, 
where/ denotes the remainder after dividing t by 4, and the mean daily motion of the 
sun is 59' 8". 3302. Whence for mean noon of Washington, 

Jc = + 2 h 52 m O s .O + ll m 12M8798 t + S .002975 t z — 6 h X /. 

%' = -{- d .l 1944447 + d .0077799535 t -\- a 000000034433 t 2 — J/. 

&" = + 0^.00032703 + 0^.000021350 £— 0^.00068448/ 
Table XVI. From Peiece's Tables of the Moon we also have 

& = 107 55 40 / .5 + 47435 / .02808897 i + 8.598 — + 3^6483^ 
P = 266 4 51.3 + 401.057S3886 i — 27.217 JL — 13.750 J^; 
whence 

<C — P = 201 50 49^2 + 47033 / .97025011 i + 35'.815^ + 17^398 Jg 

Arg. IV = 8.19101 + i — 13^607909 w + 0.033826-^, 
Arg. V = 15.4493 + i — 27.5545524 n -f 0.57815 ^1. 

in which i denotes the number of mean days from Washington mean noon of 1801, Jan. 
0, and n is a whole number denoting in each case the number of entire periods of the 
argument. 

Table XXXV. From the preceding values of O, & anc ^ ?' are derived, 
a a 

Arg. VI = 91.800 + i— 177.84380 n 

Arg. VII = 82.753 + «— 173.31004 w 

Arg. VIII = 15.783 + * — 205.89262 n 

Arg. IX = 573.790 + ^—1305.4655 n 

Arg. X = 238S.412 + * — 3231.455 n 

in which i is reckoned from the same epoch as before. 

Tables XXI— XXVIII. 

ON THE DERIVATION AND REDUCTION OF PLACES OF THE FIXED STARS, 

By Mr. G. W. Hill, Assistant in Nautical Almanac Office. 

The co-ordinates of the stars are affected by three distinct causes; first, by the motion 
of the earth's axis and the equinox, which produces precession and nutation ; second, by 
the motion of the star itself and of the solar system in space, the combined effect of which 
is denoted as proper motion; third, by the motion of light, the effect of which is called 
aberration. 

1. Let us first consider the effect of precession alone. If a and 8 denote the right 
ascension and declination of a star at any time, its rectangular co-ordinates will be, its 
distance being assumed as unity, 

x = cos d cos a, \ 

y = cos d sin a, > (1) 

z == sin d. y 

To pass to any new system we shall have the known equations 

x' = ax -\- by -\- cz, ) 

y> = a'x + b'y + c'z, } (2) 

z' = a"x + Wy + c " 2 ' } 
But in the case where we wish to obtain the differentials of x, y, z for an infinitesimal 
time dt, «, b', and c" are each unity, being the cosines of angles infinitely small; and all 
the other constants will contain <\t as a factor. Hence we may write 



for terms 


in 20- 


-a 


a 


2(0- 


-s 


a 


2(0- 


-p 


a 


2P — 


■a 


a 


P 





XV11 



p = a'x + c'z, 
^. = a"x+b"y. 



(3) 



dx d 1 ?/ d.# 
The equation x*-\- if-\- 2 2 = 1, gives us ^7,7+^^7"!"^ tt = 0* Substituting in this 

t QP CIP QC 

the above values of -rr, tyc, there result these three equations of condition between the 

six remaining constants, 

I +a' =0, ) 

c+a<< = 0, [ (4) 

c' + h" = 0. ) 

Hence 

1 



5" *+* 

dt ' ' 

dz , 



(5) 



It belongs to Celestial Mechanics to deduce the values of the three remaining coef- 
ficients of these equations. When precession alone is considered & = 0, and — b and — c 
are the quantities m and n, whose values have been previously given. Thus we have, 
the unit of t being one year, 

= — my — nz, 



dt 
dt 

dz 

dt 



mx, 



= nx. 



(6) 



If the values of x, y y and z are now substituted in these equations we readily find that 



= m -f- n sin a tan d. 
dt 

dd 

__ =ncosa. 

at 



(?) 



Differentiating these and always eliminating — and —by means of the primitive equa- 
tions we obtain dt ™ 

f\2/y dui it? r dn I "'i 

— r == -— -4- — sin 2 a 4- -=~ sin a + mn cos a I tan d 4- n 2 sin 2 a tan 2 d ; 1 

d* 2 dt r 2 ^Ld* J 

d 2 <5 . , dn o • o o 

— - = — mn sm«-f— cos a — n l sir a tan : I 

A *2 • A 4- ' v 



d* 2 

d 3 a 



d* 



mnf 



dn . 



4- I mn 2 cos 2 a 4- *- w ^! sin 2 a 
d* 3 2 ~ 2 ~ A dt 



dt^ 



+ $(2n 2 — m 2 + 3n 2 cos2a)nsma + (2m~ + n^\cosah'dn 

+ J 3 mn 2 cos 2 « + 3 w *p sin 2 a I tan 2 5 
+ 2 w 3 sin a (1 + 2 cos 2 a) tan 3 d t 
= — ( 2m-^4~^-TT) smQ — i m2 + ^ 2 sm2 a ) n cos a 

— J § «m 2 sin 2a-(- 3 w -=^ sin 2 a \ tan <5 — 3» 3 sin 2 a cos a tan 2 d. 



(?) 



21 



xvm 



Tlie rig-lit ascension and declination of a star so far as regards precession are then found 
by the formulae 

• - -.+(5). ' + " (S)/+<S)/+ *»•■ 1 , 81 

2. Let us next consider the effect of proper motion. If the values of — and — for 

av or 

any star are obtained from observation for a certain epoch, we may compute the functions 
m + n sin a tan o, and n cos a, and subtract them from these quantities; the remainders 
it. and // are the effect of proper motion in rig-lit ascension and declination at that epoch. 
But to deduce the values of // and p! for any time in general, we may adopt the assump- 
tion that the proper motion is uniform on the arc of a great circle, and on this supposi- 
tion derive the rigorous values of the differential coefficients of a and d with respect to 
the time. 

Considering now the effect of proper motion only, let 

" p denote the velocity of the star's motion on the arc of a great circle, 
y, the angle of position of this arc, 
a' and o^ the right ascension and declination of the star at the end of the time t. 

The consideration of the spherical triangle formed by the pole of the equator and the 
two positions of star, will give these equations 

sin <y = sin d cos p t + cos d sin p t cos y y ^ 

cos o' cos {a' — a) = cos d cos p t — sin d sin p t cos y, > (9) 

cos o f sin (a/ — a) — sin p t sin y. ) 

Eliminating p and y by means of the equations 

p sin % = i± cos 3, p cos y = p/, 

we derive from the first and third of the preceding equations the following values of 
a' and d' in series arranged according to the powers of t : 

a' = a + p t + ;>. ;>! tan 8. i 2 — J [p? sin 2 d — p p.' 2 (1 + 3 tan 2 d)] t? + &c .\ nn , 
o' = d + P-' t — i p. 2 sin 2 d. i 2 — \ p 2 p.' (1 + 2 sin 2 d) t 3 + &c. J ^ W) 

3. In order to have the combined effect of precession and proper motion, a 1 and o' 
should be substituted for a and o in the series which give the effect of precession. Hence 
we obtain 



da . « , 

= m + n sin a tan o + //, 

(.IC 

d<5 , . 

_ = n cos a + p.' j 

Olt 

and, p and // being considered as variable quantities, 
da 



(11) 



= » // cos a tan £ + » // sin a sec 2 <? + 2 /i /Jt' tan 

-4- = — « // sin a — A p.* sin 2 o. 
at 



(12) 



Bv differentiating the values of - and ---, and eliminating -?-, -=-. '' and -+ , bv 

dt at? ° al at' at at * 

means of their values just given, wo obtain 



XIX 



cl 2 a dm . li 1 . „ , _ , . 



+ < -j- sin a -f- (w -)- 2 p) n cos a -(- 2 p pf > tan 3 



-f- 2 w sin a (n cos a -f- //) tan 2 8 • 
-ttj = — — + 2 p [if 2 -j- 3 — pf sin a -j- 3 w /.// (w -|- 2 ,u) cos a -\- 1 (m -j- 2 /a) w 2 cos 2 a 



+ f * ~ sin 2 a — 2 /7. 3 sin 2 5 
cic 



C(2n* — m £ — 6 a + 6 /j/ 2 — 3 m p + 3 w 2 cos 2 a) w sin a } 

1 ) -4- (2m-— -L-w J_3 /jt ) cosa4-6w 2 //sin2a l 

v. at at at ) 



tan 5 



(13) 



C 6 //. /-*' 2 + 3 _ /;/ sin a -\- ( 12 /a -j- 3 m) n p l cos a ) 
f\ , Q dn dt /tan 2 5 

-f- < (2 n 2 -f- 6 // 2 ) « sin a -j- 6 w 2 ^ sin 2a-f4w 3 sin a cos 2 a > tan 3 £, 

^ = — // // — (2 m + 3 /a) JJ5 sin a — (m 2 + 3 p? + 3 m /v.) * cos a 

dm . . 

— w sin a — n' sin 2 a cos a — 3n 2 pf sin 2 a — 2 /j. 2 [if sin 2 <$ 

d£ 

— <6w /i // sin a -|- f (w + 2 ,u) w 2 sin 2 a -f- 3 n — sin 2 a S tan £ 

— 3 n 2 (n cos a -j- l J ') sin 2 a tan 2 8. 

The values of a and 8 computed by means of Maclaurin's theorem, using the above 
values of the differential coefficients, will give the mean place of the star. 

For the epoch I860, "by substituting the proper numerical values of m and n, from 

Table V, expressing — , — - and p. in seconds of time, — , — and pf in seconds of 
at at at at 

arc, and denoting that the logarithm of the number is expressed by writing it in [ ], 
we have the formulae 

^ == 3 3 .071960 + [0.1261427] sin a tan 8 + p, 
at 



100 ^ = S .003221 — [6.63378] (^ — p^\ + [7.987809] (~ + Acos a tan 
+ [6.811718] (j^- + pf\ sin a sec 2 8 + [6.9866] p pf tan d, 



^ =[1.3022340] cos a + pf, 



™w> 



= — [6.63378]^ — /,/^—[9.16390o/^+A\in«— [8.7367] /.. 2 sin2 8 



(14) 



By these formula? the quantities in Table XXI have been computed. 

The last term of - T — - and also that of -4 are nearly always insensible, 
dr dr 

d 3 a d 3 <5 
The above expressions for — _ and -— are too complicated for use in computation ; hence 

if their values are wanted, it will be much easier to compute the values of the second 
differential coefficients for 50 years before and after the epoch, and divide the differences 
of these by 100 for the values of the third differential coefficients at the epoch. 
4. We have next to consider the effect of nutation. Resuming the equations 



^.fter line JO, insert 



j = — (m-t-2p) n sin a -f -^ cos a — % p? sin 2 6 — rc 2 sin 2 a tan 6* 



XX 





by + cz, 


dt 


— bx -f- c'^ 


dz 

dt 


— ex — c'y, 



(5) 
putting for x ) y and 2 their values from (1) in terms of a and <5 ; and writing A a and A d 

} (15) 



instead of — - and — - we obtain 
dt at 

Aa sss — Z> — c sin a tan <S -|- c' cos a tan 8. 

Af5 = — c cos a — c' sin a. 

We may make 

i = — mA' — E, 

c = — w A' 



(16) 



where 5 and E denote the same quantities, as on pages iv and v, and A' is the quantity 
A, with the term r omitted. Then 

Aa =s (m -|- n sin a tan 8) A' -\- B cos a tan <5 -|- E, ) 

A<5 — A/n cos a — B sin a. ( 



(17) 



These formula? give the effect of nutation when terms multiplied by the squares and 
products of A', B and E are neglected. 

The following formulae contain those which involve the squares and products of A / 
and B 7 still neglecting the square of E and its products with A' and B as of no moment: 



A2<5 _ 1 <^ , /2 , d 2 .A<? , , ^ d 2 .A<S ™ 



We have from (17) 

d.Aa . , „ 

, , = m 4- n sin a tan a, 
d.A' 

d.Aa , . 

__j_^_ =s cos a tan 8, 



d.A£ 

d.A<? 
d£ 



= w cos a, 



= — sm a. 



(13) 



(19) 



da da 



Differentiating these again with respect to A' and B } and eliminating _ —, _-, &c, 
, ^ A t A dA / dB 



which are the same as Li_ a , _J — -. &c, we obtain 
dA' ' i\B ' ' 

d 2 Aa n 2 

— : — - = — sin 2 a. -X- mn cos a tan 8 -4- n 2 sin 2 a tan 2 £, 
dA' 2 2 r ~ ' 



=ss w cos 2 a ~\- n cos 2 a tan 2 8 — m sin a tan 8 



d 2 .Aa 

dA'd.B 

£!^ ^ — J sin 2 a — sin 2 a tan 2 5, 

d 2 .A<5 . 2 . 2 „ 

— — == — mn sin a — w sur a tan <?, 

dA' 2 7 



d 2 .A3 
cU'dYi 

d 2 .A .) 
di>' 2 



sin 2 a tan d — m cos a, 



= — cos 2 a tan d. 



(20) 



It will be sufficient to retain in A 2 a only the terms multiplied by tan 2 8, and in A 2 <5 

those multiplied by tan 8 } and to put A' = — 0.34236 sin Q = sin Q, and 

B = — 9".2235 cos Q, = — u cos & . Thus we get 



XXI 



A 2 a = 

A 2 (5=r,— 



uv rt . _ ~ w 2 4-y 2 . n n ~ 

— cos 2 a sm 2 Q — •— sm 2 a cos 2 ^ 

2 4 

,|P rin2arin 2 £ + f ^ T ^ + ^ t~ ^ cos 2 a^\ cos 2 £ 1 tan <?. f 



1 tan 2 (5, 



H21) 



<2 = Jj (m -|- M sin a tan o,) 
& = y 1 ^ cos a tan d y 



}(22) 



4 - ■ v 

Hence if we put, as on page v, 

a' — n cos a, 
V = — sin a, 

the formulae for the whole effect of nutation will be 

Aa = aA' + LB + E "} 

+ [0 S .0000103 cos 2 a sin2£— S .0000107 sin 2 a cos 2 &] tan 2 8, I , * 

— fO^.000077 sin 2 a sin 2 ^ + (0 // .000023 + O^.OOOOSO cos 2 «)cos 2 g2 ]tan (5. 3 

5. The effect of aberration is next to be considered. If a' and d' denote the right 

ascension and declination of the star as affected by aberration, while a and d denote the 

same unaffected bv aberration, and -— -, _ — and — — denote the velocity of the earth pro- 

7 d*' d* d* J * 

jected on the three axes of equatorial co-ordinates, and k denote the velocity of light, 

we have, R' being a fictitious distance to be eliminated, 



R' cos d' cos a' = cos <5 cos a -\- -~ -^-, 

fC Q.Z 

1 dY 

R'cos d / sin a' = cos d sin a -I- - — — , 

k dt 



(24) 



R'wn & 

Whence are derived 



sin d 



l_dZ 
"^ k dt' 



it' COS o' sin {a 1 — a) = — — | _ — sm a r^-COS a I , 

k \_ dt dt J 

iiJ'cos d / cos {of — a) — cos S -|- _ I __ cos a -f- — _ sin a I , 

k [_ dt dt 

jR'sin (8 / — d) = — — - 1 — — sin d cos a 4- _ _ sin d sin a — — cos d I 
v k]^ dt dt dt 

1 , .TdX dY I 2 

— — tantfl --— sm a —cos a I 

2k 2 Idt dt J , 

R'cos(d'—d) = 1 + 4T^cosocosa + ( ^cos£sina + — shwsl 
k \_ dt dt dt 

, i rdx . dY v 

~T~ -rr, I -rr sm a -r- COS a I ; 

1 2A; 2 [_dt dt J ' 

from which, to quantities of the second order, w T e have 

1 ,rdX . dY 1 

a' — a = — secol -— sina — cosa I 

k I dt dt J 

+ JL sec 2 o ^sina— ^cosa^j ('<!*cosa + ^sin a\ 
k 2 \dt dt y\ dt dt J 

" ] 



(25) 



v % i rax . , , dr . . . 

d' — o = — — I -— - sin o cos a -f- — - sm o sin a — — 



kldt 



dZ 
df 



[ ± . rdx . dr 

I -^r-sina — — - 
d^ 



2i? tmS L"dF Sma 



COSa 



I 



, i /dx .■■ , dr . , . dz ,\ v 

+ -rr ( — r- sin o cos a + —- sin o sm a =— cos o )X 

k l \ at dt dt J 

/dX , , dr , • , dZ . ,\ 

I -cos o cos a + _ — cos o sm « -4- — - - sm o ). 
\dt dt dt J 



(26) 



XX11 



If r is the radius vector of tlie earth, and oj the obliquity of the ecliptic, 

X = — r cos O , ^ 

Y — — r sin © cos w, > (27) 

Z = — r sin © sin w. ) 

And, if e denote the eccentricity of the earth's orbit, Tthe longitude of the solar perigee, 
and n the mean sidereal motion of the sun, 

dr an 



r -fr = -rr; :*v t 1 + c cos (©— /)]. 



(28) 



Whence we derive 



dt V(l—e 2 ) 



dX _ an 

It ~ v/(l — e 2 ) 
dY _ _ an 
~df~ 
dZ = 
~dt = 



"sin © -|- e sin J], 



V(l— e 2 ) 
an 



cos w [cos © -(- e cos T], 
sin o; [cos Q -\-e cos /'], 



(29) 



By substituting these values in the expressions (26) for a' — a and b' — -<S, making 
== x, and omitting the terms which are independent of ©, we have 



kV(l—e 2 ) 

a' — a = — /. sec d [sin a sin © -f- cos a cos w cos ©] 

x 2 

— _1_ sec 2 d [ (1 -)- cos 2 w) sin 2 a cos 2 © — 2 cos w cos 2 a sin 2 ©], 



o' — d = — x [sin <5 cos a sin © - — (cos <d sin £ sin a — sin w cos d) cos ©] 

— _L. tan<5 [((1 -[-cos 2 w)cos2 a — sin 2 a» j cos 2 © -|- 2 cos co sin 2 a sin 2 ©J. 



In these formulae terms multiplied by z 2 e have been neglected, as also the terms in 
o / — d multiplied by % 2 which are not also multiplied by tan d. Substituting for x 
Struve's value 20 // .4451, these formulae become 



o.' — a = — 20". 4451 sec d [sin a sin © -|- cos a cos w cos ©] 

— • 0".0009329 sec 2 8 sin 2 a cos 2 © 
+ 0".0009295 sec 2 d cos 2 « sin 2 © , 

8' — S = — 20".4451 sin 3 cos a sin © 

-j- 20". 4451 cos © [sin o sin a cos w — cos d sin a»] 

— // .0004648 tan d sin 2 a sin 2 © 

+ [0".000Q402 — // .0004665 cos 2 a] tan 5 cos 2 ©. 



(30) 



3 



6. The values of a, 5, © and oj to be employed here are those affected b}>- nutation. 
Hence if we use values referred to the mean equinox of date, we must add to a' — a 
the terms 



da ~ d<? ~ d© ^~ daj ' 



and to d' 



da ^ dd ~ d© ^^ dw 



A< 



(31) 



3 



The terms multiplied by A© and Ao» are of no importance, and it will be sufficient 
to put 

A« = — [b sin a sin Q, -[- a cos a cos $ J tan d, 
AJ — — b cos a sin Q -j- « sin </. eos ^, 

where 7; = 6".865 and a = 9 // .2235. 



}(32) 



XX111 



Then the terms, to add to a' — a. will be 



20 // .4451 



— (b + a cos o) ) sin 2 a cos ( O + Q, ) ~) 



..,4-(5coe. + «)co.*.*iJ© + 

+ ( o — a cos to) sin 2 a cos ( © — 



h 



6) J 



20".4451 



sin <Han£ 



— (6 cos w — «) cos 2 a sin (© 
and to d' — d (33) 

f — (b -\- acos (o) cos 2 « cos ( © + Q ) ' 

— (b cos (o + a) sin 2 a sin ( © + Q> ) 
+ (h — a cos w) cos 2 a cos (© — & ) 
-j- (b cos w — a) sin 2 a sin ( © — Q, ) 
+ (b — a cos w) cos (© + Q) 

i — (6 + a cos «>) cos (O — Q) 3 

Or, the numerical values of a, b and (o being substituted, we have, as on page vi, for the 
terms to add to a' — a, expressed in time, 



— 0.00005065 sin 2 a cos (© + & ) ~) 

+ 0.00005129 cos 2 a sin (© + Q>) I . . 

— 0.00000527 sin 2 a cos (© — £1 f t! 
+ 0.00000966 cos 2 a sin (© - 



sec 



and to & — 6 



c 



0.0003799 cos 2 a cos (© + 

— 0.0003847 sin 2 a sin (© + 

— 0.0000395 cos 2 a cos(© — 

— 0.0000725 sin 2 a sin (© — &) 

— 0.0000391 cos (0 + &) 

— 0.0003799 cos (© — Q) 
7. If now we make, as on page v, 

C = — 20 // .4451 cos to cos 0, 1 
D = — 20".4451 sin ©, 
C = jL C os a sec dj ! 

c? = -jL sin a sec <5 7 j 

c' = tan to cos <5 — sin a sin <5, 
d' = cos a sin o, \ 



(34) 



sin £ tan 8, 



(35) 



we shall have the combined effect of nutation and aberration on the place of the star, 

terms of the second order being omitted, b}' the formulae 

a' — a = aA' +lB+cC +dD + E, \ ^ 

d'—d = a 1 A' + b'B + c'C + d'D. ) [67j 

If we wish to include the mean motion of the star from the beginning of the year, we 

must add, respectively, to these expressions the terms (a + (j) r and (af + /j.') r, where 

for a, a', p. and <jJ si 
if we make A' + r 



for a, a', /j. and // should be taken their values, not for date, but for the time — . Hence 



A, the formulae become in this case, 
a' — a = aA + bB + cC + dD + E + fir, 
d< — 8 = a' A + b'B + c'C+d'D + ji'tj 



(38) 



da 



and to our terms of the second order must be added in ri<yht ascension — J — r 2 and in 

da' " T 

declination — i~p r2 ' or better, ^ ! l and /*' in the last two equations denote their values 

12 /1 2 ^ 12 

at the beffinnina 1 of the year, these terms will be — i — j 2 and — ^ -— ^t 2 where—- and 

d-o . " . dr . dz dz 

-yj- z have the values given on page xix. Neglecting the variation of m and n. and the terms 

not multiplied bv tan d or tan 2 £, these terms of the second order are, as on page vi, 
A (a/ — a) = + S .000003 r 2 sin a tan d 
— s .000149r 2 cosa tan d 

(39) 



A(rV 



— S .0000650 r 2 sinSatan 2 d, 
d'} = + ;/ .000975 r 2 sin 2 a tan o. 



XXIV 



8. In order that the subject of star reductions may he complete, it is necessary to 
consider the effect of orbital motion in double stars, 
sion and declination have alwavs this form 



The corrections of the right ascen- 



Aa = a -\-bt -\-Jc sin (u -f- K ), 
Afl = a' + b't + y sin (u + K'), 

where u is derived from the equation 

u — e sin u = n (t — T). 



} (40) 



(41) 



Construction of Table XXIV. 

9. It will be convenient to divide the quantities A and B each into two parts, so that 
A — A -\-A~, and B — B Q -\-B n , where for the epoch 1870 the values of A & 



B^ B,^ are 



A Q = r -f [6.5942] sin O + [7.4644] cos © — [8.4012] sin 2 ©, 

— [7.9609J sin © — [7.2370] cos © — [9.7410] cos 2 ©, 

— [1.27313] cos©, 

— [1.31059] sin©, 

— [9.53457+0.4*] sin Q + [7.6128] sin 2 &, 

— [0.96490] cos $ + [8.9518] cos 2 Q, 
_ [7.4951 —6.6*] sin &. 



L 

c = 

D = 



1 



J. (42) 



And we write, the term 2? Q being neglected, 

= aA Q + bB Q + cC-\- ilD-\-t±r, 
= a'A Q + b'B Q + c'C + *X> + pt'r, 



A a 

A 0< 

V^^n + ^n + ^n' 

A n* 



(43) 



< A a+ VB [r 

To A Q « and A <5 are added the terms of the second order in aberration, given on pages 
xxii and xxiii, and to &n a anc ^ ^q^ ^ ne terms of the second order in nutation given on 
page xxi, whenever they are sensible. 

If now we make 

j^ = — [1.31059] d + [6.5942] a — [7.9609] h, 

q Q = — [1.27313] c + [7.4644] a — [7.2370] b, 

2 X 2S = _ [ 8.4012] a + [5.7922] sec 2 d cos 2 a, 

# 20 = — [ 9.7410] b — [5.7938] sec 2 d sin 2 «, 

p' Q = _ [1.31059] d' + [6.5942] a' — [7.9609] V, 

q' Q = — [1.27313] & + [7.4644] a' — [7.2370] V 1 

p' 2Q = _ [ 8.4012J a' — [6.6673] tan d sin 2 «, 

q' 2Q = — [ 9.7410] V — [6.6688] tan <? cos 2 a + [5.6042] tan £, 

we shall have, terms of the second order included, 



(44) 



A„a 

O 



^ 



da 



d 2 « 



■P Q sin © + q Q cos © +i? 20 sin 2 © + q 2Q cos 2 © + -j-t + J — 



_2 
2 > 



d<S 



& 2 d 



.j/ Bin0 +ff' cos© +^ 20 sin 2© + 2 ' 20 cos 2© + -r + J — 



(45) 



XXV 



Let as make 




Pq = * cos K Q , 


P'e " 7,; '© cos ^'©' 


q Q = k Q sin X , 


«'© = * '© sin 7f '©> 


^0 = /; 20 cos/f 2 ©' 


^0 =/ %© cos7f ' 2 



ff 2 © = ^© sin - B: 2 ©' 

The above equations take the fo*n 
da , -, d 2 « 



<*' tt = Kn sin JP 



20 



20. 



J>(46) 






K '^ J 



(47) 



'©"~~d7 ' "d?" ' "'0^" (O + Jr/ © ) + "'20 

10. To compute the variations of Aq« and Aq<5 in 10 years, which are given in Table 
XXIV, we compute values of j? , #q, &c, for 1880, and subtract from them the values 
for 1870; calling the remainders op^oq^, &c; then, certain very small terms being 
neglected, we have evidently these equations : 

<S.A a =^0. sin O + dq^. cos O + ^q. sin 2 O -f- tfg 20 . cos 2 O 
+ 10 ~r+Jo Q cos (O + JT MO, 

d.C^ 8= dp'®. sinO + ^Q. cos + 4p' 20 . sin 2 O + ^'. cos 2 

The value of <SOis [6.0057] sin (O — 15°); substituting this, we have 
<J.A a= lO^r — [5.7047] k Q sin (7T + 15°) + dp Q . sin + <ty .cos0 ' 



(48) 



W49) 



dr 
+ [^ 20 + [5.7047| Jc Q cos (Jf - 15°)] sin 2 

+ [^20 + t 5 - 7047 ] *© sin (*0 - 15 °)] cos 2 °> 
<J.A <S = 10 ^r — [5.7047] 7</ Q sin (JBT' +15°) + ^ . sinO+^ .cos© 

+ [^ 20 + [5.7047] # cos (K' Q — 15°)] sin 2 

+ [<¥ 20 + [5.7047] fr sin (J5T' - 15°)] cos 2 0. 
As in the case of A~aandA~<5 these quantities can be made to take the form 

d.& Q a = a + &r +h Q sin(©+^ ) + 7> 20 sin (2 + # 20 ), > 

*. A <5 = a' + &'r + 7*' sin (© + J?' ) + tf ^ sin (2 0+F, ). J (5Uj 

Except for stars near the pole, the first and last terms of these equations may be 
neglected, and regard be had in computing dp^, 8$q, &c. ; only to the variations of c, d, 
d and cV in the formulae for p^, g , &c. Then 



.A « = logr + 7 i0 sm(O+7/ ), 
d 2 <J 



(51) 



'• A © * = 10 i? T + h 'e sin (G + a 'e ) - 

11. In computing A aandA £, we may either suppose h^K^h' and K'~ con- 
stant throughout the year, and afterwards add to A a and A _ <5 thus obtained, the proper 
fractional part of 7i sin (0 + H-A and ft' sin (0 -|- ^^ f° r the fraction of the year; 
or we may make them to vary from date to date. For stars, whose declination is within 
the limits db 65°, there is, however, no need to attend to this correction. 

Having formed a table of for every 10 sidereal days, beginning with the fictitious 
year, we can readily get for the time of the star's transit over the fictitious meridian 



XXVI 



witli the constant interpolation factor — 



_ i oh 4Qni 

£ , and thus form the arguments © -f- K G , 



Terms with small coefficients can be most readily formed by means of a Traverse Table. 
12. We can reduce A^a and A„£ to the forms, terms of the second order included, 






Jc Q sin (Q + K Q ) +7c 2Q sin (2 Q + If Q ), 
7/ Q sin ( & + 2f' Q ) + &' 2Q sin (2 Q + If' ) 



by makin< 



2£V> 



& Q cos K Q = — [9.53457 + 0At\ a — S .0031, 

7/ Q smJC a = — [0.96490] b, 

ha cogir 2Q = 

Ko. sin *»a = 

7l/ Q C ° S/f/ Q = 

V„ cos JT/ a = 



[7.6128] a + [5.0114] cos 2 a tan 2 5, 

[8.9518] & — [5.0294] sin 2 a tan 2 d, 

[9.53457 + OAt] ft', 

[0.96490] &', 

[7.6128] ft 7 — [5.8865] sin 2 a tan d, 

[8.9518] V — [5.9031] cos 2 a tan d — [5.3617] tan 

But perhaps it will be as well to adopt the formulae 



Yw 



2,0 



VtQ Sln K' ia = 



A .Q a 
A„<3 



aA n + bB n + E t 
a'A n + 6'5 



(53) 



P.' 



or. 



A Q r5 = 



/ Q +%sin(£ Q + «)tan<S, ((54) 

^Q C0S (^Q+ a ). ) 

Tables A to 7/, pages xxx-xxxv, give all the data needed for the computation of 
equations (45) to (54), for the period embraced in Table XXIV. 

13. Table XXVII. For stars near the pole it will be well to construct tables giving, 
with the arguments © + Q, and O — Q, the values of small terms given on page xxiii. 
These will be most readily computed with the aid of a Traverse Table, when they have 
been reduced to the forms 



A ©+^ ^©h-q^o + a +*'© + a), 



A 



© 



■a a=]: Q 



(55) 



sin(Q — Q + K Q _ a ), 
*'©_ Q si>'(O-a+tf0_ Q ), 

14. Table XXVIII. Tables for A <: a and A C <S may be computed in the same way 
For by making 

JCd cos If a = — [7.6075] ft, ■) 

7j c sin if c = — [S.9474] b, 



Jc' c cos K\ = — [7.6075] ft', 
lc\ sin If' c = — [8 9474] &', 

these quantities take the form 

A c a=*< sin(2<[ +#«), 
A^= /</< sin (2d +#'<). 



(50) 



} («1 



In tabulating these quantities it will be better to make sidereal time the argument 
rather than <L ; and if they are to be tabulated for several stars, they should be inter- 
polated forwards a time equal to a — 1S U 40 m , so that the argument may be the same 
for the transits of all the stars on the same sidereal day. 



XXV11 



If these quantities are tabulated for every tenth of a sidereal day throughout the period 
of the argument, we may take advantage of the fact that this period is almost exactly 
13.7 sidereal days, to arrange the Table so that there will be an interval of a sidereal 
day between successive values of the argument. 



Example. 

We will illustrate the preceding formulas by computing A a and its Variation in 10 

years for /? Iiydri. 

For 1870. For 1880. 

a= h 18 m 52 s .61 11 19 m 25M3 

d = — 77° 59' 14" — 77° 55' 52" 

log a = 0.40744 0.40538 

log& = 9.49449^ 9.49232w 

loffc = 9.50411 9.50202 



log d = 8.42083 8.43110 



In this case it is not necessary to compute the terms of 1? 9(T) ? # 2f7) j &c., which are of the 
order of the square of aberration, since they are altogether insensible. Deriving the 

values of — and — - from Table XXI, we have in formula (45) 
dr dr* 



A a = 3 s .2594r- 



S .0008 r 2 — S .5349 sin O — 5 a .9794 cos O 
478 507 

— 8 .0644 sin 2 O -f 0M720 cos 2 O 
41 11 

The figures written below the coefficients are those which belong to the values for 1880. 
To facilitate computation we give toA^a the following form, in which the unit of r is 10 
sidereal days instead of a year, and it is counted from the first transit of the star over the 
fictitious meridian. This is done by substituting .027304 r for r, and adding the change 
of A a in the time a — 18 h 40 m oi ; — d .765. 



A o* 



— S .00681 + S .088994 r — s .0000006r 2 

+ [0.77839] sin (Q+ 264° 53'. 3) + [9.2639] sin [2Q + 110° 31'.) 
641 44'.4 18 31 

Also by formula (49) we have the Variation of Aq« in 10 years, 
d. A Qf= + S .00033- S .000439 r + S .0315 sin( O + 1 14.°2) -j-0 s .C012 sin(20 +279°). 
From Table A we obtain © with the interpolating factor a — 18 h 40 m = — d .765, 
and thus form the arguments O -)- -^©i & c --> interpolating Kq &c, to date by means 
of the values obtained for 1870 and 1880. 



Sid. Day. 





10 

20 

30 

40 

50 

60 

70 

SO 

90 

100 

110 

120 

130 



Motion of O 
for — d .765. 



—46.7 
46.7 
46.6 
46.5 
46.3 
46.1 
45.9 
45.7 
45.5 
45.2 
44.9 
44.7 
44.5 

—44.2 



O- 



279 

289 

299 

309 

319 

329 

339 

349 

359 

9 

19 

29 

38 

48 



12.3 

22.1 

31.5 

39.8 

46. 

50. 

52. 

50. 

46. 

38.4 

27.1 

12.5 

54.7 

34.1 



2 0. 



198 25 

218 42 

239 3 

259 20 

279 33 

299 41 

319 44 

339 42 

359 33 

19 17 

38 54 

58 25 

77 49 

97 8 



O + K 



0" 



184 5.6 
194 15.4 
204- 24.8 
214 33.0 



224 
234 

244 
254 
264 
274 
284 
294 
303 
313 



39.5 
43.8 
45.3 
44.0 
39.3 
31.4 
20.1 
5.4 
47.6 
27.0 



2 O + K 



20' 



308 56 

329 13 

349 34 

9 51 

30 4 

50 12 

70 15 

90 13 

110 4 

129 48 

149 25 

168 56 

188 20 

207 39 



o+// 



0' 



33.4 

43.6 

53.7 

63.9 

74.0 

84.0 

94.1 

104.0 

114.0 

123.8 

133.6 

143 4 

153.1 

162.8 



XXV111 



Sid. Day. 


Motion of O 
for — d .76o. 


o. 


2 0. 


Q + K Q . 


2Q + K 2Q .\ 


+ // . 


■ 


/ 


o / 


o / 




o / 


/ 





140 


—44.0 


58 10.8 


116 22 




•323 3.7 


226 53 


172.4 


150 


43.8 


67 45.3 


135 31 




332 38.2 


246 2 


181.9 


160 


43.8 


77 18.0 


154 36 




342 10.8 


265 7 


191.5 


170 


43.7 


86 49.4 


173 39 




351 42.2 


284 10 


201.0 


180 


43.6 


96 20.2 


192 40 




1 13.0 


303 11 


210.5 


190 


43.7 


105 50.5 


211 41 




10 43.3 


322 12 


220.0 


200 


43.7 


115 21.3 


230 43 




20 14.0 


341 14 


229.5 


210 


43.8 


124 52.8 


249 46 




29 45.5 


17 


239.1 


220 


43.9 


134 25.7 


268 51 




39 18.4 


19 22 


248.6 


230 


44.1 


144 0.3 


288 1 




48 53.0 


38 32 


258.2 


240 


44.2 


153 37.3 


307 15 




58 30.0 


57 46 


267.8 


250 


44.4 


163 16.8 


326 34 




68 9.5 


77 5 


277.5 


260 


44.7 


172 59.2 


345 58 




77 51.9 


96 29 


287.2 


270 


45.0 


182 44.8 


5 30 




87 37.4 


116 1 


296.9 


280 


45.2 


192 33.8 


25 8 




97 26.4 


135 39 


306.8 


290 


45.4 


202 26.2 


44 52 




107 18.8 


155 23 


316.6 


300 


45.7 


212 21.9 


64 44 




117 14.4 


175 15 


326.6 


310 


45.9 


222 20.8 


84 42 




127 13.3 


195 13 


336.5 


320 


46.1 


232 22.7 


104 45 




137 15.2 


215 16 


346.6 


330 


46.3 


242 27.3 


124 55 




147 19.8 


235 26 


356.6 


340 


46.4 


252 33.9 


145 8 




157 26.4 


255 39 


6.8 


350 


46.6 


262 42.1 


165 24 




167 34.5 


275 55 


16.9 


360 


46.7 


272 51.5 


185 43 




177 43.9 


296 14 


27.0 


370 


—46.7 


283 1.4 


206 3 




187 53.8 


316 34 


37.2 


Sid. Day. 


Log. sin 


Log. k Q sin 


Log. sin 




Log. k 2( ~. sin 
(2 O + X©> 




Prec. -f 




(0 + K Q ) 


(O + * ) 


(2 o + * 


) 


Prop. Mot. 





8.85358m 


9.63197ft 


9.8909ft 




9.1548ft 




-0.0068 


10 


9.39141 


0.16980 


9.7091 




8.9730 


+0.08 


20 


61628 


39466 


9.2579ft 




8.5218ft 




0.1712 


30 


75368 


53206 


9.23312? 




8.4970p 




0.2602 


40 


84688 


62525 


9.6999 




8.9638 




0.3492 


50 


91192 


69029 


9.8855 




9.1494 




0.4381 


60 


95641 


73477 


9.9736 




9.2375 




0.5271 


70 


98440 


76276 


0.0000 




9.2639 




0.6161 


SO 


99811 


77646 


9.9728 




9.2367 




0.7051 


90 


99S65 


77700 


9.8855 




9.1494 




0.7941 


100 


9S627 


76461 


9.7065 




8.9704 




0.8831 


110 


96043 


73877 


9.2832/? 




8.54712? 




0.9721 


120 


91963 


69796 


9.1612ft 




8.4251ft 




1.0610 


130 


86092 


63925 


9.6666 




8.9305 




1J500 


140 


77884 


55717 


9.8633 




9.1272 




1.2390 


150 


66241 


44073 


9.9608 




9.2247 




1.3280 


160 


4S576 


0.26407 


9.9984 




9.2623 




1.4169 


170 


9.15927m 


9.93758ft 


9.9866 




9.2505 




1.5059 


ISO 


8.327022? 


9.10542p 


9.9227 




9.1866 




1.5949 


190 


9.26960 


0.04790 


9.7874 




9.0513 




1.6839 


200 


53S8S 


31717 


9.5075ft 




8.7714ft 




1.7728 


210 


69578 


47407 


7. 6942p 




6.95Sljp 




1.8618 


220 


80172 


58000 


9.5206 




8.7845 




1.9508 


230 


87701 


65529 


9.7944 




9.0583 




2.0397 


240 


93077 


70904 


9.9273 




9.1912 




2.1287 


250 


96764 


74591 


9.9888 




9.2527 




2.2177 


260 


9.99019 


0.70845 


9.9972 




9.2611 




2.3066 



XXIX 



Sid. Day. 


Log. sin 


Log 


. k^ sin 
+ *©) 


Log. sin 


Log. k, z ^. sin 
(2 + K SQ ) 


Prec + 


(0 + * ) 


(© 


(2 0+ /C ) 


Prop. Mot. 


270 


9.99962 





77787 


9.9536 


9.2175 


+2 8 .3956 


280 


99633 




77458 


9.8445 


9.1084 


2.4846 


290 


97987 




75812 


9.6197 


8.8836 


2.5735 


300 


94895 




72719 


8.918L? 


8.1820j9 


2.6625 


310 


90108 




67931 


9.4191rc 


8.6830/z 


2.7514 


320 


83171 




60994 


9.7615 


9.0254 


2.8404 


330 


73223 




51046 


9.9156 


9.1795 


2.9293 


340 


58394 




36216 


9.9863 


9.2502 


3.0183 


350 


9.33276 


0.1)0 17 


9.9976 


9.2615 


3.1072 


360 


8.59747p 


9 


.37567© 


9.9528 


9.2167 


3.1962 


370 


9.13795/1 


9.91614/1 


9.8373n 


9.1012/1 


+3.2851 


Sid. 
Day. 


k~. sin 

<©+*©> 


K® sin 

(20+2f 20 ) 


A «- 


+CK00033 

+10 *?r 
dr 3 


h^ sin 
(0 + H Q ) 


h p. sin 

(2©+K 20 ) 


Var. in 
10 years. 





—0^4285 


— 0. S 1428 


—0^5781 


+o!ooo3 


+o!oi73 


+o!oon 


+0^0187 


10 


1.4784 


0.0940 


1.4902 


— 1 




217 




8 


224 


20 


2.4812 


—0.0333 


2.3433 


5 




254 


+ 


4 


253 


30 


3.4045 


+0.0314 


3.1129 


10 




282 







272 


40 


4.2J94 


0.0920 


3.7782 


14 




302 


— 


4 


284 


50 


4.9011 


0.1411 


4.3219 


19 




313 




8 


286 


60 


5.4296 


0.1728 


4.7297 


23 




314 




10 


281 


70 


5.7911 


0.1836 


4.9914 


27 




305 




12 


266 


80 


5.9767 


0.1725 


5.0991 


32 




287 




12 


243 


90 


5.9841 


0.1411 


5.0489 


36 




261 




11 


214 


100 


5.8159 


0.0934 


4.8394 


41 




228 




8 


179 


110 


5.4799 


+0.0352 


4.4726 


45 




188 




5 


138 


120 


4.9884 


—0.0266 


3.9540 


49 




142 


— 


1 


92 


130 


4.3576 


0.0852 


3.2928 


54 




93 


+ 


3 


+ 42 


140 


3.6072 


0.1340 


2.5022 


58 


+ 


42 




'"7 


— 9 


150 


2.7589 


0.1678 


1.5987 


63 




11 




10 


64 


160 


1.8368 


0.1829 


—0.6028 


67 




63 




11 


119 


170 


—0.8661 


0.1780 


+0.4618 


71 




113 




12 


172 


180 


+0.1275 


0.1537 


1.5687 


76 




160 




11 


225 


190 


1.1)66 


0.1125 


2.6880 


80 




202 




9 


273 


200 


2.0757 


—0.0591 


3.7894 


84 




239 




6 


317 


210 


2.9790 


+0.0009 


4.8417 


£9 




270 


+ 


2 


357 


220 


3.8019 


0.0608 


5.8136 


93 




293 




2 


388 


230 


4.5216 


0.1144 


6.6757 


98 




308 




5 


411 


240 


5.1173 


0.1553 


7.4013 


102 




314 




9 


425 


250 


5.5707 


0.1789 


7.9673 


106 




312 




11 


429 


260 


5.8674 


0.1824 


8.3564 


111 




301 




12 


424 


270 


5.9961 


0.1650 


8.5567 


115 




281 




12 


408 ! 


280 


5.9509 


0.1284 


8.5639 


120 




252 




10 


382 ! 


290 


5.7296 


0.0765 


8.3796 


124 




216 




7 


347 j 


300 


5.3357 


+0.0152 


8.0134 


128 




173 


— 


3 


304 


310 


4.7787 


—0.0482 


7.4819 


133 




125 


+ 


1 


257 


320 


4.0733 


0.1060 


6.8077 


137 




73 




5 


205 ! 


330 


3.2394 


0.1512 


6.0175 


142 




18 




8 


152 ; 


340 


2.3023 


0.1779 


5.1427 


146 


+ 


87 




11 


98 j 


350 


1.2911 


0.1826 


4.2157 


. 150 




91 




12 


- 47 


360 


+0.2275 


0.1647 


3.2690 


155 




143 




12 





370 


—0.8244 


—0.1262 


+2.3345 


—0.0159 


+0.0190 


+0. 


0010 


+0.0041 



XXX 









TABLE A. 








The sidereal days are reckoned from the beginning of each fictitious year. 






o 










1 






'■ Sid. day. 

i 






T 


Sid. days of 
fictitious" year. 


Q 


Sid. days of 
fictitious year. 


Q 










I860. 


isro. 


1SSO. 














i 
1 


o / // 


u 


a 


y 






O 1 il 






o 1 '/ 


1 — 10 


269 48 87.8 


67.8 


47.9 


—0.02730 


1865 





216 6 15 


1873 





61 22 36 


+ o 


279 5rt 78.7 


5S.2 


37.6 


0.00000 




100 


210 49 24 




100 


56 5 45 


10 


290 8 71.8 


51.2 


30.5 


+0.0273U 




200 


205 32 32 




200 


50 48 53 


1 20 


300 17 89.0 69.0 


49.0 


0.0546J 




300 


200 15 41 




300 


45 32 2 


30 
40 


310 25 94.5 75.8 
320 32 54.0 37.1 


57.0 
20.2 


0.08191 
0.10922 




400 


194 58 50 




400 


40 15 11 


1866 





196 45 47 


1874 





42 2 9 


50 


3.30 36 58.0 


43.5 


28.9 


0.13652 




100 


191 28 56 




100 


36 45 17 


GO 


340 37 80.9 


69.3 


57.6 


0.16382 




200 


186 12 5 




200 


31 28 26 


70 


350 36 43.3 


34.8 


26.3 


0.19113 




300 


180 55 14 




300 


20 11 35 


80 
90 


31 51.5 
10 23 37.7 


46.3 
36.1 


41.1 
34.4 


0.21843 
0.24574 




400 


175 38 22 


400 


20 54 44 


1867 





177 25 20 


1875 





22 41 42 


100 


20 12 0.6 


2.5 


45 


0.27304 




100 


172 8 29 




100 


17 24 50 


110 


29 57 4 8 


10.2 


15.7 


0.30034 




200 


166 51 38 




200 


12 7 59 


120 


39 39 0.6 


9.3 


18.0 


0.32765 




300 


161 34 46 




300 


6 51 8 


130 
140 


49 18 3.0 
58 54 31.9 


14.7 

46.3 


26.5 
60.8 


0.35495 
0.33225 




400 


156 17 55 




400 


1 34 16 


1888 





158 4 53 


1876 





3 21 14 


150 


63 28 50.6 


67.3 


84.0 


0.40986 




100 


152 48 2 




100 


358 4 23 i 


1(50 


78 1 26. 1 


44.6 


63.2 


0.43686 




200 


147 31 10 




200 


352 47 31 i 


170 


87 32 47.0 


66 9 


86.9 


0.46417 




300 


142 14 19 




300 


347 30 40 


180 
190 


97 3 24.8 
106 33 50.5 


45.4 
71.3 


66.1 
922 


0.49147 

0.51877 




400 


136 57 28 




400 


342 13 49 


1869 





138 44 26 


1877 





344 47 1 


200 


116 4 36.9 


57.3 


77.8 


0.54608 




100 


133 27 34 




100 


333 43 55 


210 


125 33 14.8 


34.3 


53.9 


0.57333 


200 


128 10 43 




200 


333 27 4 ! 


220 


135 9 15.1 


33 2 


51.4 


0.60068 


300 


122 53 52 




300 


323 10 13 , 


230 

240 


144 44 6.1 
154 21 13.9 


22.3 
27.7 


38.5 
41.5 


0. 62799 
0.65529 




400 


117 37 




400 


322 53 22 


1870 





119 23 58 


1878 





324 40 20 


250 


164 1 0.8 


11.8 


22.8 


0.68259 


100 


114 7 7 




100 


319 23 28 


260 


173 43 45.6 


53.5 


61.5 


0.70990 


200 


108 50 16 




200 


314 6 37 


270 


183 29 41.9 


46.6 


51.3 


0.73720 I 


300 


103 33 24 




300 


303 49 46 ! 


280 
290 


193 18 59.2 
203 11 39.7 


60.2 
37.2 


61.3 
34.7 


0.76451 
0.79181 




400 


98 16 33 




400 


303 32 54 


1871 





100 3 31 


1879 





305 19 52 


300 


213 7 40.6 


34.5 


28.5 


0.81911 




100 


94 46 39 




100 


300 3 1 


310 


223 6 52.9 


43.4 


34.0 


84642 




200 


89 29 48 




200 


294 46 10 


320 


233 8 60.y 


48.4 


36.0 


0.87372 




300 


84 12 57 




300 


289 29 18 


330 
340 


243 13 43.9 
253 19 94 7 


28 5 

77.2 


13 2 

59.7 


0.90102 
0.92833 




400 


78 56 5 




400 


234 12 27 


1872 





80 43 3 


1380 





285 59 25 


350 


263 28 62.8 


43.5 


24.2 


0.95563 




100 


75 26 12 




100 


280 42 33 


360 


273 37 93 2 


73.0 


52.8 


0.98294 




200 


70 9 21 




200 


275 25 42 


370 


283 47 89.5 


68.7 


47.9 


1.01024 




300 


64 52 29 




300 


270 8 51 


380 


293 57 73.5 


53.0 


32.5 


+1.03754 




400 


59 35 38 




400 


264 52 





XXXI 









TABLE B. 








The sidereal days are reckoned from the 


Deginning of each fictitious year 




Sid. day. 


log. J . 


log. B Q . 


log 


C. 


log. 


D. 


18?0. 


1S70. 


88GO. 


1880. 


18<i0. 


1880. 


— 10 


+ 10 

20 
30 


—8.44493 

+7.94052 

8.64572 

8.89042 

9.03495 


+9.7480 
9.7213 
9.6315 
9.4430 

+8.9692 


+8.75956 

—0.51230 

0.81036 

0.97612 

1.08517 


+8.78615 

—0.51 182 

0.81013 

0.97598 

1.08508 


+1.31059 
1.30395 
1.28315 
1.24677 
1.19201 


+ 1.31059 
1 30397 
1.28318 
1.24681 
1.19207 


40 
50 
60 
70 
80 


9.13338 
9 20523 
9.26055 
9.30545 
9.34414 


—9.0062 
9.4510 
9.6317 
9.7173 
9.7423 


J. 16084 
1.21333 
1.24785 
1.26727 
1.27311 


1.16079 
1.21330 
1.24784 
1.26728 
1.27312 


1.11365 

1.00137 

0.83110 

+0.52310 

—9.27753 


1.11374 

1.00148 

0.83123 

+0.52331 

—9.27508 


90 
100 
110 
120 
130 


9.37972 
9.41427 
9.44911 

9.48484 
9.52143 


9.7145 
9.6275 
9.45(5 

—9.0389 
+8,8714 


1 ,26595 
1.24556 

1.21087 
1.15960 

1.08743 


1.26596 

1.24557 
1.21087 
1.15953 
1.08739 


0.56685 
0.84878 
1.00892 
1.11548 
1.19034 


0.56682 
0.84881 
1.00896 
1.11553 
1.19038 


140 

150 
160 
170 

180 


9.55847 
9.59527 
9. 63 J 06 
9.66515 
9.69692 


9.3950 
9.5949 
9 6937 
9.7320 
9 7203 


0.93612 

0.83758 

0.59015 

—9 90468 

+0.36252 


0.98603 

0.83741 

0.58980 

—9.90-273 

+0.36323 


1.24324 
1.27921 
1.30103 
1.31019 

1.30729 


1.24328 
1.22924 
1.30105 
1.31019 

1.30728 


190 
200 
210 
220 
230 


9.72599 
9.75209 
9.77515 

9.79524 
9.81265 


9.6559 

9.5189 

+9.2327 

—7.9180 

9.2730 


0.72810 
0.91616 
1.03318 
1.12378 

1.18508 


0.72841 
0.91635 
1.03831 
1.12386 
1.18514 


1.29218 

1.26396 
1.22071 
1.15891 
1.07203 


1.29216 
1.26392 
1.22065 

1.15883 
1.07194 


240 
250 
260 
270 
280 


9.82769 
9.84088 
9.85280 
9.86404 
9.87523 


9.5401 
9.6703 
9.7298 
9.7359 
9.6889 


1.22808 
1.2560 i 
1.27053 
1.27232 
1.26129 


1.22812 

1.25603 
1.27054 
1.27233 
1.26130 


0.94689 

0.75043 

—0.34892 

+0.09564 

0.67294 


0.94677 
0.75032 

—0.34861 

+0.09597 

0.67296 


290 
300 
310 
320 
330 


9.83690 
9.89949 
9.91323 
9.92312 
9.94403 


9.5737 

9.3331 

—8.4588 

+9.2118 

9.5265 


1.23653 

1.19609 
1.13644 

1.05108 
0.92676 


1.23654 
1.19612 
1.13649 
1.05116 
0.92692 


0.90592 
1.04819 
1.14530 
1.21379 
1.26135 


0.90590 
1.04815 
1.14526 
1.21375 
1.26132 


340 
350 
360 
370 
380 


9.96060 
9.97737 
9.99384 
0.00955 
+0.02410 


9.6715 
9.7370 
9.7445 

9.6959 
+9.5759 


0.73047 
+0.32805 
—0.07612 

0.65093 
—0.88195 


0.73072 
+0.32877 
—0.07479 

0.65050 
—0.88176 


1.29197 
1.30777 
1.30971 
1.29786 
+ 1.27142 


1.29195 
1.30776 
1.30972 

1.29783 
+ 1.27146 


A e 


= r — 0.0251 


9 sin 2 O -|- ( 


).00294sin(O 


+ 82° 190. 


C = — 18". 


7556 cos O- 


B e 


= _ 0".5506£ 


>cos2 — 


".0092 cos (O 


-j- 280° 420; 


Z> = — 20". 


4451 sin 0. 






£ « = aA e 


>+&* + i 


■ C -f cW + / 


l r. 








A tf = a'A c 


D + ^ + ( 


?a+--#p+-t 


l't. 













xxxii 








■ 




















TABLE C. 














The sidereal days are reckoned from the beginning of each fictitious year. 




Sid. days of 


log. A . 


l0 * V 


E ^- 


Sid. days of 


log. A _ . 


log. B . 


E a- 


fictitious year. 


Q> 


fictitious year. 


* Q> 


° Q> 


1865 





-j-9.31317 


+0.87388 


+0 8 0019 


1873 





—9.47296 


—0.65004 


— o!o027 




100 


9.25299 


0.90110 


0.0016 




100 


9.44780 


0.71424 


0.0026 




200 


9.17848 


0.92317 


0014 




200 


9.41732 


0.76886 


0.0024 




300 


9.08366 


0.94056 


0011 




300 


9.38074 


0.81042 


0.0022 




400 


8.95692 


0.95365 


0.0008 




400 


9.33693 


0.84664 


0.0020 


18G6 





+9.00441 


+0.94970 


+0.0009 


1874 





—9.35261 


—0.83515 


—0.0021 




100 


8.84362 


0.96U07 


0.0006 




100 


9.30317 


0.86716 


0.0019 




200 


8.57830 


0.96648 


0.0003 




200 


9.24338 


0.89355 


0.0016 




300 


+7.75078 


0.96904 


+0.0001 




300 


9. j 6999 


0.91498 


0.0014 




400 


—8.42582 


0.96780 


—0.0002 




400 


9.07736 


0.93193 


0.0011 


1867 





—8.19779 


+0 96865 


—0.0001 


1875 





—9.11128 


—0.92669 


—0.0012 




100 


8.68058 


0.96488 


0.0004 




100 


9.00062 


9.94090 


0.0009 




200 


8.90122 


0.95725 


0.0007 




200 


8.84691 


0.95115 


0.0007 




300 


9.04398 


0.94560 


0.0010 




300 


8.60081 


0.95766 


0.0004 




400 


9.14817 


0.92974 


0.0013 




400 


7.96209 


0.96051 


0.0001 


1868 





—9.11615 


+ 0.93558 


—0.0012 


1876 





—8.29126 


—0.95995 


—0.0002 




100 


9.20372 


0.91676 


0.0014 




100 


+8.05073 


0.98043 


+0.0001 




200 


9.27324 


0.89313 


0.0017 




200 


8.62270 


0.95733 


0.0004 




300 


9.32972 


0.86416 


0.0019 




300 


8.85929 


0.95058 


0.0007 




400 


9.37623 


0.82912 


0.0021 




400 


9.00915 


0.940U6 


0.0009 


1869 





—9.36151 


+0.84169 


—0.0021 


1877 





+8.96449 


—0.94404 


+0.0009 




100 


9.40252 


0.80206 


0.0023 




100 


9.08439 


0.93093 


0.0011 




200 


9.43642 


0.75435 


0.0025 




200 


9.17546 


0.91366 


0.0014 




300 


9.46427 


0.69662 


0.0026 




300 


9.24781 


0.89193 


0.0016 




400 


9.48683 


0.62579 


0.0028 




400 


9.30679 


0.86520 


0.0019 


1870 





—9.47977 


+0.65142 


—0.0027 


1878 





+9.28815 


—0.87480 


+0.0018 




100 


9.49913 


0.56929 


0.0029 




100 


9.34014 


0.84441 


0.0020 




200 


9.51400 


46351 


0.0030 




200 


9.38343 


0.80774 


0.0022 




300 


9 52473 


0.31856 


0.0030 




300 


9.41958 


0.76362 


0.0024 




400 


9 53152 


0.09405 


0.0031 




400 


9.44970 


0.71031 


0.0026 


1871 





—9.52965 


+0.18381 


—0.0031 


1879 





+9.44014 


—0.72948 


+0.0025 




100 


9.53393 


+9.83245 


0.0031 




100 


9.46668 


0.66872 


0.0027 




200 


9.53447 


—9.23198 


0.0031 




200 


9.48832 


0.59357 


0.0028 ' 




300 


9.53132 


0.00749 


0.0031 




300 


9.50551 


0.49787 


0.0029 




400 


9.52443 


0.26795 


0.0031 




400 


9.51856 


0.36970 


0.0030 


1872 





—9.52717 


—0.19648 


—0.0031 


1880 





+9.51460 


—0.41778 


+0.0030 




100 


9.51778 


0.37978 


0.0030 




100 


9 52504 


0.25465 


0.0030 




200 


9.50445 


0.50516 


0.0029 




200 


9.53168 


9.98254 


0.0031 




300 


9.48697 


0.59921 


0.0028 




300 


9.53458 


—9.05423 


0.0031 




400 


—9.46503 


—0.67322 


—0.0027 




400 


+9.53379 


+9.86753 


+0.0031 







O.342^sin8 + 0.00410sin28. \*™ 
9".22^cos8 + 0".0895cos28. [f^ 


E a> 


j-.-0-.O 


03 09 Sin ^ 


. 1860. 
5 * 1880. 






V-^fl+ w tf 











xxxm 









TABLE D. 










The sidereal days are reckoned from the beginning of the fictitious year. 




Sid. 


/©■ 


Log. £ Q . 


G (D' 


Log. h. 


H. 


Log. i 


Day. 


1S70. 


1870. 


1870. 


187©. 


1860. 


1880. 


1870. 


— 10 


s 
—0.0855 


9.89809 


o / 
+134 57.0 


1.31059 


o / 
9.6 


o / 
10.3 


+8.4102 





+0.0268 


9.74411 


71 37.5 


1.30955 


350 49.2 


350 50.0 


—0.1494 


+ 10 


0.1358 


9.99341 


25 45.8 


1.30646 


341 23.5 


341 24.2 


0.4476 


20 


0.2387 


0.19941 


10 5.6 


1.30165 


331 48.1 


331 48.5 


0.6134 


30 


0.3329 


0.33757 


+ 2 27.2 


1.29562 


321 58.7 


321 59.2 


0.7225 


40 


0.4176 


0.43590 


— 2 7.8 


1.28905 


311 53.6 


311 54.2 


0.7982 


50 


0.4928 


0.50912 


5 1.1 


1.28277 


301 32.5 


301 33.0 


0.8507 


60 


0.5597 


0.56573 


6 41.0 


1.27758 


290 57.5 


290 57.9 


0.8852 


70 


0.6207 


0.61124 


7 20.0 


1.27422 


280 13.0 


280 13.3 


•0.9046 


80 


0.6785 


0.64971 


7 6.5 


1.27314 


269 25.3 


269 25.5 


0.9105 


90 


0.7364 


0.68445 


6 9.2 


1.27447 


258 41.6 


258 41.7 


O.9033 


100 


0.7974 


0.71792 


4 39.4 


1.27796 


248 8.8 


248 8.7 


0.8829 


110 


0.8640 


0.75187 


2 51.8 


1.28309 


237 52.0 


237 51.9 


•0.8482 ! 


120 


0.9381 


0.78713 


— 1 1.4 


1.28918 


227 54.3 


227 54.0 


0.7970 i 


130 


1.0206 


0.82368 


+ 38.4 


1.29544 


218 16.5 


218 16.2 


0.7248 


140 


1.1115 


0.86095 


1 57.6 


1.30123 


268 57.1 


208 56.7 


0.6234 


150 


1.2098 


0.89803 


2 51.1 


1.30591 


199 53.1 


199 52.5 


0.4749 


160 


1.3137 


0.93400 


3 17.7 


1.30910 


191 0.7 


191 0.1 


0.2273 


170 


1.4210 


0.96811 


3 19.7 


1.31052 


182 15.0 


182 14.5 


—9.5411 


180 


1.5283 


0.99974 


3 0.8 


1.31007 


173 31.3 


173 30.6 


+0.0003 


190 


1.6347 


1.02860 


2 25.8 


1.30778 


164 44.3 


164 43.6 


0.3656 


200 


1.7359 


1.05449 


1 40.2 


1.30383 


155 49.3 


155 48.6 


0.5536 


210 


1.8305 


1.07741 


+ 49.2 


1.29860 


146 42.0 


146 41.3 


0.6756 


220 


1.9172 


1.09746 


— 2.3 


1.29256 


137 18.9 


137 18.3 


0.7612 


230 


1.9957 


1.11491 


49.4 


1.28635 


127 37.5 


127 37.0 


0.8225 


240 


2.0660 


1.13006 


1 28.4 


1.28065 


117 37.3 


117 36.9 


0.8655 


250 


2.1297 


1.14335 


1 55.7 


1.27621 


107 20.3 


107 20.0 


0.8934 


260 


2.1890 


1.15533 


2 9.1 


1.27363 


96 49.8 


96 49.5 


0.9079 ! 


270 


2.2464 


1.16656 


2 7.5 


1.27329 


86 11.4 


86 11.2 


0.9097 


280 


2.3050 


1.17768 


1 51.6 


1.27529 


75 31.9 


75 31.9 


0.8986 


290 


2.3678 


1.18925 


1 23.3 


1.27938 


64 57.8 


64 57.9 


0.8739 


300 


2 4374 


1.20175 


46.5 


1.28501 


54 34.4 


54 34.6 


0.8335 


310 


2.5157 


1.21545 


— 6.0 


1.29144 


44 25.0 


41 25.3 


0.7738 


320 


2.6035 


1.23036 


+ 32.9 


1.29784 


34 30.6 


34 31.0 


0.6885 


330 


2.7007 


1.24633 


1 5.5 


1.30350 


24 50.1 


24 50.7 


0.5642 


340 


2.8057 


1.26296 


1 28.1 


1.30774 


15 20.9 


15 21.4 


0.3680 


350 


2.9161 


1.27977 


1 38.6 


1.31014 


5 58.9 


5 59.5 


+9 9658 


360 


3.0289 


1.29623 


1 36.5 


1.31046 


356 39.4 


356 40.1 


—9.7128 


370 


3.1404 


1.31190 


1 23.2 


1.30863 


347 17.3 


347 18.2 


0.2880 


380 


+3.2474 


1.32639 


+ 1 1.1 


1.30485 


337 48.6 


337 49.2 


—0.5190 




<V = 


/© + ^H 


- # sin (6 


k+«>$ 


— +- h sin L 
> 


ff+«) se 1 c 5 


<J 


i 


A ©* = 


^' T + %c 


0S t 6 ©*" a ) 


-(- h cos (H 


-|- a) sin d -} 


- i cos d. 





31 



XXXIV 











TABLE E. 






| 








The sidereal days are reckoned from the beginning 


of each fictitious year. 


1 
j 




Sid. days of 
fictitious year. 


fa 


logg a 


G . 

a 


Sid. days of 
fictitious year. 


fa 


los ' g a 


V 




18G5 





s 
+0.6337 


0.93153 


O 1 

61 7.5 


1873 





—0.9155 


0.87202 


o / 
216 51.4 






100 


0.5517 


094130 


65 43.7 




100 


0.8641 


0.8S337 


222 38.5 






200 


0.4648 


94977 


70 9.0 




200 


0.8055 


0.89500 


228 6.9 






300 


0.3736 


0.95682 


74 25.2 




300 


0.7404 


0.90642 


233 17.4 






400 


0.2790 


0.96234 


78 34.6 




400 


0.6694 


0.91731 


238 11.5 




1866 





0.3113 


0.96066 


77 11.1 


1874 





0.6940 


0.91371 


236 34.0 






100 


0.2149 


0.96512 


81 16.8 




100 


0.6194 


92406 


241 18.5 






200 


0.1166 


0.96793 


85 18.6 




200 


0.5396 


0.93339 


245 49.8 






300 


+0.0174 


0.96907 


89 18.3 




300 


0.4558 


0.94155 


250 9.7 




I 


400 


—0.0821 


0.98852 


93 17.7 




400 


0.3682 


0.94836 


254 20.5 




1867 





0.0485 


0.96890 


91 56.8 


1875 





0.3981 


0.94622 


252 56.7 






100 


0.1476 


0.96723 


95 57.0 




100 


0.3085 


0.95211 


257 2.5 






200 


0.2454 


0.96390 


99 59.8 




200 


0.2167 


0.95649 


261 2.1 






300 


0.3410 


0.95892 


104 6.9 




300 


0.1230 


95934 


264 57.6 






400 


0.4334 


0.95239 


108 20.8 




400 


0.0283 


0.96060 


268 50.8 




1868 





0.4026 


0.95477 


106 54.4 


1876 





—0.0603 


0.96035 


267 32.3 






100 


0.4925 


0.94725 


111 13.3 




100 


+0.0346 


0.96056 


271 24.9 






200 


0.5780 


0.93836 


115 41.8 




200 


0.1293 


0.95919 


275 18.2 






300 


0.6583 


0.92823 


120 21.8 




300 


0.2229 


0.95624 


279 13.9 






400 


0.7327 


0.91712 


125 15.3 




400 


0.3147 


0.95175 


283 13.9 




1869 





0.7083 


0.92097 


123 34.6 


1877 





0.2840 


0.95343 


231 52.3 






100 


0.7785 


0.90932 


128 38.0 




100 


0.3742 


0.94795 


285 56.2 






200 


0.8417 


0.89716 


133 57.9 




200 


0.4616 


0.94102 


290 7.5 






300 


0.8974 


0.88487 


139 35.4 




300 


0.5452 


0.93280 


294 28.2 






400 


0.9453 


0.87293 


145 31.4 




400 


0.6246 


0.92339 


299 2 




1870 





0.9300 


0.87689 


143 29.1 


1878 





0.5983 


0.92667 


297 27.0 






100 


0.9725 


0.86547 


149 37.6 




100 


0.6744 


0.91660 


302 7.7 






200 


1.0063 


0.85528 


156 3.8 




200 


0.7450 


0.90568 


307 3.0 






300 


1.0314 


0.84690 


162 46.0 




300 


0.8097 


0.89423 


312 14.7 






400 


1.0477 


0.84082 


169 40.8 




400 


0.8679 


0.88266 


3i7 44.2 




1871 





1.0431 


0.84258 


167 19.6 


1879 





0.8489 


0.88653 


315 51.0 






100 


1.0535 


0.83828 


174 20.2 




100 


0.9025 


0.87505 


321 33.0 






200 


1.0548 


0.83682 


181 25.4 




200 


0.9486 


0.86418 


327 34.1 






300 


1.0473 


83833 


188 29.4 




300 


0.9868 


0.85445 


333 53.9 




1 


400 


1.0308 


0.84261 


195 26.4 




400 


1 0170 


0.84641 


340 30.6 




1872 





1.0373 


0.84085 


193 6.5 


1880 





1.0077 


0.84889 


338 14.9 






100 


1.0151 


0.84687 


199 56.7 




100 


1.0322 


0.84227 


345 1.3 






200 


0.9844 


0.85503 


206 32.4 




200 


1.0481 


0.83816 


351 59.1 






300 


0.9456 


0.86486 


212 51.0 




300 


1.0551 


0.83686 


359 3.3 






400 


—0.8990 


0.87580 


218 50.7 




400 


+1.0532 


0.83850 


6 8.2 










*©•-■ 


/ Q + fi , a Bin < e a + °> 


tan 3 
15 * 








_ 






*a s = 


Po 00B < ff o + a )- 

































XXXV 



ON THE PLACES AND PROPER MOTIOX OF (3 1 SCORPII, /? AXD y DEACONIS AND 61 1 CYGNI. 

From a report prepared by Mr. G. W. Hill. 

In this discussion almost all the materials to be derived from the well known col- 
lections of reduced observations have been employed. To accord with Dr. Gould's 
Standard Places of Fundamental Stars, the right ascensions as given in these collections 
have been reduced to the equinoctial points of Argelander's JDLX StcUarum Positioncs 
Mediae. Also the systematic corrections given by Dr. Auwer's, in the Astronomische 
XachricJiten, Vol. LXV, 370, 377-382, have been applied to the declinations. 



8 l Scorpli. 

Adopting for a provisional mean place of this star that of the Greenwich Seven-Year 
Catalogue for 1860, we have for any time, with a proper motion zero in both co-ordinates, 

a = 15 h 57 m 18 S .0S + 3 s . 47735 (£— I860) + s .00007.ll (t— I860) 2 , 
d = — 19° 25' S".37 — 10".2316 (£—1860) + 0".002203 {t— I860) 2 .' 
Constructing an ephemeris from these formulae and comparing it with the observations, 
both as published and corrected, w T e obtain the differences in columns I and II of the 
following table. From those in column II are derived, by the method of least squares, 
the following normal equations, in which A« and A<? denote the corrections of the pro- 
visional mean right ascension and declination, and /x and n 1 are the proper motions in 
right ascension and declination for 1860: 

37.5 Aa— 810m=+ l s .0865 

— 810 Aa + 40379 /x =— 64 s .793 

34 ££_ 746/x' = + 3S".685 

— 746 A<? + 39090 fjf = — 1279 // .485. 



Whence 



Aa= — S .010, 
A<5 = + 0".72, 



li = — S .00180 
/,/ = — 0".0189; 



and the corrected formulae for the mean place of the star will be 

a = 15 h 57 m 18 s .070 + 3 S .47555 {t— 1860) + S .0000712 (t 



I860) 2 
<5 = — 19° 25' 7".65 — 10". 2505 (t — I860) -+- // .0O2200 (t— I860) 2 . 
The differences of these and the corrected observations constitute column III of the table. 



Authority. 



Bradley, (Fund, Astr.) . 

Piazzi 

Airy, Camb. Cat. . . . 

Pond 

Stnive, Cat. Gen. . , 
Johnson, St. Hc'.ena . . 
Robinson, Arm. Cat. 
Taylor, Madras . . . 
Greenwich, 12 year Cat. 
Greenwich, 12 year Cat. 
Gillias, Washington . . 

Edinburgh 

lladcliifc Cat 

Greenwich 

Brussels 

Greenwich 

Greenwich 

Palis 



RIGHT ASCENSION". 



Mean 
year. 



1755 
1800 
1829 
1830 
1830 
1830 
1834 
1837 
1838 
1845 
1840 
1844 
1848 
1851 

1857 
1662 
1860 



Obs. — Cal. 



s 
+.118 
+.145 
+.037 
+.137 
+.107 
+.047 
—.081 
+.090 
—.061 
+.025 
+.020 
+.014 
+ .055 
+.007 

+ .005 
—.008 
— .005 



III. 



s 
+.118 
+ .206 
+.037 
+ .137 
+.067 
+.007 
—.051 
+.010 

} +.022 

4-.020 

+ .014 
—.025 
—.016 

—.COS 
—.021 
+.01] 



—.062 
+.1C8 
—.009 
+.093 
+.023 
—.037 
—.088 
—.020 

-.001 1 

—.006 

—.005 
—.037 
—.022 

— .0C3 
—.007 
+.022 



! Moan 
! year. 



DECLINATION. 



1755 
1800 
1829 
1830 
1830 
1830 
1853 
1837 
1838 
1844 

1842 
1850 
1851 
1856 
1857 
1862 
1860 



Obs. — Cal. 



II. 



+1.40 

+1.39 

+0.90 

+0.64 

+0.C6 ! +0.45 

+0.11 i +0.50 

+0.46 ! +0.57 



+2.51 
+0.80 
+1.76 
-1-0.76 
+1.94 
+1.27 
+0.66 

\ +1.07 

+0.22 

+2. 05 
+ 1.02 
+0.64 



III. 



—0.31 
+0.67 
—0.50 j 
+0.48 | 
—0.52 
+0.66 
+0.42 
—0.49 

—0.00 

—0.84 
+ 1.14 
+0.13 
—0.15 



—0.32 
—0.18 



XXXVI 



v Draconis. 

Deriving a provisional place from the same authority as for the previous star, with no 
proper motion, we obtain the formulae : 



■ 16 h 22 m 6 S .23 + S .79943 (t — 1860) + S .000Q943 (t — I860) 2 , 
±= + 61 49'54".16 — 8".3086 {t— I860) + 0".000548 (if— I860) 2 . 



Comparing these with the published and corrected observations we have columns I and 
II of the following table, and we find from the latter the normal equations, 

36 Aa — 647 ft = — 4 S .9S3 

— 647 Aa + 21146 ft = + 112 s .538 

39 A d — 766 ft' = — 35".23 

— 766 A<S + 38618 ft' = -J- 2293".37. 

Whence 

Aa=- S .095, 
A<5 == + 0".43, 

and the corrected formulae for the mean place of the star will be 

a = 16 h 22 m 6 S .135 + S .80185 (t — 1860) + S .0000924 (t — I860) 2 , 
d = + 61° 49' 54".59 — 8".2407 (t — 1860) -j- 0". 000551 (t — I860). 2 

The differences of these and the corrected observations constitute column III of the table. 



ft = + s .00242 

ft? = 4- 0// - 0679 j 



Authority. 



Bradley, (Fund. Astr.) . 

Piazzi 

Groombridge .... 
Struve, Cat. Gen. . , 

Pond 

Ttobinson. Arm. Cat. 
Taylor, Madras . . . 
Greenwich, 12 year Cat's 
Gilliss, Washington . . 
Henderson ..... 

Radcliffe 

Washington .... 
Greenwich ..... 
Brussels ...... 

Paris 

Greenwich 

Itadcliffe 

Greenwich 



RIGHT ASCENSION. 



Mean 
year. 



1755 
1800 
1810 
1830 
1830 
1833 
1835 
1841 
1841 
1841 
1842 
1853 
1851 
1856 
1857 
1858 
1859 
1863 



Obs. — Cal. 



-.804 
-.295 
-.022 
-.182 
-.409 
-.123 
-.059 
-.488 
-.045 
-.070 
-.108 
-.080 
-.074 
-.223 
-.044 
-.043 
-.173 



.417 
.049 
.062 
.182 
.469 
.203 
.118 
.188 
.045 
.150 
.1C8 
.123 
-.074 
.207 
.057 
.123 
,186 



III. 



—.170 
+.172 
+ .108 
—.012 
—.306 
—.046 
+.024 
—.046 
+.097 
—.010 
+.005 
—.005 
+ .C3L 
—.105 
+.043 
-.025 



DECLINATION. 



Mean 
year. 



1755 
1800 
1810 
1830 
1830 
1852 
1835 
1841 

1842 
1848 
1850 
1851 
1855 
1858 
1858 
1860 
1863 



Obs. — Cal. 



—7.41 
—3.65 
—2.96 
— 1.41 
—1.01 
—0.86 
—2.03 
—0.38 

—0.49 
—.045 
+0.51 
+0.26 
—0.02 
+0.75 
—0.15 
+0.41 
+0.44 



ii 
—7.41 
—2.85 
—2.51 
-1.47 
—0.94 
—0.82 
—1.49 
—0.60 

—0.76 

—0.05 
+ 0.34 
—0.13 
—0.02 
+ 0.32 
—0.27 
—0.30 
+0.32 



III. 



—0.74 
+ 0.79 
+0.45 
-f 0.14 
+ 0.67 
—0.71 
—0.22 
+0.26 

+0.03 
+ 0.34 
+ 0.59 
+ 0.05 
—0.11 
+0.03 
—0.56 
—0.13 
—0.32 



(3 Draconis. 

The provisional place of this star derived from the same source, with no proper 
motion, is 

a = 17 h 27 m 16 s .32 + P.35307 (t — 1860) + 8 .0000256 (t — I860) 2 , 
d = + 52° 24' 22".71 — 2".S543 (t — I860) -j- 0".0009S3 (* — I860) 2 . 

The comparisons of these with the published and corrected observations are given in 
columns I and II of the following table. From column II we find the normal equa- 
tions, 



XXXVII 



35.6 Aa — 744 /i = — P.635 



— 744 

43 

— 944 

Whence 



Aa + 39800 p. = — 32 s .231 
A<? — 944 p.' = + 15".34 
A<J + 45848 /si' = — 440"33. 



/a = — S .00273 



Aa = - S .103, 
A<J = + 0".27, fjf = — 0".0041 ; 

and the corrected formulae for the mean place of the star become, 

a = 17 h 27 m 16 s .217 + P.35034 {t— 1860) + S .0000257 (if — I860) 2 , 
8 = + 52°24 / 22".98 — 2".8584 (£— 1860) -f 0".000979 (£— I860) 2 . 
Comparisons of which, with the corrected observations, constitute column III of the 
table. 



Authority. 



Bradley, (Fund. Astr.) . 

Piazzi 

Groombridge .... 

Pond 

Argelander 

Taylor 

Henderson . . . * . 
Greenwich, 12 year Cat's 
Robinson, Arm. Cat. 

Radcliffe Cat 

Washington .... 

Greenwich 

Brussels 

Radcliffe 

Greenwich 

Paris 

Greenwich 



RIGHT ASCENSION. 



Mean 
year. 



1755 
1800 
1810 
1830 
1830 
1835 

1842 
1842 
1844 
1847 
1851 
1856 
1857 
1859 
1860 
1861 



Obs. — Cal. 



+.197 
—.188 
—.220 
+.039 
—.051 
+.201 

— .C75 
—.469 
—.030 
-.121 
—.032 
—.032 
—.135 
+.004 
—.143 
— 123 



+.197 
+.121 
—.067 
+.039 
—.051 
+.121 

—.114 
—.499 
—.110 
—.121 
—.045 
—.032 
—.135 
—.009 
—.127 
—.136 



III. 



DECLINATION*. 



Mean 
year. 



+ .012 
+.060 
—.101 
+.060 
—.030 
+.156 



—.061 

—.446 

—.051 

—.053 

+.034 

+.060 | 

—.040 

+.091 

—.024 

—.030 



1755 
1800 
1810 
1830 
1830 
1835 
1839 
1840 
1838 
1844 
1847 
1851 
1857 
1857 
1859 
1858 
1861 



Obs. — Cal. 



+0.05 
+ 1.19 
+0.61 
+0.57 
+0.57 
+0.70 
+0.41 
+0.30 
+0.87 
+0.46 
+0.36 
+0.43 
+0.48 
+1.15 
0.00 
+0.57 
—0.03 



+0.05 
+1.40 
+ 1.01 
+0.31 
+0.44 
+ 1.21 
+0.05 
+0.18 
—0.06 
+0.44 
+0.36 
+ 0.06 
+0.48 
+ 1.00 
+ 0.02 
+0.36 
—0.0 1 



III. 



—0.61 
+0.51 
+0.55 
— 0.08 
+0.05 
+0.84 
—0.30 
-0.17 
—0.42 
+ 0.11 
+0.04 
—0.25 
+0.20 
+0.72 
—0-25 
+0.C8 
—0.28 



6V Cygni. 

From Dr. Atjwers' elements of the position of this star in the Astronomisclic Nach- 
richtertj Vol. LIX, p. 354, we have 

a = 21 l1 0™ 37 s .396 + 2 S .6787S (*- 1860) + S .0000207 (t — I860) 2 , 

S = -f- 38° 3' 46 // .S6 + 17".4510 {t— 1S60) + 0".0O1493 (t— I860) 2 , 

including the proper motion in It. A., ,u = -|- S .34512, and in Dec, /■*' = -f- 3".2311. 

On account of the importance of Br\dley's two transit observations in determining the 
proper motion of this star, they have been reduced anew. With the equatorial intervals 
of the wires, as given in the Preface to the Observations, and the clock corrections and 
the constants of the instrumental corrections given by Bessel, in the Fundamcnta 
Astronomicej the resulting mean right ascensions differ more than S .5. If, however, 
for 1753, October 8, we derive the clock correction from the observations of a Bootis, 
a Aquilae, a Cygni, and a Piscis Australis, using Dr. Gould's well determined values 
of their right ascensions, we have for Oct. 8, IS 11 5 m 1 -f~ 23M3, instead of Besskl's 
value -f" 23 S .5S, or a correction of Bessel's clock correction for that night of — S .43. 

Making 1 this correction we have for the apparent II. A. for the time of transit at 
Greenwich, 

h m s Wires. 

1753, Sept. 25 20 55 54.54 1 

Oct, 8 20 55 54.38 3 



XXXV111 



Reducing these to mean place at date with the constants derived from these tables, 
the effect of the two terms depending on & being added, and taking the annual variation 
in mean It. A. at the epoch 1754 to be -f- 2 S .6695, which is sufficiently accurate, we 
have as the mean R. A. for 1755.0, 



Sept. 25 
Oct. 8 



h m e 

20 55 56.23 
20 55 56.32 



and, combined by giving double weight to the latter, 

h m s 

20 55 56.29 

as the mean result from Bradley's observations. 

Comparing the provisional formulae with the different authorities and the corrected 
values as for the other stars, we have columns I and II of the following table. For 
the declinations the normal equations resulting from column II, are 

54A(5— 1092A / a / = — 4". 59, 
— 1092 A«5 + 48478 A pf = + 381". 45; 

from which, 

A<S = -fO".14, 



A// = + 0".0109. 



With regard to the right ascensions, it has been found more convenient to plot the 
residuals and draw a parabolic curve so as most nearly to represent them. Thus the 
correction ot Auwers' formula is found to be 

+ S .041 + S .00653 (£—1860) + S .000054 (£— I860) 2 . 

Then the formula? for the corrected place are, 

a = 2P m 37 s .437 + 2 S .68531 [t— 1860) + S .00007*7 (£ — I860) 2 
d = -f 38° 3' 47 // .00 + 17". 4619 (* — 1860) + 0".001493 (t— I860) 2 , 

in which the right ascension includes the term -\- 8 .0000536 (t — I860) 2 due to varia- 
bility of proper motion. 

Column III of the table shows how nearly these represent the several authorities. 



Authority. 



Bradley, (corrected) 

Piazzi 

Bessel 

Struve .... 
Argelander . . . 

Pond 

Taylor .... 
Greenwich . . . 
Henderson . . . 
Greenwich . . . 
Washington . . 
Itadcliffe .... 
Greenwich . . . 
Brussels .... 
Greenwich . . . 
Radcliffe . . . 
Paris . ; . . . 
Greenwich . . . 



RIGHT ASCENSION. 



Mean 
year. 



1755 
1805 
1816 
1824 
1830 
1830 
1837 
1839 
1841 
1844 
1847 
1850 
1851 
1856 
1857 
1858 
1860 
1863. 



Obs. — Cal. 



—.062 
-.384 
—.131 
—.021 
—.091 
+ 349 
+.381 
—.089 
—.053 
—.059 
—.020 
+.071 
+.010 
—.052 
+.034 
+.030 
+•017 
+.082 



—.062 
—.169 
—.131 
—.061 
—.091 



—.053 
—.068 
—.020 
—.009 
—.013 
—.052 
+.021 
+.030 
+.033 
+.069 



III. 



—.013 
—.014 
+.011 
+.063 
+.015 



—.026 
+.011 
—.018 
+.015 
+.010 
—.000 
—.068 
—.001 
+.001 
—.008 
+.008 



DECLINATION. 



Mean 
year. 



1754 
1805 
1816 
1824 
1830 
1830 
1835 
1838 
1841 
1644 
1847 
1853 
1852 
1857 
1857 
1858 
1860 
1663 



Obs. — Cal. 



—1.27 
+2.32 
—0.29 
+0.42 
+0.12 
+0.92 
—1.06 
—0.73 
0.00 
—0.13 
—0.06 
+1.47 
+0.18 
+0.32 
—0.36 
+0.57 
+0.01 
—0.59 



II. 



—1.15 


—0.12 


+0.29 


+0.76 


—0 79 


—0.45 


+0.12 


+0.38 


—0.22 


—0.03 


+0.10 


+0.29 


-0.52 


—0.37 


—0.67 


—0.57 


- 0.37 


—0.29 


—0.19 


—0.15 


—0.22 


-0.21 


+0.94 


+0.88 


+0.14 


+0.09 


+0.32 


+0.22 


+0.24 


+0.14 


+0.20 


+0.09 


+0.02 


—0.12 


—0.29 


—0.46 



GENERAL TABLES 



GENERAL TABLES. 



TABLE I.— longitudes of tlie principal Observatories from Washington, 



Place. 



Abo. . 

Albany . 
Altona . 
Ann Arbor 
Armagh 



Athens 

Berlin 

Bilk. 

Bonn 

Breslau 



Brussels . . 
Cambridge, Eng. 
Cambridge, Mass. 
Cape of Good Hope 
Chicago 



Christiania 
Cincinnati 
Clinton . 
Copenhagen 
Ciacow . 

Dorpat . 
Dublin . 
' Durham 
Edinburgh 
Florence 

Geneva . 
Georgetown 
Gottingen 
Gotha . 
Greenwich 

Hamburg 

Helsingfors 

Hudson 

Kasan . 

Konigsberg 

Kremsmunster 



In Time. 
d 



—6 37 20.3-2 
— 13 12.87 
—5 47 58.54 
+0 26 42.6' 
—4 41 36.92 

—6 43 7.58 
— 6 1 47.77 
—5 35 17.77 
—5 36 36.02 
—6 16 22.19 

—5 25 41.29 
—5 8 35.08 
— 23 41.54 
—6 22 8.09 
+0 42 14.26 

—5 51 6.69 
+0 29 46.90 
— 6 35.08 
—5 58 31.05 

—6 28 2.80 



-6 55 6.02— .28826 
-4 42 50.39— .19642 



In decimals of a 



Day. 



d 
—.27593 
-.00918 
—.24165 
+ .01855 
—.19557 

—.27995 
—.25125 
—.23284 
—.23375 

—.26137 

—.22617 
-.21429 
—.01645 
—.26537 
-{-.02933 

—.24383 

+.02068 
^.00457 
-.24897 
-.26948 



—5 1 52.64 
—4 55 29.34 
— 5 53 15.1 C 

-5 32 49.24 
+0 6.20 
—5 47 58.49 
—5 51 3 39 
—5 8 12.39 

—5 48 5.95 
—6 48 1.32 
+0 17 32.06 
—8 24 41.14 
—6 30 11.87 
—6 4 45.03 



—.20964 
—.20520 
-.24531 

-.23113 

+.00007 
—.24165 
—.24379 
—.21403 

—.24174 
—.28335 

+.01218 
—.35048 
—.27097 
—.25330 



Year. 



Place. 



—.00076 Leipsic . 
—.00002 Ley den . 
—.00066 j Liverpool 
+.00005 Madras . 
—.00053 Mannheim 



—.00077 
—.00069 
—.00064 
—.00064 
—.00071 

—.00062 
—.00060 
—.00004 
—.00073 
+.00008 



Markree . 
Marseilles 
Milan. . 
Modena . 
Moscow . 

Munich . 
Naples 
New York 
Nicolajew 
Olmiitz . 



—.00067 I Oxford 
+.00006 Padua 



—.00001 
—.00068 
-.00074 

—.00079 
—.00054 
—.00057 
—.00056 
—.00067 

-.00063 
.00000 
—.00066 
—.00067 
—.00059 

—.00066 
—.00078 
+.00003 
—.00096 
—.00074 
—.00069 



Palermo . 
Paramatta 
Paris . 

Philadelphia 
Prague . 
Pulkowa . 
Rome. 
San Fernando 



Santiago . 
Senftenberg . 
Speyer . . 
Stockholm . 
St. Petersburg 

Upsala . 
Utrecht . 
Vienna . 
Washington . 
Wilna . . 



In Time. 
d 



In decimal of a 



Day. 



• 5 57 46.87 

• 5 26 8.57 
-4.56 12.34 
-10 29 9.67 

- 5 42 3.06 

- 4 34 24.00 

- 5 29 40.55 

- 5 44 58.20 

- 5 51 55.53 

- 7 38 29.29 

- 5 54 38.00 

- 6 5 10.95 

- 12 15.47 

- 7 16 6.53 

- 6 17 15.43 

- 5 3 9.79 

- 5 55 41.17 

- 6 1 37.00 
•15 12 18.64 



- 5 17 33.02— .22052 



7 33.64 

6 5 53.52 

7 9 31.06 

5 58 8.53 

4 43 22.42 

25 30.00 

6 14 3.00 

5 41 58.00 

6 20 26.35 

7 9 25.87 

6 18 42.70 

5 28 43.67 

6 13 44.09 
0.00 
6 49 23.33 



d 
—.24846 
—.22649 
—.20570 
—.43692 
—.23753 

—.19056 
—.22894 
—.23956 
—.24439 
—.31839 

—.24627 
—.25360 
—.00851 
—.30285 
—.26198 

—.21053 
—.24700 
—.25112 
—.63353 



—.00525 
—.25409 
—.29828 
—.24871 
—.19679 

—.01771 
—.25976 
—.23748 
—.26419 
—.29822 

—.26299 
—.22828 
—.25954 
.00000 
—.28430 



Year. 



y 
—.00068 

—.00062 

—.00056 

—.00120 

—.00065 

—.00052 
—.00063 
—.00066 
—.00067 
—.00087 

—.00067 
—.00070 
—.00002 
—.00083 
—.00072 

—.00058 
—.00068 
—.00069 
—.00173 
—.00061 

—.00001 

— 00070 
—.00082 
—.00068 
—.00054 

—.00005 
—.00071 
—.00065 

—.00072 
—.00082 

— 00072 
—.00063 

—.00071 
.00000 

.00078 



GENERAL TABLES. 





FABLE II.- 


-Number of clays from Jan. in common 
bissextile years. 


years, 




and from Jan. 1 in 


I 

o 

O 

b 


JANUARY. 


FEBRUARY. 


< 


►J 

S 

< 


< 






en 
© 
< 


PS 

« 

i 

H 

PL, 


pa 
o 

H 
O 

o 


2 
U 
> 
o 


K 
W 
■pa 

w 
u 
w 


u 
a 

HI 

»>* 


o 

a 
a 

o 
O 


a 


u 

cS 
O) 

§ 

s 

a 

o 
O 


53 

as 

V 

w 

W 


1 


1 





32 


31 


60 


91 


121 


152 


182 


213 


244 


274 


305 


335 


.2 


2 


1 


33 


32 


61 


92 


122 


153 


183 


214 


245 


275 


306 


3f>6 


3 


3 


2 


34 


33 


62 


93 


123 


154 


184 


215 


246 


276 


307 


337 


4 


4 


3 


35 


34 


63 


94 


124 


155 


185 


216 


247 


277 


308 


338 


5 


5 


4 


36 


35 


64 


95 


125 


156 


186 


217 


248 


278 


309 


339 


6 


6 


5 


37 


36 


65 


96 


126 


157 


187 


218 


249 


279 


310 


340 


v 


7 


6 


38 


37 


66 


97 


127 


158 


188 


219 


250 


280 


311 


341 


8 


8 


7 


39 


38 


67 


98 


128 


159 


189 


220 


251 


281 


312 


342 


9 


9 


8 


40 


39 


68 


99 


129 


160 


190 


221 


252 


282 


313 


343 


10 


10 


9 


41 


40 


69 


100 


130 


161 


191 


222 


253 


283 


314 


344 


11 


11 


10 


42 


41 


70 


101 


131 


162 


192 


223 


254 


284 


315 


345 


12 


12 


11 


43 


42 


71 


102 


132 


163 


193 


224 


255 


285 


316 


346 


13 


13 


12 


14 


43 


72 


103 


133 


164 


194 


225 


256 


286 


317 


347 


14 


14 


13 


45 


44 


73 


104 


134 


165 


195 


226 


257 


287 


318 


348 


15 ' 


15 


14 


46 


45 


74 


105 


135 


166 


196 


227 


258 


288 


319 


349 


16 


16 


15 


47 


46 


75 


106 


136 


167 


197 


228 


259 


289 


320 


350 


17 


17 


16 


48 


47 


76 


107 


137 


168 


198 


229 


260 


290 


321 


351 


18 


18 


17 


49 


48 


77 


108 


138 


169 


199 


230 


261 


291 


322 


352 


19 


19 


18 


50 


49 


78 


109 


139 


170 


200 


231 


262 


292 


323 


353 


20 


20 


19 


51 


50 


79 


110 


140 


171 


201 


232 


263 


293 


324 


354 


21 


21 


20 


52 


51 


80 


111 


141 


172 


202 


233 


264 


294 


325 


355 


22 


22 


21 


53 


52 


81 


112 


142 


173 


203 


234 


265 


295 


326 


356 


23 


23 


22 


54 


53 


82 


113 


143 


174 


204 


235 


266 


296 


327 


357 


24 


24 


23 


55 


54 


83 


114 


144 


175 


205 


236 


267 


297 


328 


358 


25 


25 


24 


56 


55 


84 


115 


145 


176 


206 


237 


268 


298 


329 


359 


26 


26 


25 


57 


56 


85 


116 


146 


177 


207 


238 


269 


299 


330 


360 ' 


27 


27 


26 


58 


57 


86 


117 


147 


178 


208 


239 


270 


300 


331 


361 


28 


28 


27 


59 


58 


87 


118 


148 


179 


209 


240 


271 


301 


332 


362 


29 


29 


28 




59 


88 


119 


149 


180 


210 


241 


272 


302 


333 


363 


30 


30 


29 






Sd 


120 


150 


181 


211 


242 


273 


303 


334 


364 


31 


31 


30 






90 




151 




212 


243 




304 




365 



GENERAL TABLES. 



TABLE III. 


-Reduction of hours and minutes to decimals of a day and year. 


Hours. 


Decimal of 
a day. 


Decimal of 
a year. 


Minutes. 


Decimal of 
a day. 


Decimal of 
a year. 


Minutes. 


Decimal of 
a day. 


Decimal of 
a year. 




d 


y 




d 


y 




d 


y 


1 


0.042 


0.00011 


1 


0.001 


0.00000 


31 


022 


0.00006 


2 


.083 


.00023 


2 


.001 


.00000 


32 


.022 


.00006 


3 


.125 


.00034 


3 


.002 


.00001 


33 


.023 


.00006 


4 


.167 


.00046 


4 


.003 


.00001 


34 


.024 


.00006 


5 


.208 


.00057 


5 


.003 


.00001 


35 


.024 


.00007 


6 


.250 


.00068 


6 


.004 


.00001 


36 


.025 


.00007 


7 


.292 


.00080 


7 


.005 


.00001 


37 


.026 


.00007 


8 


.333 


.00091 


8 


.006 


.00002 


38 


.026 


.00007 


9 


.375 


.00103 


9 


.006 


.00002 


39 


.027 


.00007 


10 


.417 


.00114 


10 


.007 


.00002 


40 


.028 


.00008 


n 


.453 


.00125 


11 


.008 


.00002 


41 


.028 


.00008 


12 


.500 


.00137 


12 


.008 


.00002 


42 


.029 


,00008 


13 


.542 


.00148 


13 


.009 


.00002 


43 


.030 


.00008 


14 


.583 


.00160 


14 


.009 


.00003 


44 


.031 


.00008 


15 


.625 


.00171 


15 


.010 


.00003 


45 


.031 


.00009 


16 


.667 


.00183 


16 


.010 


.00003 


46 


.032 


.00009 


17 


.708 ' 


.00194 


17 


.011 


.00003 


47 


.033 


.00009 


18 


.750 


.00205 


18 


.012 


.00003 


48 


.033 


.00009 


19 


.792 


.00217 


19 


.013 


.00004 


49 


.034 


.00009 


20 


.833 


.00228 


20 


.014 


.00004 


50 


.035 


.00010 


21 


.875 


.00240 


21 


.015 


.00004 


51 


.035 


.00010 


22 


.917 


.00251 


22 


.015 


.00004 


52 


.036 


.00010 


23 


0.958 


.00262 


23 


.016 


.00005 


53 


.037 


.00010 


24 


1,000 


0.00274 


24 


.017 


.00005 


54 


.038 


.00010 








25 


.017 


.00005 


55 


.038 


.00010 








26 


.018 


.00005 


56 


.039 


.00011 








27 


.019 


.00005 


57 


.040 


.00011 








28 


.019 


.00005 


58 


.040 


.00011 








29 


.020 


.00006 


59 


.041 


.00011 








30 


0.021 


0.00006 


60 


0.042 


0.00011 


1 















6 



GENERAL TABLES. 



TABLE IV.— Fraction of the year elapsed from Jan. 


in common 


years, Jan. i in Ms- 




sextilc years, to the midnight of each day of the y 


ear. 




DAY. 




DAY. 












Fraction of year. 




Fraction of year. 


Day. 


Fraction of 
year. 










Com. year. 


Bis. year. 




Com. year. 


Bis. year. 








Jan. 


Jan. 1 


0.00137 


Feb. 22 


Feb. 23 


.14648 


Apr. 16 


0.29159 


1 


o 


.00411 


23* 


24 


.14922 


17 


.29433 


2 


3 


.00684 


24 


25 


.15195 


18 


.29706 


3 


4 


.00958 


25 


26 


.15469 


19 


.29980 


4 


5 


.01232 


26 


27 


.15743 


20 


.30254 


5 


6 


.01506 


27 


28 


.16017 


21 


.30528 


6 

7 


7 
8 


.01780 
.02053 


28 


29 


.16291 
.16564 


22 
23 


•30801 
.31075 


Mar. 1 


8 


9 


.02327 


2 


.16838 


24 


.31349 


9 


10 


.02601 


3 


.17112 


25 


.31623 


10 


11 


.02875 


4 


.17386 


26 
27 


.31897 


11 


12 


•03149 


5 


.17660 


.32170 


12 


13 


•03422 


6 


.17933 


28 


•32444 


13 


14 


.0:5696 


7 


.18207 


29 


.32718 


14 


15 


•03970 


8 


•18481 


30 


.32992 


15 


16 


•04244 


9 


.18755 


May 1 


.33266 


16 


17 


•04518 


10 


.19028 


2 


•33539 


17 


18 


•04791 


11 


.19302 


3 


.33813 


18 


19 


•05065 


IS 


.19576 


4 


.34087 


19 


20 


•05339 


13 


' -19850 


5 


•34361 


20 


21 


.05613 


14 


.20124 


6 


.34635 


21 


22 


.05887 


15 


.20397 


7 


•34908 


22 


23 


.06160 


16 


.20671 


8 


.35182 


23 


24 


.06434 


17 


.20945 


9 


.35456 . 


24 


25 


.06708 


18 


.21219 


10 


•35730 


25 


26 


.06982 


19 


.21493 


11 


.36004 


26 


27 


.07255 


20 


.21766 


12 


.36277 


27 


28 


.07529 


2L 


.22040 


13 


.36551 


28 


29 


.07803 


22 


.22314 


14 


.36825 


29 


30 


.08077 


23 


.22588 


15 


.37099 


30 


31 


.08351 


24 


.22862 


16 


•37372 


31 


Feb. 1 


.08624 


25 


.23135 


17 


•37646 


Feb. 1 


2 


.08898 


26 


.23409 


18 


.37920 


o 


3 


.09172 


27 


.23683 


19 


•38194 


3 


4 


.09446 


28 


.23957 


20 


•38468 


4 


5 


.09720 


29 


.24230 


21 


•38741 


5 


6 


.09993 


30 


.24504 


22 


.39015 


C 


7 


.10267 


31 


.24778 


23 


.39289 


7 


8 


.10541 


Apr. 1 


.25052 


24 


.39563 


8 


9 


.10815 


2 


.25326 


25 


•39837 


9 


10 


.11089 


3 


.25599 


26 


.40110 


10 


11 


.11362 


4 


.25873 


27 


.40384 


11 


12 


.11636 


5 


.26147 


28 


.40658 


12 


13 


.11910 


6 


.26421 


29 


.40932 


13 


14 


.12184 


7 


.26695 


30 


.41206 


14 


15 


.12457 


8 


.26968 


31 


.41479 


15 


16 


.12731 


9 


.27242 


June 1 


.41753 


16 


17 


.13005 


10 


.27516 


2 


.42027 


17 


18 


.13279 


11 


.27790 


3 


•42301 


18 


19 


.13553 


12 


.28064 


4 


•42574 


19 


20 


.13826 


13 


.28337 


5 


.42848 


20 


21 


.14100 


14 


.28611 


6 


•43122 


21 


22 


0.14374 


15 


.28885 


7 


.43396 



For noon subtract 0. 00137. 



GENERAL TABLES. 



TABLE 1 


Y.— Fraction of the year elapsed from Jan. in common years, Jan. 1 in bis- 




sextile years, to the midnight of each day of the y 


ear. 




Day. 


Fraction of year. 


Day. 


Fraction of J D 
year. * ' 


Fraction of 
year. 


Day. 


Fraction of 
year. 




y 




y 1 


y 




y 


June 8 


.43670 


July 30 


.57907 | Sept. 20 


0.72144 


Nov. 11 


.86381 


9 


.43943 


31 


.58181 . 21 


.72418 


12 


.86655 


10 


.44217 


Aug. 1. 


.58454 


22 


.72691 


13 


.86929 


11 


.44491 


2 


.58728 


23 


.72965 


14 


.87202 


12 


.44765 


3 


.59002 


24 


.73239 


15 


.87476 


13 


.45039 


4 


.59276 


25 


.73513 


16 


.87750 


14 


.45312 


5 


.59550 


26 


.73787 


17 


.88024 


15 


.45586 


6 


.59823 


27 


.74060 


18 


.83298 


16 


.45860 


7 


.60097 


28 


.74334 


19 


.88571 


17 


.46134 


8 


60371 


29 


.74608 


20 


•88845 


18 


.46408 


9 


.60645 


30 


.74882 


21 


.89119 


19 


.46681 


10 


.60918 


Oct. 1 


•75156 


22 


•89393 


20 


.46955 


11 


.61192 


2 


.75429 


23 


•89667 


21 


.47229 


12 


.61466 


3 


.75703 


24 


•89940 


22 


•47503 


13 


.61740 


4 


.75977 


25 


•90214 


23 


.47777 


14 


.62014 


5 


.76251 


26 


.90488 


24 


.48050 


15 


.62287 


6 


.76525 


27 


.90762 


25 


.48324 


16 


. .62561 


7 


.76798 


28 


.91035 


26 


.48593 


17 


.62835 


8 


.77072 


29 


.91309 


27 


.48872 


18 


.63109 


9 


.77316 


30 


.91583 


28 


•49145 


19 


•63383 


10 


•77620 


Dec. 1 


.91857 


29 


•49419 


20 


•63656 


11 


•77894 


2 


.92131 


30 


•49693 


21 


•63930 


12 


•78167 


3 


.92404 


July 1 


•49967 


22 


•64204 


13 


•78441 


4 


.92678 


2 


•50241 


23 


•64478 


14 


•78715 


5 


.92952 


3 


•50514 


24 


.64752 


15 


.78989 


6 


.93226 


4 


•50788 


25 


.65025 


16 


.79262 


7 


.93500 


5 


•51062 


26 


•65299 


17 


.79536 


8 


.93773 


6 


•51336 


27 


.65573 


18 


' .79310 


9 


.94047 


7 


•51610 


28 


.65847 


19 


.80084 


10 


.94321 


8 


.51883 


29 


.66121 


20 


.80358 


11 


.94595 


9 


.52157 


30 


.66394 


21 


.80631 


12 


.94869 


10 


.52431 


31 


.66668 


22 


.80905 


13 


.95142 


11 


.52705 


Sept. 1 


.66942 


23 


.81179 


14 


.95416 


12 


.52979 


2 


.67216 


24 


.81453 


15 


.95690 


13 


.53252 


3 


.67489 


25 


.81727 


16 


.95964 


14 


.53526 


4 


.67763 


26 


.82000 


17 


.96233 


15 


.5300 


5 


.68037 


27 


.82274 


18 


.96511 


16 


.54074 


6 


.68311 


28 


.82548 


19 


.96785 


17 


.54348 


7 


.68585 


29 


.82822 


20 


.97059 


18 


•54621 


8 


•68858 


30 


•83096 


21 


.97333 


19 


•54895 


9 


.69132 


31 


.83309 


22 


.97606 


20 


•55169 


10 


.69406 


Nov. 1 


•83643 


23 


.97880 


21 


•55443 


11 


.69680 


2 


.83917 


24 


.98154 


22 


•55716 


12 


•69954 


3 


.84191 


25 


.93428 


23 


.55990 


13 


.70227 


4 


.84465 


26 


.98702 


24 


.56264 


14 


.70501 


5 


.84738 


27 


.98975 


25 


.56538 


15 


.70775 


6 


.85012 


28 


.99249 


26 


.56812 


16 


.71049 


7 


.85286 


29 


.99523 


27 


.57085 


17 


.71323 


8 


.85560 


30 


.99797 


28 


.57359 


18 


.71596 


9 


.85833 


31 


1 .00071 


29 


.57633 


19 


0.71870 


10 


0.86107 


32 


1 .00344 








For noon subti 


y 

act 0. 00137. 









8 



GENERAL TABLES. 







TABLE V.— Precession. 


Motion of Ecliptic. 








ANNUAL PRECESSION. 






. 








Year. 






m 


m 


n 


log n 


77 


M 








Lunisolar. 


General. 
















// 


// 


a 


s. , 


a 




II 


o / n 


1750 


50.3906 


50.2298 


46.0480 


3,06987 


20.0650 


1.302439 


0.4779 


172 17 50 


55 


.3896 


.2309 


.0495 


.06997 


.0646 


430 


79 


20 36 


GO 


.3885 


.2320 


.0509 


.07006 


.0641 


421 


79 


23 22 


65 


.3874 


.2332 


.0523 


.07016 


.0637 


411 


78 


26 8 


70 


.3863 


.2343 


.0537 


.07025 


.0633 


402 


78 


28 54 


1775 


50.3852 


50.2354 


46.0552 


3.07035 


20.0629 


1.302393 


0.4778 


172 31 40 


80 


.3841 


.2366 


.0566 


.07044 


.0624 


383 


77 


34 26 


85 


.3830 


.2377 


.0580 


.07054 


.0620 


374 


77 


37 13 


90 


.3820 


.2388 


.0594 


.07063 


.0616 


365 


77 


39 59 


95 


.3809 


.2400 


.0609 


.07073 


.0611 


355 


76 


42 45 


1800 


50.3798 


50.2411 


46.0623 


3.07082 


20.0607 


1.302346 


04776 


172 45 31 


05 


.3787 


.2422 


.0637 


.07091 


.0603 


337 


76 


48 17 


10 


.3776 


.2434 


.0651 


.07101 


.0598 


327 


75 


51 3 


15 


.3765 


.2445 


.0666 


.07110 


.0594 


318 


75 


53 49 


20 


.3755 


.2456 


.0680 


.07120 


.0590 


309 


75 


56 36 


1825 


50.3744 


50.2468 


46.0694 


3.07129 


20.0585 


1.302299 


0.4774 


172 59 22 


30 


.3733 


.2479 


.0708 


.07139 


.0581 


290 


74 


173 2 8 


35 


.3722 


.2490 


.6723 


.07148 


.0577 


281 


74 


4 54 


40 


.3711 


.2502 


.0737 


.07158 


.0572 


271 


73 


7 40 


45 


.3700 


.2513 


.0751 


.07167 


.0563 


262 


73 


10 26 


1850 


50.3690 


50.2524 


46.0765 


3.07177 


20.0564 


1.302253 


0.4772 


173 13 12 


55 


.3679 


.2536 


.0780 


.07187 


.0559 


244 


' 72 


15 59 


GO 


.3668 


.2547 


.0794 


.07196 


.0555 


234 


72 


18 45 


G5 


.3657 


.2559 


.0S08 


.07206 


.0551 


225 


71 


21 31 


70 


.3646 


.2570 


.0822 


.07215 


.0547 


216 


71 


24 17 


1875 


50.3635 


50.2581 


46.0837 


3.07225 


20.0542 


1.302206 


0.4771 


173 27 3 ' 


80 


.3624 


.2593 


.0851 


.07234 


.0538 


197 


70 


29 49 


85 


.3614 


.2604 


.0865 


.07244 


.0534 


187 


70 


32 35 


90 


.3603 


.26 15 


.0879 


.07253 


.0529 


178 


70 


35 22 


95 


.3592 


.2627 


.0894 


.07263 


.0525 


169 


69 


38 8 


1900 


50.3581 


50.2638 


46.0908 


3.07272 


20.0521 


1.302159 


0.4769 


173 40 54 








MOTIC 


N. 








Yra. 


// 


// 


a 


s 


// 








1 


— 0/0002.2 


+0.0002.3 


+0.0002.8 


+0.00001.9 


—0.0000.9 


—0.000002 




+0 33 ' 


2 


04.3 


04.5 


05.7 


3.8 


1.7 


04 




1 6 


3 


06.5 


06.8 


08.5 


5.7 


2.6 


06 




1 40 


4 


08.7 


09.1 


11.4 


7.6 


3.5 


08 




2 13 


5 


10.8 


11.3 


14.2 


9.5 


4.3 


09 




2 46 


10 


0.0021.7 


0.0022.7 


0.0028.5 


0.00019.0 


0.0008.6 


0.000019 




5 32 






ANNUAL PRI 


^CESSION 


of fixe: 


D STARS. 










In Right Ascension, A 


a = m + n 


sin a tan 6 












In Declination, A 


d = n cos c 


i 










1 


In Longitude, a 


\ = Gen. P 


rec. + 77 cc 


s (A — JS1) 


tan/5 








In Latitude, A 


(3 = — tt si 


n (1 — M) 









GENERAL TABLES. 



TABLE V] 


[.— Arguments of Aberration and Nutation; 


Mean Obliquity of the Ecliptic; Time 








from beginning of Fictitious year. 






For Washington Mean Noon of Jan. in common years, Jan. 1 in bissextile 


years. 




Arguments — 




Time from beginning of fictitious year. 










Mean ObMquity 








Year. 








of Ecliptic. 










I. 


II. 


in. 




In hours, &c. 
k 


In days. 
k' 


In years. 
k> 




d 


d 


d 


o / // 


h m s 


d 


y 


1750 


1.921 


2.0 


+1505.09 


23 28 17.44 


+ 5 31 58.0 


+0.231 


+0.00063 


1751 


1.679 


20 


1870.09 


16.98 


— 16 50.1 


—0.012 


—0.00003 


1752 B 


2.436 


2.0 


2236.09 


16.51 


+17 54 21.8 


+0.746 


+0.00204 


1753 


2.193 


2.1 


'2601.09 


16.05 


12 5 33.7 


0.504 


.00138 


1754 


1.950 


2.1 


2966.09 


15.58 


6 16 45.6 


0.26.2 


.00072 


1755 


1.707 


2.1 


+3331.09 


23 28 15.12 


27 57.6 


0.019 


.00005 


1756 B 


2.465 


2.1 


—3101.30 


14.65 


18 39 9.5 


0.777 


.00213 


1757 


2.222 


2.1 


2736.30 


14.19 


12 50 21.4 


0.ri35 


.00146 


175S 


1.979 


X5.1 


2371.30 


13.72 


7 1 33.3 


0.293. 


.00080 


1759 


1.736 


2.1 


2006.30 


13.26 


1 12 45.3 


0.051 


.00014 


1760 B 


2.493 


2.1 


1640.30 


23 28 12.80 


19 23 57.2 


0.808 


.00222 


J761 


2.251 


2.1 


1275.30 


12.34 


13 35 9.2 


0.566 


.00155 


1762 


2.008 


2.1 


910.30 


11.87 


7 46 21.1 


0.324 


.00089 


1763 


1.765 


2.1 


545.30 


11.41 


1 57 33.1 


0.082 


.00022 


1764 B 


2.522 


2.1 


— 179.30 


10.94 


20 8 45.1 


0.839 


.00230 


1765 


2.279 


2.1 


+ 185.70 


23 28 10.43 


14 19 57.1 


0.597 


.00164 


1766 


2.037 


2.1 


550.70 


10.01 


8 31 9.0 


0.355 


.00097 


1767 


1.794 


2.1 


915.70 


9.55 


2 42 21.0 


0.113 


.00031 


1768 B 


2.551 


2.1 


1281.70 


9.08 


20 53 33.0 


0.871 


.00238 


1769 


2.303 


2.1 


1646.70 


8.62 


15 4 45.0 


0.623 


.00172 


1770 


2.065 


2.1 


2011.70 


23 28 8.15 


9 15 57.0 


0.386 


.00106 


1771 


1.823 


2.1 


2376.70 


7.69 


3 27 9.0 


.0.144 


.00039 


1772 B 


2.580 


2.2 


2742.70 


7.22 


21 38 21.1 


0.902 


.00247 


1773 


2.337 


2.2 


+3107.70 


6.76 


15 49 33.1 


0.659 


.00181 


1774 


2.094 


2.2 


—3325.69 


6.29 


10 45.1 


0.417 


.00114 


1775 


1.851 


2.2 


.2960.69 


23 28 5.83 


4 11 57.2 


0.175 


.00048 


]776 B 


2.609 


2.2 


2594.69 


5.36 


22 23 9.2 


0.933 


.00255 


1777 


2.366 


2.2 


2229.69 


4.90 


16 34 21.2 


0.691 


.00189 


1778 


2.123 


2.2 


1864.69 


4.43 


10 45 33.3 


0.443 


.00123 


1779 


1.880 


2.2 


1499.69 


3.97 


4 56 45.4 


0.206 


.00057 


1780 B 


2.637 


2.2 


1133.69 


23 23 3.51 


23 7 57.4 


964 


.00284 


1781 


2.395 


2.2 


768.69 


3.05 


17 19 9.5 


0.722 


.00193 


1782 


2.152 


2.2 


403.69 


2.58 


11 30 21.6 


0.479 


.00131 


1783 


1.909 


2.2 


— 38.69 - 


2.12 


5 41 33.7 


0.237 


.00065 


1784 B 


2.668 


2.2 


+ 327.31 


1.65 


23 52 45.8 


0.995 


.00272 


1785 


2.423 


2.2 


692.31 


23 28 1.19 


18 3 57.8 


0.753 


.00208 


1786 


2.181 


2.2 


1057.31 


0.72 


12 15 9.9 


0.531 


.00140 


1787 


1.938 


2.2 


1422.31 


23 23 0.26 


6 26 22.1 


0.268 


.00074 


1788 B 


2.695 


2.2 


1788.31 


23 27 59.79 


24 37 34.2 


1.026 


.00281 


17S9 


2.452 


2.2 


2153.31 


59.33 


18 48 46.3 


0.784 


.00215 


1790 


2.209 


2.2 


2518.31 


23 27 58.86 


12 59 58.4 


0.542 


.00148 


1791 


1.987 


2.3 


2883.31 


58.40 


7 11 10.5 


0.299 


.00082 


1792 B 


2.724 


2.3 


+3249.31 


57.93 


25 22 22.7 


1.057 


.00290 


1793 


2.481 


2.3 


—3184.08 


57.47 


19 33 34.8 


0.815 


.00223 


1794 


2.238 


2.3 


2819.08 


57.00 


13 44 47.0 


0.573 


.00157 


1795 


1.995 


2.3 


2454.08 


23 27 56.54 


7 55 59.1 


0.331 


.00091 


]796 B 


2.753 


2.3 


2088.08 


56.07 


26 7 11.3 


1.088 


.00298 


1797 


2.510 


2.3 


1723.08 


55.61 


20 18 23.5 


0.846 


.00232 


1798 


2.267 


2.3 


1358.08 


55.14 


14 29 35.6 


0.604 


.00165 


1799 


2.024 


2.3 


— 993.03 


23 27 54.63 


+ 8 40 47.8 


+0.362 


+0.03099 



10 



GENERAL TABLES. 



TABLE YL— Arguments of Aberration and Nutation; Mean Obliquity of the Ecliptic; Time 
from beginning of Fictitious year. 

For "Washington Mean Noon of Jan. in common years, Jan. 1 in bissextile years. 



Year. 



J 800 
1801 

1802 
1803 
1804 B 

1805 
1806 

1807 
1808 B 
1809 

1810 
18U 
1812 B 
1813 
1814 

1815 
1816B 

1817 
1818 
1810 

I820B 

1821 
1822 
1823 
1824 B 

1825 
1826 

1827 
1828 B 
1829 

1830 
1831 
1832 B 
1833 
1834 

1835 
1830 B 

1837 
1838 
1839 

1840 B 
1841 
1842 
1843 
1844 B 

1845 
1840 
1847 
1848 B 
1849 



Arguments 



d 
1.781 

1.539 
1.296 
1.053 

1.810 

1.568 
1.325 

1.082 
1.839 
1.596 

1.354 
1.111 

1.888 
1.625 

1.382 

1.140 
1.697 
1.654 
1.411 

1.168 

1.926 

1.683 
1.440 
1.197 
1.955 

1.712 
1.409 
1.226 
1.984 
1.741 

1.408 
1.255 
2.012 
1.770 
1.527 

1.284 
2.041 
1.799 
1.556 
1.313 

2.070 
1.627 
1.585 

1 342 

2 099 

1.856 
1.614 
L371 

2.128 

3.885 



d 
2.3 
2.3 
2.3 
2.3 
2.3 

2.3 

2.3 
2.3 
2.3 
2.4 

2.4 
2.4 
2.4 
2.4 
2.4 

2.4 

2.4 
2.4 
2 4 
2.4 

2.4 
2.4 
2.4 
2.4 
2 A 

2.4 
2.4 

2.4 
2.5 
2.5 

2.5 
2.5 
2.5 
2.5 
2.5 

2.5 

2.5 
2.5 
2.5 



2.5 
2.5 
2.5 
2.5 
2.5 

2.5 
2.5 
2.6 
2.6 
2.6 



III. 



d 

— 628.08 

— 263.08 
-J- 101.93 

466.93 
832.93 

1 197.93 
1562.93 

1927.93 
2293.93 
2658.93 

3023.93 

-j-3388.93 

—3043.46 

2678.46 

2313.46 

1948.46 

1582.46 
1217.46 

852.46 

487.46 

— 121.46 
-1- 243.55 

608.55 

973.55 

1359.55 

1704.55 
2069.55, 
2434.55 
2800.55 
+3165.55 

—3267.84 

2 ( J02.84 
2536.84 
2171 84 
1806.84 

1441.84 

1075.84 
710.84 

— 345.84 
+ 19.17 

385.17 

750.17 

1115.17 

1480.17 

1846.17 

2211.17 

2576.17 

2941.17 

-1-3307.17 

— 3105.22 



Mean Obliquity of 
Ecliptic. 



23 27 54.22 
53.76 
53.29 

52.83 
52.36 



23 27 



51.90 
51.43 

50.97 

50.50 
50.04 



23 27 49.58 
49.12 

48.65 
48.19 

47.72 

23 27 47.26 
46.79 
46.33 
45.86 

45.40 

23 27 44.93 
44.46 
44.00 
43.54 
43.07 

23 27 42.61 
42.14 
41.68 
41.21 

40.75 

23 27 40.29 
39.83 
39.36 
38.90 

38.43 

23 27 37.97 
37.50 
37.04 
30.57 
36.11 



23 2/ 



35.64 

35. IS 
34.71 
34.25 
33.78 



23 27 33.32 
32.85 
32 39 
31.92 

23 27 31.46 



Time from beginning of fictitious year. 



In liours, &c. 
h 



h m s 
-j- 2 52 0.0 

— 2 56 47.8 

— 8 45 35.6 
—14 34 23.4 
+ 3 36 48.8 

— 2 11 59.0 

— 8 46.8 
—13 49 34.5 
+ 4 21 37.7 

— 1 27 10.1 

— 7 15 57.8 
—13 4 45.6 
+ 56 26.7 

— 42 21.1 

— 6 31 8.8 

—12 19 56.5 

+ 5 51 15.8 
+ 02 28. 1 

— 5 46 19.6 
—11 35 7.3 

+ 6 36 5.0 
+ 47 17.3 

— 5 1 30.4 
—10 50 18.1 
+ 7 20 54.2 

+ 1 32 6.6 

— 4 Hi 41.1 

— 10 5 28.7 
+ 85 43.6 
+ 2 16 56.0 

— 3 31 51.7 

— 9 20 39.3 
+ 8 50 33.1 

+ 3 1 45.5 

— 2 47 2.1 

— 8 35 49.8 
+ 9 35 22.6 
+ 3 46 35.0 

— 2 2 12.6 

— 7 51 0.1 

+10 20 12.3 
+ 4 31 24.7 

— 1 17 22.9 

— 7 6 10.4 
+11 5 2.0 

+ 5 16 14.5 

— 32 33.1 

— 6 2! 20.6 
+11 49 51.9 
+ 6 1 4.4 



In days. 
k' 



d 
+0.119 
—0.123 
—0.365 
—0.607 
+0. 151 

—0.092 
—0.334 
—0.576 
+0.182 
—0.061 

—0.303 
—0.545 
+0.213 
-0.029 
—0.272 

—0.514 

+0.244 
+0.002 
—0.241 
—0.483 

+0.275 
+0.033 
—0.209 
—0.452 
+0.306 

+0.064 
—0.178 
—0.420 
+0.337 
+0.095 

—0.147 
—0.389 
+0.368 
+0.126 
—0.116 

—0.358 
+0.400 
+0.J57 

—0.085 
—0.327 

+0.43! 
+0.188 

—0.054 
-0.296 
+0.462 

+0.220 
—0.023 
—0.265 
+0.493 
+0.251 



In years. 
k" 



+ 0.00033 

— .00033 

— .00100 

— .00166 
+ .00041 



+ 



— .00140 
+ .00007 
+ .00001 

— .00006 

— .00132 



+ 



+ 
+ 



+ 
+ 



— .00098 
+ .00109 
+ .00043 

— .00023 

— .00090 

+ 
+ 



+ -.00060 

— .0000(5 

— .(,0072 
-'- .00(35 
+0 .00009 



GENERAL TABLES. 



11 



TABLE VI 


,— Arguments of Aberration and Nutation? 


Mean Obliquity of tlie Eclipt 


ic; Time 








from beginning of Fictitious year. 








For Washington Mean Noon of Jan. in common 


years, Jan. 1 in bissextile 


years. 






Arguments — 




Time from beginning of fictitious 


year. 


Year. 








Mean Obliquity of 
Ecliptic. 


























I. 


II. 


in. 




In hours, &c. 
k 


In days. 
k' 


In 


years. 

k" 




d 


(1 


d 


o / // 


h m s 


d 


y 




1850 


1 .642 


2.6 


—2761.22 


23 27 31.00 


+ 12 16.8 


+0.009 


+ 0.00002 


1851 


1.400 


2.6 


2396.22 


30.54 


— 5 36 30.7 


—0.234 


— 


.00064 


1852B 


2,157 


2.6 


2030.22 


30.07 


+12 34 41.8 


+0.524 


+ 


.00144 


1853 


1.914 


2.6 


1665.22 


29.61 


+ 6 45 54.3 


+0.282 


+ 


.00077 


1854 


1.671 


2.6 


1300.22 


2U.14 


+ 57 6.7 


+0.040 


+ 


.00011 


1855 


1.429 


2.6 


935.22 


23 27 28.68 


— 4 51 40.7 


—0.203 





.00055 


1850 B 


2.186 


2.6 


569.22 


28.21 


+13 19 31.9 


+0.555 


+ 


.00152 


1857 


1.943 


2.6 


— 204.22 


27.75 


+ 7 30 44.4 


+0.313 


+ 


.00086 


1858 


1.700 


2.6 


-f 160.78 


27.28 


+ 1 41 56.9 


+0.071 


+ 


.00019 


1859 


1.457 


2.6 


525.78 


26.82 


— 4 6 50.6 


—0.171 




.00047 


1860 B 


2.215 


2.6 


891.78 


23 27 26.35 


+14 4 22.0 


+0.586 


+ 


.00161 


1861 


1.972 


2.6 


1256.78 


25.89 


+ 8 15 34.5 


+0.344 


+ 


.00094 


1862 


1.729 


26 


1621.78 


25.42 


+ 2 26 47.1 


+0.102 


+ 


.00028 


1863 


1.486 


2.6 


1986 78 


24.96 


— 3 22 0.4 


—0.140 




.00038 


1864 B 


2.244 


2.6 


2352.78 


24.49 


+14 49 12.2 


+0.618 


+ 


.00169 


1865 


2.001 


2.6 


2717.78 


23 27 24.03 


+90 24.8 


+0.375 


+ 


.00103 


1866 


1.758 


2 7 


+3082.78 


23.56 


+ 3 11 37 4 


+0.133 


+ 


.00036 


1867 


1515 


2.7 


—3350.61 


23.10 


— 2 37 10.1 


—0.109 




."0030 


1868 B 


2.273 


2.7 


2984.61 


22.63 


+15 34 2.5 


+0.649 


+ 


.00178 


1869 


2.030 


2.7 


2619.61 


22.17 


+ 9 45 15.1 


+0.406 


+ 


.00111 


1870 


1.787 


2.7 


2254.61 


23 27 21.71 


+ 3 56 27.7 


+0.164 


+ 


.00045 


1871 


1.544 


2.7 


18S9.61 


21.25 


— 1 52 19.7 


—0.078 




.00021 


1S72B 


2.301 


2.7 


1523.61 


20.78 


+16 18 53.0 


+0.680 


+ 


.00186 


1873 


2.059 


2.7 


1158.61 


20.32 


+10 30 5.6 


+0.438 


+ 


.00120 


1874 


1.816 


2.7 


793.61 


19.85 


+ 4 41 18.2 


+0.195 


+ 


.00054 


1875 


1.573 


2.7 


428.61 


23 27 19.39 


— 1 7 29.2 


—0.047 





.00013 


1876 B 


2.330 


2.7 


— 62.61 


18.92 


+17 3 43.5 


+0.711 


+ 


.00195 


1877 


2 088 


2.7 


+ 302.40 


18.46 


+11 14 56.1 


+0.469 


+ 


.00128 


1878 


3.845 


2.7 


667.40 


17.99 


+ 5 26 8.8 


+0.226 


+ 


.00062 


1879 


1.602 


2.7 


1032.40 


17.53 


— 22 38.6 


—0.016 




.00004 


1880 B 


2,359 


2.7 


1398.40 


23 27 17.06 


+17 48 34.1 


+0.742 


+ 


.00203 


1881 


2.117 


2.7 


1763.40 


16.60 


+11 59 46.7 


+0.500 


+ 


.00137 


1882 


1.874 


2.7 


2128.40 


16.13 


+ 6 10 59.4 


+0.258 


+ 


.00071 


1883 


1.631 


2.7 


2493.40 


15.67 


+ 22 12.1 


+0.015 


+ 


.00004 


1884 B 


2.388 


2.7 


2859.40 


15.20 


+18 33 24.8 


+0.773 


+ 


.00212 


1885 


2.145 


2.8 


+3224.40 


23 27 14.74 


+12 44 37.5 


+0.531 


+ 


.00145 


1886 


1.903 


2.8 


—3208.99 


14.27 


+ 6 55 50.2 


+0.289 


+ 


.00079 


1887 


1.660 


2.8 


2843.99 


13.81 


+ 1 7 2.9 


+0.047 


+ 


.00013 


1888 B 


2.417 


2.8 


2477.99 


13.34 


+ 19 18 15.6 


+0.804 


+ 


.00220 


1889 


2.174 


2.8 


2112.99 


12.S8 


+13 29 28.3 


+0.562 


+ 


.00154 


1890 


1.931 


2.8 


1747.99 


23 27 12.42 


+ 7 40 41.0 


+0.320 


+ 


.00088 


1891 


1.689 


2.8 


1382.99 


11.96 


+ 1 51 53.7 


+0.078 


+ 


.00022 


1892B 


2.446 


2.8 


1016.99 


11.49 


+20 3 6.5 


+0.835 


+ 


.00229 


1893 


2.203 


2.8 


651.99 


11.03 


+14 14 19.2 


+0.593 


+ 


.00163 


1894 


1.960 


2.8 


— 286.99 


10.56 


+ 8 25 32.0 


+0.351 


+ 


.00096 


1895 


1.718 


2.8 


+ 78.00 


23 27 10.10 


+ 2 36 44.7 


+0.109 


+ 


.00030 


1896 B 


2.475 


2.8 


444.00 


9.63 


+20 47 57.5 


+0.867 


+ 


.00237 


3897 


2 232 


2.8 


809.00 


9.17 


+14 59 10.2 


+0.624 


+ 


.00171 


' 1898 


1.989 


2.8 


1174.00 


8.70 


+ 9 10 23.0 


+0.382 


+ 


.00105 


■ 1899 


1.747 


2.8 


1539.00 


8.24 


+ 3 21 35.8 


+0.140 


+ 


.00033 


j 1900 

jj 


1.504 


28 


+1904.00 


23 27 7.77 


— 2 27 11.5 


—0.102 


— 0.00028 



12 



GENERAL TABLES. 



! 




TABLE VII.-1850 










Sect 


slav TmfTjnnlltv of Ar«\ Ti . 


. . Arg. ==l Arg. II + d' + day of 


year. 




Precession for each 10 days : . 


. . . Arg. = Number of days. 




Aberration of the Sun's Longitude : . i 










Solar Nutation : 


> Arg. = Ai 


g. I + d' + Sec. Ineq. + day of year. 












Solar Nutation. 






Days. 


Sec. Ineq. of 
Arg. 1. 


Precession. 


Aberration 
of the Sun 




























in Long. 


In Long. 


Diff. for 
10 d. 


In R. As'n. 


Diff. for 
10 d. 


Variation of 
Obliquity. 


Diff. for 
10 d. 


1 


.000,01 


0.000 


ii 

—20.79 


4-0.37 


+.44 


+0.022 


+.027 


—0.54 


+.05 


■ 10 


,00 


1.376 


.78 


0.79 


.38 


.048 


23 


.46 


.10 


20 


,02 


2.752 


.77 


1.12 


.27 


.069 


16 


.33 


.15 


30 


,05 


4.128 


.75 


1.32 


+.12 


.081 


+ 7 


—0.16 


.18 


40 


,10 


5.503 


.71 




—.04 


.083 


— 3 


+0.02 


.17 


50 


.000,16 


6.879 


—20.67 


+1.23 


.19 


+0.076 


12 


+0.19 


.15 


60 


,23 


8.255 


.62 


0.97 


.31 


.060 


20 


.33 


.11 


1 70 


,32 


9.631 


.57 


0.61 


.39 


.037 


25 


.42 


+.06 


80 


,41 


11.007 


.51 


+0.19 


.42 


+0.011 


26 


.45 


.00 


90 


,51 


12.383 


.45 


—0.24 


.41 


—0.015 


25 


.41 


—.07 


100 


.000,61 


13.758 


—20.39 


0.63 


.35 


—0.039 


21 


+0.31 


.12 


110 


,71 


15.134 


.34 


0.93 


.24 


.057 


15 


+0.16 


.16 


320 


,81 


16.510 


.28 


1.11 


—.11 


.068 


— 6 


—0.02 


.19 


130 


,90 


17.886 


.24 


1.15 


+.03 


.070 


+ 2 


.22 


.20 


140 


,98 


19.262 


.19 


1.05 


.16 


.064 


10 


.41 


.18 


150 


.001,04 


20.638 


—20.16 


—0.83 


.27 


—0.051 


17 


— 0.57 


.14 


160 


1,10 


22.013 


.13 


0.51 


.35 


.031 


21 


.69 


.09 


170 


1,14 


23.389 


.11 


—0.13 


.39 


—0.008 


23 


.75 


—.03 


180 


1,16 


24.765 


.10 


+0.27 


.38' 


+0.016 


23 


.76 


+.02 


190 


1,17 


26.141 


.10 


0.63 


.33 


.039 


20 


.71 


.08 


200 


.001,16 


27.517 


—20.11 


+0.93 


.25 


+0.057 


15 


—0.60 


.12 


' 210 


1.14 


28.893 


.13 


1.12 


+.13 


.068 


+ 8 


.46 


.15 


• 220 


1,C9 


30.268- 


AQ 


1.18 


—.01 


.072 





.29 


.17 


. 230 


1,04 


31.644 


.20 


1.10 


.14 


.067 


— 8 


—0.12 


.16 


; 240 


0,97 


33.020 


.24 


0.89 


.26 


.055 


16 


+0.03 


.13 


250 


.000,89 


34 396 


—20.29 


+0.57 


.36 


+0.035 


22 


+0.14 


.08 


260 


,80 


35.772 


.34 


+0.17 


.41 


+0.010 


26 


.20 


+.03 


270 


,70 


37.148 


.40 


—0.26 


.42 


—0 016 


26 


.20 


—.03 


280 


,60 


38 524 


.46 


0.68 


.39 


.042 


23 


.14 


.09 


290 


,50 


39.899 


.52 


1.04 


.30 


.063 


18 


+0.02 


.14 


300 


.000,40 


41.275 


—20.58 


—1.28 


.18 


—0.078 


11 


—0.15 


.18 


310 


,31 


42.651 


.63 


1.38 


— 03 


.085 


2 


.35 


.20 


320 


,23 


44.027 


.68 


1.33 


+.13 


.081 


+ 6 


.56 


.19 


330 


,15 


45.403 


.72 


1.12 


.27 


.069 


16 


.74 


.16 


340 


,09 


46.779 


.75 


0.78 


.38 


.048 


23 


.89 


.12 


350 


.000,05 


48.154 


—20.77 


—0.35 


.45 


—0.022 


27 


—0.99 


—.06 


360 


,02 


49.530 


.79 


+0.12 


.47 


+0.007 


28 


1.01 


+.01 


370 


.000,00 


50.906 


—20.79 


+0.58 


+.43 


+0.035 


+.026 


—0.97 


+.07 


The 


i secular Inequality of Arg. I is tc 


> be multiplied by (t ■ 


- 1850). 








The 


; variation of the mean Obliquity, 


— 0.4645 r, is comb 


ine.l with th 


e nutatim 


l. 


.... 



GENERAL TABLES. 



13 



TABLE VIII.— lunar Nutation 


.—1850.0 


TABLE IX.— Coefficients 


and Auxiliaries 


Arg 


= Arg. Ill -f- d' + day of year — 


-6798.39/ 




for computing A 


, B and E 




Days. 






Lunar Nutation. 






Year. 


For A ' 


Fo 


v D 
























la Long. 


Diff. for 
100 d. 


In R. A. 


Diff. for 
100 d. 


Of Obli- 
quity. 


Diff.foi 
100 d. 




Coef. of 
sin ft 


K 


Coef. of 
cos ft 


K'. 




„ 


// 


s 


. 


! - 


„ 






o / 


// 


O 1 





-fo.oo 


-fl.55 


+0.000 


+.095 


+9.13 


—.00 


1750 


—.34106 


83 45 


—9. 2226 


278 37 


100 


1.55 


1.55 


0.095 


94 


9.10 


.08 


1760 


109 


83 38 


27 


278 '48 


200 


3.10 


1.53 


0.189 


94 


8.99 


.15 


1770 


112 


83 31 


28 


278 58 


300 


4.61 


1.50 


0.282 


92 


8.80 


.23 


1780 


115 


83 24 


29 


279 9 


400 


6.09 


1.46 


0.373 


89 


8.53 


.30 


1790 


118 


83 17 


30 


279 19 


500 


7.53 


1.41 


0.460 


86 


8.20 


.37 


1800 


221 


83 10 


-9.2231 


279 29 


600 


8.90 


1.34 


0.544 


82 


7.80 


.43 


1810 


224 


83 2 


32 


279 40 


700 


10 20 


1.26 


0.624 


77 


7.34 


.50 


1820 


227 


82 55 


33 


279 50 


800 


11.42 


1.17 


0.698 


72 


6.81 


.56 


1830 


230 


82 48 


33 


280 


9C0 


12.54 


1.08 


0.767 


6Q 


6.22 


.62 


1840 


233 


82 41 


34 


280 11 


1000 


13 57 


0.97 


0.830 


60 


5.58 


.67 


1850 


236 


82 34 


—9. 2235 


280 21 


1100 


14.48 


0.85 


0.886 


52 


4.89 


.71 


1860 


239 


82 27 


38 


280 31 


1200 


15.27 


0.74 


0.934 


45 


4.16 


.75 


1870 


242 


82 19 


37 


280 42 


1300 


15.95 


0.61 


0.975 


37 


3.40 


.78 


1880 


246 


82 12 


38 


280 52 


1400 


10.48 


0.47 


1.008 


29 


2.00 


.81 


1890 


249 


82 4 


39 


281 3 


1500 


16.88 


0.33 


1.033 


20 


1.78 


.83 


J 900 


— . 34252 


81 57 


-9. 2240 


281 13 


1G00 


17.14 


0.19 


1.048 


11 


0.94 


.84 












1700 


17.25 


+0.04 
—0.11 


1.055 


+ 2 

— 7 


+0.09 

—0.77 


.85 
.85 












1800 


17.21* 


1.053 




Coef. of 


Coef. of 


Coef. of 


Coef. of 


1900 
2000 


17.03 
16.70 


0.26 
0.41 


1.041 
1.021 


16 
25 


1.62 
2.45 


.84 
.83 




sin 2 ft 


sin (0 + K) 


cos 2 ft 


cos(OH-K') 






n 


.. . J 

- ! 


2100 


16.22 


0.55 


0.992 


34 


3.27 


.81 


1750 




+. 00296 


+0. 0897 


— 0. 0093 


2200 


15.60 


0.69 


0.954 


42 


4.06 


.78 


1800 


+. 00410 


295 


96 


93 


2300 


14.85 


0.82 


0.908 


50 


4.82 


.74 


1850 




294 


96 


93 


2400 


13.96 


0.95 


0.854 


58 


5.54 


.70 


1900 




293 


95 


92 


2500 
2600 


12.95 
11.82 


1.07 
1.18 


0.792 
0.723 


66 
73 


6.21 

6.83 


.65 

.59 










: 








2700 


10.59 


1.28 


0.647 


79 


7.39 


.53 




Coef. of 
sin 2© 


Coef. of 
sin 2 d 


Coef. of 
cos 2 © 


Coef. of 
cos 2 Q 


2800 


9.26 


1.38 


0.566 


84 


7.89 


.46 












2900 


7.84 


1.45 


0.480 


88 


8.31 


.39 








• // 


// 


3000 


6.36 


1.51 


0.389 


92 


8.67 


.32 


1750 

1800 


— . 02519 


— . 00405 


— 0. 5510 

09 


— 0. 0886 
86 


3100 


4.82 


1.57 


0.295 


96 


8.95 


.24 


1850 
1900 






08 
06 


85 
85 


3200 


3.23 


1.60 


0.198 


98 


9.15 


.16 






3300 


+1.62 


1.62 


+0.099 


99 


9.27 


.08 






3400 
3500 


—0.01 

1.64 


1.63 
1.63 


—0.001 
0.100 


.100 
.099 


9.31 
9.27 


—.00 
+.08 














For E 




For^ 


3600 
3700 


3.26 

4.84 


1.60 
1.57 


0.199 

0.296 


98 
96 


9.15 

8.95 


.16 
.24 












Coef. of 


Coef. of 


Coef. of 


Coef. of 1 


3800 
3900 


6.39 

—7.88 


1.52 
—1.45 


0.391 

—0.482 


92 

—.088 


8.66 


.32 




«laQ 


sin 2 ft 


sin 2 


sm(d-T') 


—8.30 


+.39 


1750 


— 0. 0553 


+0. 0015 


— 0. 0C40 


















Wl 


ten the I 


Lrg. is m 


>gative tt 


e signo 


f the nu 


tation 


1800 


518 


15 


37 


+.C0135 


in L< 


Dng. aix 


1 R. A. 


must be 


changer 


1; the s 


ign of 


1850 


483 


14 


35 




the n 

1 


utation 


of the C 


bliquity 


remains 


the sam 


e. 


1900 


449 


14 


32 





* The last terra is used when Arg. > 3900. 



14 








GENERAL TABLES. 
















TABLE X.— The 


Quantities A© and B©.— 1850.0. 














A© — 


0.02519 sin 2 + 0.00294 sin (0 + 82° 34'). 














B© = - 


0".5508 cos 2 — 0".0093 cos (© + 280° 21'). 














Arg-. .= Arg. I -f- d' + Inequal. + day of year. 










Arg. 


A o 


B Q 


Arg. 


A o 


* 


Arg. 


A o 


*e 


Arg. 

• 


A o 


B o 









-f- .00726 


+o'.5364 55 


+ .02223 


— 0'.3383 


110 


— .01845 


—0/3034 


165 


— .00644 


+0'.5183 






1 


.00817 


.5304 56 


.02171 


.3538 


111 


.01892 


.2376 


165 


.00567 


.5233 






2 


.00907 


.52381 57 


.02114 


.3636 


112 


.01937 


.2714 167 


.00491 


.5277 






3 


.00995 


.5165 58 


.02056 


.3827 
.3965 


113 


.01979 


.2549 163 


.00414 


.5315 






4 


.01082 


.5085 59 


.01996 


114 


.02018 


.2382 169 


.00336 


.5346 






5 


.01168 


.4998 60 


.01934 


.4096 

azu 


115 


.02055 


.2212 170 


.00258 


.5372 






6 


.01253 


.4906 1 61 


.01869 


116 


.02090 


.2040 171 


.00179 


.5392 






7 


.01336 


.4808 62 


.01.802 


.4346 


117 


.02121 


.18*66 1 172 


.00100 


.5407 






8 


.01417 


.4703 63 


.01735 


.4463 


118 


.02149 


.1689 173 


— .00021 


.5415 






9 


.01496 


.4592 J 64 


.01663 


.4574 


119 


.02176 


.1511 174 


+ .00058 


.5417 






10 


.01574 


.4477 65 


.01592 


.4630 


120 


.02199 


.1331 175 


.00137 


.5413 






11 


.01649 


.4355 66 


.01518 


.4779 


121 


.02220 


.1149 176 


.00216 


.5402 






12 


.01724 


.4228 67 


.01442 


.4873 


122 


.02237 


.0967 177 


.00294 


.5336 






13 


.01795 


.4096 68 


.01365 


.4961 


123 


.02253 


.0784 178 


.00373 


.5362 






14 


.01863 


.3958 


69 


.01287 


.5043 


124 


.02266 


.0600 179 


.00451 


.5335 






15 


.01931 


.3316 


70 


.01209 


.5118 


125 


.02276 


.0415 180 


.00528 


.5300 






16 


.01996 


.3669 


71 


.01128 


.5188 


126 


.02282 


.0230 181 


.00604 


.5259 






17 


.02058 


.3517 


72 


.01047 


.5251 


127 


.02286 


—0.00451 182 


.00680 


.5213 






18 


.02118 


.3362 


73 


.00964 


.5307 


128 


.02287 


+0 .0140 1 183 


.00756 


.5160 






19 


.02175 


.3202 


74 


.00880 


.5357 


129 


.02286 


.0324 184 


.00830 


.5103 






20 


.02229 


.3038 75 


.00797 


.5401 


130 


.02282 


.0509 


185 


.00904 


.5039 






21 


.02280 


.2870 


76 


.00712 


.5438 


131 


.02274 


.0692 


185 


.00976 


.4970 






22 


.02330 


.2699 


77 


.00627 


.5468 


132 


.02264 


.0874 


187 


.01048 


.4895 






23 


.02375 


.2525 


78 


.00541 


.5493 


133 


.02252 


.1056 183 


.01118 


.4815 






24 


.02419 


.2346 


79 


.00454 


.5511 


! 134 


.02236 


.1237 189 


.01188 


.4729 






25 


.02459 


.2166 


80 


.00368 


.5522 


135 


.02217 


.1414 


190 


.01256 


.4637 






26 


.02497 


.1983 


81 


.00282 


.5525 


136 


.02196 


.1591 


191 


.01321 


.4541 






27 


.02530 


.1798 


82 


.00195 


.5522 


137 


.02173 


.1765 


192 


.01386 


.4440 






28 


.02562 


.1610 


83 


.00108 


.5513 


138 


.02147 


.1933 


193 


.01450 


.4331 






29 


.02590 


.1421 84 


+ .00022 


.5497 


139 


.02117 


.2108 194 


.01511 


.4222 






30 


.02615 


.1229 


85 


— .00064 


.5475 


140 


.02087 


.2277 195 


.01571 


.4106 






31 


.02636 


.1036 


86 


.00149 


.5446 


141 


.02053 


.2442 196 


.01630 


.3936 






32 


.026..5 


.0844 


87 


.00235 


.5411 


142 


.02017 


' .2504 197 


.01685 


.3851 






33 


.02671 


.0648 


88 


.00319 


.5370 


143 


.05978 


.2763 198 


.01739 


.3732 






34 


.02683 


0452 


89 


.00103 


.5322 


144 


.01938 


.2919 199 


.01792 


.3599 






35 


.02692 


0257 


90 


.00486 


.5267 


145 


.01895 


.307lj 200 


.01843 


3460 






36 


.02698 


+0.0061 


91 


.00568 


.5207 


146 


.01849 


.3220 20 1 


.01890 


.3310 






37 


.02700 


-J) 0135 


92 
93 


.001)50 


.5141 


147 


.01801 


.3365 202 


.01936 


.3174 






33 


.02700 


,0331 


.00730 


.5068 


148 


.01752 


.3506 203 


.01979 


.3024 






39 


.02696 


.0526 


94 


.00808 


.4991 


149 


.01700 


.3544 204 


.02021 


.2872 






49 


.02689 


.0721 


95 


.00386 


.4905 


150 


.01646 


.3776 205 


.02060 


.2716 






41 


.02679 


.0914 


96 


.00963 


.4316 


151 


.01590 


.3905 206 


.02097 


.2557 






42 


.02666 


.1106 


97 


.01038 


.4720 


152 


.01532 


.4029 


207 


.02131 


.2395 






43. 


.02649 


.1298 


98 


.01111 


.4618 


153 


.01472 


.4148 


203 


.02162 


.2230 






41 


.02630 


.1186 


99 


.01183 


.4512 


154 


.01410 


.4254 


209 


.02191 


.2062 






45 


.02607 


.1674 


100 


.01253 


.4400 


155 


.01349 


.4374 


210 
211 


.02219 


.1893 






46 


.02583 


.1859 


101 


.01321 


.4284 


156 


.01234 


.41/9 


.02243 


.1721 






47 


.02553 


.204 1 


102 


.01388 


.4163 


157 


.01219 


.458 J | 212 


.02264 


.1517 






48 


.02521 


.2221 


103 


.01452 


.4036 


158 


.01 151 


.4374 213 


.02284 


.1372 






49 


.02487 


.2399 


104 


.01514 


.3906 


159 


.01081 


.4763 


214 


.02301 


.1196 






50 


.02451 


.2572 


105 


.01575 


.3771 


160 


.01010 


.4848 


215 


.02314 


.1016 






51 


.02410 


.2743 


106 


.01635 


.3631 


1 1G1 


.00939 


.4926 


216 


.02325 


.0836 






52 


.02367 


.2910 


107 


.01690 


.3487 


162 


.00357 


.4999 


217 


.02333 


.0655 






53 


.02322 


.3073 


108 


.01744 


.3340 


\m 


.00793 


.5066 


218 


.023,59 


.0474 






54 


.02274 


.3233 


: loo 


.01796 


.3188 


164 


.00719 


.5127 


219 


.02342 


.0291 






55 


+ .02223 


—0 .3333 


110 


— .01845 


—0 .3034 


165 


— .00644 


+0.5183 


220 


+ .02342 


+0 .0108 











GENERAL TABLES. 






15 






TABLE X.-The 


Quantities Aq and B 


Q.— 1850.0. 










A =- 


0.02519 sin 2 0+ 0.00294 sin (© + 82° 34'). 










B =- 


0\5508 cos 2 — 0".0093 cos (0 + 280° 21'). 










Arg. = Arg. I + d' 


+ Inequal. + day of year. 






Arg. 


A o 


B o 


Arg. 


A o 


B o 


Arg. 


A o 


"o 


Asg. 


A o 


B o 


220 


+ .02342 


+0*0108 


259 


+ .00423 


— (K5283 


298 


— .02465 


— 5640 


337 


— .01784 


+04259 


221 


.02339 


— .0075 


260 


.00339 


.5330 


299 


.02505 


.2470 


338 


.01710 


.4334 


222 


.02335 


.0258 


261 


.00255 


.5372 


300 


.02542 


.2297 


339 


.01635 


.4503 


223 


.02326 


.0441 


262 


.00169 


.5407 


301 


.02575 


.2121 


340 


.01558 


.4617 


224 


.02314 


.0624 


263 


+ .00083 


.5437 302 


.02606 


.1942 


341 


.01479 


.4726 


225 


.02300 


.0807 


264 


— .00003 


.5460 303 


.02635 


.1761 


342 


.01399 


.4829 


226 


.02283 


.0986 


265 


.00089 


.5477 304 


.02661 


.1577 


343 


.01316 


.4925 


227 


.02263 


.1167 


266 


.00176 


.5487 305 


.02683 


.1391 


344 


.01232 


.5016 


223 


.02242 


.1346 


267 


.00263 


.5490 306 


.02703 


.1204 


345 


.01146 


.5101 


229 


.02216 


.1523 


268 


.00350 


.5488 | 307 


.02719 


.1015 


346 


.01060 


.5179 


230 


.02188 


.1699 


269 


.00437 


.5479 


303 


.02732 


.0824 347 


.00971 


.5250 


231 


.02158 


.1873 


270 


.00522 


.5463 


309 


.02742 


.0633 1 348 


.00882 


.5315 


232 


.02125 


.2045 


271 


.00609 


.5441 


310 


.02749 


.0440 


349 


.00792 


.5374 


233 


.02089 


.2215 


272 


.00695 


.5413 


311 


.02752 


.0246 


350 


.00700 


.5426 


1 234 


.02052 


.2382 


273 


.00780 


.5379 | 312 


.02753 


— .0052 


351 


.00609 


.5472 


235 


.02012 


.2547 


274 


.00864 


.5337 


313 


.02750 


+0 .0142 


352 


.00515 


. .5510 


236 


.01968 


.2709 


275 


.00948 


.5290 


314 


.02745 


.0336 


353 


.00422 


.5542 


: 237 


.01923 


.2868 


276 


.01031 


.5236 


315 


.02736 


.0530 


354 


.00328 


.5567 


< 238 


.01875 


.3024 


277 


.01113 


.5176 


316 


.02723 


.0724 355 


.00234 


.5585 


239 


.01825 


.317? 


278 


.01195 


.5110 


317 


.02707 


.0916 356 


.00140 


.5595 


1 240 


.01772 


.3326 


279 


.01275 


.5037 


318 


.02687 


.1107 357 


— .00045 


.5599 


241 


.01718 


.3471 280 


.01354 


.4959 


319 


.02668 


.1297 358 


+ .00050 


.5595 


242 


.01661 


.36131 281 


.01432 


.4874 


320 


.02643 


.1487 359 


.00145 


.5585 


243 


.01601 


.3750 1 232 


.01508 


.4784 


321 


.02615 


.1674 360 


.00239 


.5568 


244 


.01540 


.3384 


283 


.01583 


.4688 


322 


.02584 


.1860 j 361 


.00333 


.5544 


245 


.01478 


.4012 


284 


.01656 


.4586 


323 


.02550 


.2043 362 


.00426 


.5512 


246 


.01413 


.4137 


285 


.01727 


.4480 


324 


.02513 


.22231 363 


.00521 


.5475 


247 


.01345 


.4256 


286 


.01797 


.4367 


325 


.02474 


.24021 364 


.00613 


.5430 


! 248 


.01276 


.4371 


287 


.01864 


.4248 326 


.02431 


.2577 1 365 


.00704 


.5378 


. 249 


.01206 


.4482 


288 


.01931 


.4125 327 


.02386 


.2750 


366 


.00795 


.5320 


1 250 


.01133 


.4586 


289 


.01995 


.3997 1 328 


.02337 


.2918 


367 


.00885 


.5255 


! 251 


.01060 


.4686 


290 


.02056 


.3864 


329 


.02286 


.3084 


368 


.00974 


.5183 


, 252 


.00985 


.4781 


291 


.02115 


.3725 


330 


.02232 


.3246 


369 


.01061 


.5105 


| 253 


'.00908 


.4869 


292 


.02173 


.3583 


331 


.02175 


.3404 


370 


.01148 


.5019 


254 


.00830 


.4954 


293 


.02228 


.3436 


332 


.02117 


.3557 


371 


.01233 


.4929 


255 


.00751 


.5031 


294 


.02281 


.3284 


333 


.02055 


.3707 


372 


.01316 


.4832 


1 256 


.00671 


.5102 


295 


.02331 


.3130 


334 


.01990 


.3853 


373 


.01398 


.4729 


,'■ 257 


.00589 


.5163 


296 


.02378 


.2970 


335 


.01923 


.3993 


374 


+ .01477 


+0 .4619 


i 258 


.00506 


.5227 


297 


.02423 


.2806 


336 


.01855 


.4128 






l| 259 


+ .00423 


—0.5283 298 


— .02465 


— .2640 


337 


— .01784 


+0 .4259 






1 








TABLE XI. 










1 

\; Seci 


ilar Varia 


tion of Aq and 


BQ.tobe 


multiplied by — 


-1850 
100 ' 


Argument the s£ 


Line as for 


Table X. 


Arg. 


sa q 


JBq JArg. 


* A o 


* B o 


Arg. 


<$A 


6B Q 


Arg. 


<JA Q 


<JB Q 





—.00005 


—0.0005 | 100 


—.00001 


0.0000 


200 


+.00007 


+-0.0001 


300 


—.00001 


+0.0003 


10 


7 


5 


110 








210 


7 


2 


310 


2 


+0.0001 


f 20 


7 


4 


120 


+.00002 


220 
—0.0001 230 


6 


3 


320 


3 





30 


6 


3 


130 


3 


6 


4 


330 


4 


—0.0002 


40 


6 


3 


140 


4 


1 


240 


5 


5 


340 


5 


3 


50 


5 


o 


150 


5 


2 


250 


4 


5 


350 


6 


4 


1 co 


5 


— o.oooi 


160 


5 


2 


260 


3 


6 


360 


6 


5 


70 


4 





170 


6 


2 


270 


3 


6 


370 


—.00006 


—0.0005 


80 


3 





180 


6 


-0.0001 


280 


+.00001 


5 








90 


—.00002 


+0.0001 


190 


+.00007 


0.0000 j 290 


.00000 


+0.0004 








; 

























16 






GENERAL TABLES. 












TABLE XII.— The Quantities 


A^ and B 


jj.-1850.fl 


. 






Aq = — 0.34236 sin & + 0.00410 sin 2 &. S^ = — 9".22355 cos ft + 0".08955 cos?&. 








Arg. 


= Arg. Ill + d' + day 


of year— 6798.39.* 













i 


100 


200 


300 






A Q 


■n | 


A Q 


B tt 


A a 


B Q 


• 

A a 


B a 







+.00000 


—9.1340 


+.03085 


—9.0962 


+.06145 


// 

—8.9830 


+.09156 


—8.7952 




1 


00031 


1340 


03J16 


(.954 


06175 


9815 1 


09186 


7929 




2 


00062 


1340 1 


03147 


0947 


06206 


9800 


09216 


7907 




3 


00092 


1339 


03177 


0939 


06236 


9785 


09245 


7884 




4 


00123 


1339 i 


03208 


0931 


06267 


9769 


09275 


7862 




5 


00154 


1339 


03239 


0923 


062S7 


9754 


09305 


7839 




6 


0)185 


1339 


03270 


0915 


06327 


9738 


09335 


7816 




7 


00216 


1338 


03300 


0907 


06358 


9723 


09365 


7793 




8 


00247 


1338 


03331 


0899 


06388 


9707 


09394 


7770 




9 


00278 


1337 


03361 


0890 


W3419 


9692 


09424 


7747 




10 


0r*309 


1336 


03392 


0882 


06449 


9676 


09454 


7724 




11 


00340 


1335 


03423 


0874 


06479 


9660 


09484 


'7701 




12 


0<>371 


1334 


03454 


0865 


06509 


9644 


09513 


7677 




J3 


00401 


1333 


03484 


0857 


06540 


9628 


0^9543 


7654 




14 


00432 


1332 


03515 


0848 


06570 


9612 


09572 


7630 




15 


00463 


1331 


03546 


0840 


06600 


9596 


09602 


7607 




16 


00494 


133(i 


03577 


0831 


06630 


9580 


09632 


7583 




17 


00525 


' 1329 


03607 


0823 


06661 


9563 


09661 


7560 




18 


00556 


1328 


03638 


0814 


06691 


9547 


0/9691 


7536 




19 


00587 


1326 


03668 


0505 


06722 


9530 


09720 


7512 




20 


00618 


1325 


03699 


0796 


06752 


9514 


09750 


7488 




21 


00649 


1324 


03730 


(-787 


06782 


9497 


09780 


7464 




22 


00680 


1322 


03761 


0778 


06S12 


9481 


098i '9 


744C 




23 


0071.0 


1321 


03791 


0769 


06843 


9464 


09839 


7416 




'24 


00741 


1319 


03822 


0759 


06873 


9447 


09868 


7392 




25 


00772 


1317 


03853 


0750 


06903 


9430 


09898 


7368 




26 


OC803 


1315 


03884 


0740 


06933 


9413 


09928 


7344 




27 


00834 


1313 


03914 


0731 


06963 


9396 


09957 


7319 




28 


00864 


1311 


03945 


0721 


06994 


9379 


09987 


7295 




29 


00895 


1309 


03975 


0712 


07024 


9361 


10016 


7270 




30 


00926 


1307 


04006 


0702 


07054 


9344 


1C046 


7246 




31 


00957 


1305 


04037 


0692 


07084 


9326 


10d76 


7221 




32 


00988 


1303 


04068 


0682 


07114 


9309 


10105 


7197 




33 


01M9 


13)0 


04098 


0672 


07145 


9291 


10135 


7172 




34 


01050 


1298 


04129 


0662 


071.75 


9274 


10164 


7147 




35 


01081 


1295 


04160 


0652 


07205 


9256 


1194 


7122 




36 


01112 


1292 


04191 


0642 


07235 


9238 


10224 


7o97 




37 


(•1143 


1290 


04221 


0631 


07265 


9221 


10253 


71-72 




38 


01173 


1287 


04252 


0021 


07296 


9203 


10283 


7047 




39 


01204 


1284 


04282 


0610 


07326 


9185 


10312 


7021 




40 


01235 


1281 


04313 


0600 


07356 


9167 


10342 


6996 




41 


01266 


1278 


04344 


0589 


07386 


9149 


1 1<371 


6970 




42 


01297 


1275 


04375 


0579 


07416 


9131 


10401 


6945 




43 


01328 


1272 


04405 


0568 


07447 


9113 


10430 


6919 




44 


01359 


1268 


04436 


0557 


07477 


9094 


10460 


6894 ' 




45 


01390 


1265 


04467 


0546 


07507 


9076 


10489 


6868 




46 


01421 


1261 


04498 


0535 


07537 


9057 


10518 


(-.842 




47 


01452 


1258 


04528 


0524 


07567 


9039 


1<:548 


68 i 6 




48 


01482 


1254 


04559 


0513 


07598 


9020 


10577 


6791) 




49 


(.1513 


1250 


04589 


0501 


07628 


9002 


10607 


6764 




50 


+.01544 


—9 1246 


+.04620 


—9.0490 


+.07058 


—8,8983 


+.10636 


—8.6738 



Tue lust term is used when the Argument excueus 340J. Whcu the Argument is ne< 
reversed, but the sign of B^ remains the same. 



itive the sign of Aq must be 



GENERAL TABLES. 



17 







TABLE XII.-The 


Quantities A t j and B 


iV ~1850.0 










Argument = Arg. Ill - J- d' + day of year — 


d 

6798.39. 











100 


200 


300 




A Q 


' B Q 


A Q 


\\ 


A a 


hi 


*u 


B a 






II 




„ 




a 




a 


50 


+.01544 


—9.1246 


+.01620 


—9.0490 


+.07658 


—8.8983 


+.10636 


—6 6738 


51 


01575 


1242 


04651 


047m 


07688 


8964 


10665 


6712 


52 


01606 


1238 


04681 


0407 


07718 


8945 


10695 


6685 


53 


01636 


1234 


04712 


0455 


07749 


8926 


10724 


6t559 


54 


01667 


1230 


04742 


0444 


07779 


8907 


10754 


6632 


55 


01698 


1226 


04773 


0432 


07809 


8888 


10783 


6605 


56 


01729 


1222 


04804 


0420 


07839 


8869 


10812 


6579 


57 


01760 


1218 


04834 


0408 


07869 


8849 


10842 


6553 


58 


01 791 


1213 


04865 


0396 


07899 


8830 


10871 


6526 


59 


01822 


1209 


04895 


0384 


07929 


88 L0 


10901 


65.0 


60 


01853 


1204 


04926 


0372 


07959 


8791 


10930 


6473 


61 


01884 


1199 


04957 


0360 


07989 


8771 


10959 


6446 


62 


01915 


1195 


04987 


0348 


08019 


8752 


10988 


6419 


63 


01945 


1190 


0501* 


0336 


08049 


8732 


11 18 


6392 


64 


01976 


1185 


05048 


0323 


08079 


8712 


11047 


6365 


65 


02007 


3180 


05079 


0311 


08109 


8692 


11076 


6338 


66 


02038 


1175 


05109 


029* 


03139 


867J 


11105 


6 11 


67 


O2069 


117' 


05140 


0286 


08169 


8652 


11134 


6283 


68 


02099 


1165 


05170 


0273 


08199 


8632 


11164 


6256 


69 


02130 


1160 


05201 


0261 


08229 


8612 


11193 


6228 


70 


02161 


1155 


05231 


0248 


08259 


8592 


11222 


6201 


71 


02192 


1150 


05262 


0235 


08289 


8572 


11251 


6173 


72 


02223 


1144 


05292 


0222 


08319 


8551 


11280 


6146 


73 


02253 


1139 


05323 


0209 


08349 


8531 


11310 


6118 


74 


02284 


1133 


05353 


0196 


08379 


8510 


11339 


6t9u 


75 


02315 


1128 


05384 


0183 


08409 


8490 


11368 


6G62 


76 


02346 


]122 


0541- 


0170 


08439 


8469 


11397 


01)34 


77 


02377 


3117 


05445 


0156 


08469 


844^' 


11426 


60(6 


78 


02407 


1111 


05475 


0143 


08499 


8428 


11456 


5978 


79 


02438 


1105 


055C6 


0129 


08529 


8407 


11485 


595b 


80 


02469 


1099 


05536 


0116 


08559 


8386 


11514 


5922 


81 


02500 


1093 


05567 


0102 


08589 


8365 


11543 


i 894 


82 


02531 


1087 


05597 


0089 


08619 


8344 


11572 


5865 


83 


02561 


1081 


05628 


0075 


08649 


8323 


11602 


5837 


84 


02592 


1074 


05658 


0061 


08679 


8301 


11631 


58C8 


85 


02623 


1068 


05689 


0047 


06709 


8280 


11660 


5780 


86 


02654 


1061 


05719 


0033 


08739 


8258 
8237 


11669 


5751 


87 


02685 


J 055 


05750 


0019 


08769 


11718 


5723 


88 


02715 


1048 


05780 


9.0005 


08798 


8215 


11747 


5694 


89 


02746 


1042 


05811 


8.9990 


08828 


8194 


11776 


5665 


90 


02777 


1035 


05841 


9976 


08858 


8172 


11805 


5636 


91 


02808 


1028 


05871 


9962 


08888 


8150 


11834 


5007 


92 


02839 


1021 


05902 


9947 


08918 


8129 


11863 


5578 


93 


02869 


1014 


05932 


9933 


08947 


8107 


11892 


5549 


94 


02900 


1007 


05963 


9918 


08977 


8085 


11921 


5519 


95 


02931 


1000 


05993 


9904 


09007 


8063 


11950 


5490 


96 


02962 


0993 


06023 


9889 


09037 


8041 


11979 


5460 


97 


02993 


0985 


06054 


9875 


09067 


8019 


12008 


5431 


98 


03023 


0978 


06084 


9860 


09096 


7997 


12037 


5401 


99 


03054 


0970 


06115 


9845 


09126 


7974 


12066 


5372 


100 


+. 03085 


—9.0962 


+.06145 


—8.9830 


+.09156 


—8.7952 


+.12095 


—8.5342 



|* The last term is used when the Argument exceeds 3*00. When the Argument is negative the sign of Aq must be reversed, 

1*.-.+ 4.1..* ^:~„ ~£ t> : ii ^° 



but the sign of Bp remains the same. 



18 



GENERAL TABLES. 







TABLE XII.— The Quantities A Q and B a .— 1850.0. 










Argument = III + d' + day 


d 
of year— 6798.39.* 








400 


500 


600 


700 




A Q 


B Q | 


A a 


B Q 


A a 


B a 


' A Q 


B Q 





+.12095 


—8.5342 


+.14937 


—8.2021 


+.17661 


^7.8015 


+.20243 


—7.3352 


1 


12124 


5312 


14965 


1984 


17688 


7971 


20268 


3302 


2 


12153 


5283 


14993 


1948 


17714 


7928 


20293 


3253 


3 


12181 


5253 


15020 


1911 


17741 


7684 


20318 


3203 


4 


12210 


5223 


15048 


1874 


17767 


7841 


20343 


3153 


5 


12239 


5193 


15076 


1837 


17794 


7797 


20368 


3103 


6 


12268 


5163 


15104 


1800 


17820 


7753 


20393 


3053 


7 


12297 


5133 


15132 


1763 


17847 


7710 


20418 


3003 


8 


12325 


5103 


15159 


1726 

1688 


17873 


7666 


20442 


2953 


9 


12354 


5072 


15187 


17900 


7622 


20467 


2902 


10 


12383 


5042 


15215 


1651 


17926 


7578 


20492 


2852 


11 


12412 


5011 1 


15243 


1633 


17952 


7534 


20517 


2801 


12 


12441 


4981 


15271 


1576 


17979 


7490 


20542 


2751 


13 


12469 


4950 


15293 


1538 


18005 


7446 


20566 


2700 


14 


12498 


4920 


15326 


1501 


18032 


7401 


20591 


2650 


15 


12527 


4889 


15354 


1463 


18058 


7357 


20616 


2599 


16 


12556 


4858 


15382 


1425 


18084 


7312 


20641 


2548 


17 


12585 


4827 


15409 


1388 


18111 


7268 


20066 


2497 


18 


12613 


4796 


15437 


1350 


18137 


7223 


20690 


2446 


19 


12642 


4765 


15464 


1312 


18164 


7179 


20715 


2395 


20 


12671 


4734 


15492 


1274 


18190 


7134 


20740 


2344 


21 


12700 


4703 


15520 


1236 


18216 


7089 


20765 


2293 


22 


12729 


4671 


15547 


119S 


18242 


7044 


20789 


2242 


23 


12757 


4640 


1 5575 


1160 


18269 


6999 


20814 


2191 


24 


12786 


4608 


15602 


1121 


18295 


6954 


20838 


2139 


25 


12815 


4577 


15630 


1083 


18321 


6909 


20863 


2083 


26 


12844 


4545 


15658 


1045 


18347 


6864 


20888 


2037 


27 


12872 


4514 


1 5685 


1006 


18373 


6*19 


20912 


1985 


28 


12901 


4482 


15713 


0968 


18400 


6774 


20937 


1934 


29 


12929 


4451 


15740 


0929 


18426 


6728 


20961 


1882 


30 


12958 


4419 


15768 


0891 


18452 


6683 


20986 


1831 


31 


12987 


4387 


15795 


0852 


•18478 


6638 


21011 


1779 


32 


13015 


4355 


15823 


0814 


18504 


6592 


21035 


1728 


33 


13044 


4323 


15850 


0775 


18530 


6547 


21060 


1676 


34 


13072 


4291 


15878 


0736 


18556 


6501 


21084 


1624 


35 


13101 


4259 


15905 


0697 


18582 


6456 


21109 


1572 


36 


13130 


4227 


15932 


0658 


18608 


6410 


21133 


1520 


37 


13158 


4194 


15960 


0619 


18634 


6365 


21158 


1468 


38 


13187 


4162 


15987 


0580 


18660 


6319 


21182 


1416 


39 


13215 


4129 


16015 


0540 


18686 


6273 


21207 


1364 


40 


13244 


4097 


16042 


0501 


18712 


6227 


21231 


1312 


41 


13273 


4064 


16069 


0461 


18738 


6181 


21255 


1260 


42 


13301 


4031 


16097 


0422 


18764 


6135 


21280 


1207 


43 


13330 


3998 


16124 


0382 


18790 


6059 


21304 


1155 


44 


13358 


3966 


16152 


0343 


18816 


6042 


21329 


1102 


45 


13387 


3933 


16179 


C303 


18842 


5996 


21353 


1050 


46 


13416 


3900 


16206 


0263 


)ti^G8 


5949 


21377 


0997 


47 


13444 


3867 


16233 


0223 


18894 


5903 


21401 


0944 


48 


13473 


3834 


16261 


0183 


18919 


5856 


2i42,i 


0891 


49 


1350! 


3801 


1628S 


0143 


18945 


5810 


21450 


0839 


50 


+.13530 


—8.3768 


+.16315 


—8.0103 


+.18971 


—7.5763 


+.21474 


—7.0786 



The last term is used when the Argument exceeds 3400 

but the bigu of B 



When the Argument is negative the sign of Aq must be reversed, 
remains the same. 



GENERAL TABLES. 



19 







TABLE XII.— The Quantities Aq and Bo.— 1850.0. 










Argument = III -f- d' + day 


of year— 6793.39.* ' 








400 


500 


600 


700 




A oQ 


B Q 


A a 


B a 


A Q 


B a 


A a 


B Q 


50 


-f. 13530 


—8.3768 


+.16315 


n 

—8.0103 


+.18971 


—7.5763 


+.21474 


—7.0786 


51 


13558 


3735 


16342 


0063 


18997 


5716 


21498 


0733 


52 


13587 


3701 


16369 


8.0023 


19023 


5670 


21522 


0680 


53 


13615 


3668 


16397 


7.9933 


]<J048 


5623 


21547 


0627 i 


54 


13644 


3634 


16424 


9942 


19074 


5576 


21571 


0574 

1 


55 


13672 


3601 


16451 


9902 


19100 


5529 


21595 


0521 


56 


13700 


3567 


16478 


9861 


19126 


5482 


21619 


0468 


57 


13729 


3533 


16505 


9821 


19152 


5435 


21643 


0414 


58 


13757 


3499 


16533 


9780 


19177 


5388 


21667 


0361 


59 


13786 


3466 


16560 


9740 


19203 


5341 


21691 


0307 


00 


13814 


3432 


16587 


9699 


19229 


5294 


21715 


0254 


61 


13842 


3398 


16614 


9658 


19255 


5247 


21739 


0200 


6> 


13870 


3364 


16641 


9617 


19280 


5199 


21763 


0147 | 


63 


13899 


33:30 


16663 


9576 


19306 


5152 


21787 


0093 ! 


64 


13927 


3296 


16695 


9535 


19331 


5104 


21811 


7.0040 


65 


13955 


3282 


16722 


9494 


19357 


5057 


21835 


6.9986 


66 


13983 


3223 


16749 


9453 


19383 


5009 


21859 


9932 


67 


14011 


3193 


16776 


9412 


19408 


4962 


21633 


9879 


68 


14040 


3159 


16803 


9371 


19434 


4914 


21907 


9825 I 


69 


14068 


3124 


16830 


9329 


19459 


4866 


21931 


9771 j 


70 


14096 


3C90 


16857 


9288 


19485 


4818 


21955 


9717 


71 


14124 


3055 


16884 


9246 


19510 


4770 


21979 


9863 | 


72 


14152 


3020 


16911 


9205 


19536 


4722 


22003 


9609 


73 


14181 


2985 


16938 


9163 


19561 


4674 


22026 


9555 


74 


14209 


2951 


16965 


9122 


19587 


4625 


22050 


9500 


75 


14237 


2916 


16992 


9080 


19312 


4577 


22074 


9446 


76 


14265 


2881 


17019 


9038 


19637 


4528 


22098 


9392 


77 


14293 


2846 


17046 


8997 


19663 


4480 


22121 


9337 


7b 


14321 


2811 


17072 


8955 


19688 


4431 


22145 


9283 


79 


14349 


2776 


17099 


8913 


19714 


4383 


22168 


9228 


80 


14377 


2741 


17126 


8871 


19739 


4334 


22192 


9174 


81 


14405 


2706 


17153 


8829 


19764 


4285 


22216 


9119 


82 


14433 


2670 


17180 


8787 


19790 


4237 


22239 


9065 


83 


14461 


2635 


17206 


8745 


19815 


4188 


22263 


9010 


84 


14489 


2599 


17233 


8702 


19841 

19863 


4139 


22286 


8955 


85 


14517 


2564 


17260 


8660 


4090 


23310 


8900 


86 


14545 


2528 


17237 


8617 


19891 


4041 


22334 


8845 


87 


14573 


2493 


17314 


8575 


19916 


3992 


22357 


8790 


C8 


14601 


2457 


17340 


8532 


19942 


3943 


22381 


8735 


89 


14629 


2421 


17367 


8490 


19967 


3894 


22404 


8680 


90 


14657 


2385 


17394 


8447 


19992 


3845 


22423 


8625 


91 


14685 


2349 


17421 


8404 


20017 


3796 


22451 


8570 


92 


14713 


2313 


17448 


8361 


20042 


3747 


22475 


8514 


93 


14741 


2277 


17474 


8318 


20068 


3693 


22493 


8459 


94 


14769 


2240 


17501 


8275 


20093 


3648 


22522 


8403 


95 


14797 


2204 


17528 


8232 


20118 


3599 


22545 


8348 


96 


148-25 


2167 


17555 


8189 


20143 


3550 


22563 


8292 


97 


14853 


2131 


17581 


8145 


20168 


3500 


22592 


8237 


98 


14881 


2094 


17608 


8102 


20193 


3451 


22615 


8181 


99 


14909 


2058 


17634 


8058 


20218 


3401 


22039 


8125 


100 


+.14937 

i 


—8.2021 


+.17661 


—7.8015 


+.20243 


—7.3352 


+.22662 


—6.8069 

1 



" The last term is used when the Argument exceeds 3400. When the Argument is negative the sign of A,- , must be reven 

but the sign of B^ remains the same. 



20 



GENEKAL TABLES. 







TABLE XII.— The Quantities A a and B 


q.— 1850.0 










d 

Argument = Arg. Ill + d' + day of year — 6798. 39»* 








800 


900 


1000 


1100 


i 
I 


A Q 


B n 


A Q 


B Q 


A Q 


B Q 


A Q 


B Q 






if 




// 




// 




// 





+.22662 


—6.8069 


+.24898 


—6.2207 


+.26933 


—5.5813 


+.28747 


—4.8936 


1 


22685 


8013 


24919 


2146 


26952 


5746 


28764 


8365 


2 


22708 


7958 


24941 


2084 


26971 


5680 


28781 


8794 


3 


22732 


7902 


24962 


2023 


26991 


5613 


28798 


8723 


4 


22755 


7847 


24984 


1961 


27010 


5547 


28815 


8651 


5 


22778 


7791 


25005 


1900 


27029 


5490 


28832 


8580 


6 


22801 


7735 


25026 


1838 


27048 


5413 


28849 


8509 


7 


22824 


. 7679 


25047 


1777 


27067 


5347 


28866 


8437 


8 


22848 


7623 


25069 


1715 


27087 


5280 


28882 


8366 


9 


22871 


7566 


25090 


1654 


27106 


5213 


28899 


8294 


10 


22894 


7510 


25111 


1592 


27125 


5146 


28916 


8223 


11 


22917 


7453 


25132 


1530 


27144 


5079 


28933 


8151 


12 


22940 


7397 


25153 


1468 


27163 


5012 


28949 


8080 


13 


22963 


7340 


25175 


1406 


27182 


4945 


28966 


8008 


14 


22986 


7284 


25196 


1344 


27201 


4878 


28982 


7937 


15 


23009 


7227 


25217 


1282 


27220 


4811 


28999 


7865 


16 


23032 


7170 


25238 


1220 


27239 


4744 


29016 


7793 


17 


23055 


7113 


25259 


1157 


27258 


4677 


29032 


7721 


18 


23U78 


7056 


25280 


1095 


27276 


4610 


29049 


7650 


19 


23101 


6999 


25301 


1032 


27295 


4542 


29065 


7578 


20 


23124 


6942 


25322 


0970 


27314 


4475 


29082 


7506 


21 


23147 


6885 


25343 


0907 


27333 


4407 


29098 


7434 


22 


23170 


6828 


25364 


0845 


27352 


4340 


29115 


7363 


23 


23193 


6771 


25385 


0782 


27370 


4272 


29131 


7291 


24 


23216 


6713 


25406 


0720 


27389 


4205 


29148 


7219 


25 


23239 


6656 


25427 


0657 


27408 


413T 


29164 


7147 


26 


23262 


6599 


25448 


0594 


27427 


4069 


29180 


7075 


27 


23285 


6541 


25469 


0532 


27445 


4002 


29197 


7003 


28 


23307 


6484 


25489 


0469 


27464 


3334 


29213 


6931 


29 


23330 


6426 


25510 


0406 


27482 


3866 


29230 


6859 


30 


23353 


6369 


25531 


0343 


27501 


3798 


29246 


6787 


31 


23376 


6311 


25552 


0280 


27520 


3730 


29262 


6715 


32 


23399 


6254 


25573 


0217 


27538 


3662 


29278 


6642 


33 


23421 


6196 


2559? 


0154 


27557 


3594 


29295 


6570 


34 


23444 


6133 


25614 


0091 


27575 


3526 


29311 


6497 


35 


23467 


6080 


25635 


6.0028 


27594 


3458 


29327 


6425 


36 


23490 


6022 


25(556 


5.9965 


27612 


3390 


29343 


6352 


37 


23512 


5964 


25676 


9901 


27631 


3322 


29359 


6280 


38 


23535 


5906 


25697 


9838 


27649 


3254 


29375 


6207 


39 


23557 


5848 


25717 


9774 


27668 


31&5 


29391 


6135 


40 


23580 


5790 


25738 


9711 


27686 


3117 


29407 


60G2 


41 


23602 


5732 


25758 


9647 


27704 


3049 


29423 


5989 


42 


23625 


5674 


25779 


9584 


27723 


2980 


29439 


5917 


43 


23647 


5616 


25799 


9520 


27741 


2912 


29455 


5844 


44 


23670 


5557 


25820 


9457 


27760 


2843 


29471 


5771 


45 


23692 


5499 


25840 


9393 


27778 


2775 


29487 


5698 


46 


23714 


5441 


25860 


9329 


27796 


2706 


29503 


5625 


47 


23737 


5382 


25881 


9266 


27814 


2638 


29519 


5552 


48 


23759 


5324 


25901 


9202 


27833 


2569 


29534 


5479 


49 


23782 


5265 


25922 


9138 


27851 


2501 


29550 


5406 


50 

! 


+.20804 


—6.5207 


+.25942 


—5.9074 


+.27869 


—5.2432 


+.29566 


—4.5333 ; 

i 



; The last term is used when the Argument exceeds 3400. When the Argument is negative the sign of Aq must he reversed 



the sign of Bq remains the same. 



n 



GENERAL TABLES. 



21 



TABLE III.— The Quantities A Q and B a .— 1850.0. 

d 
Argument = Arg. Ill + d' + day of year — 6798.39.* 



800 



900 



1000 



1100 



50 
51 
52 
53 
54 

55 
56 
57 

58 
59 

60 
61 
62 
63 
64 

65 

66 
67 
68 
69 

70 
71 
72 
73 

74 

75 

76 

77 
78 
79 



81 
82 
83 

84 

85 
86 
87 
88 
89 

90 
91 
92 
93 
94 

95 
96 
97 
98 
99 
100 



-{-.23804 
23326 
23848 
23871 
23893 

23915 
23937 
23959 
23982 
24004 

24026 
24048 
24070 
24093 
24115 

24137 
24159 
24181 
24203 
24225 

24247 
24269 
24291 
24313 
24335 

24357 
24379 
24401 
24422 
24444 

24466 
24488 
24510 
24531 
24553 

24575 

24597 

• 24618 

24640 

24661 

24683 
24705 
24726 

24748 
24769 

24791 

24812 
24834 

24855 

24877 
+.24898 



-6.5207 
5148 
5090 
5031 
4973 

4914 

4855 
4796 
4737 
4678 

4619 

4560 
4500 
4441 
4381 

4322 
4262 

4202 
4143 

4084 

4024 
3964 
3904 
3844 

3784 

3724 
3664 
3604 
3544 
3483 

3423 

3363 
3302 
3242 
3181 

3121 

3060 
3000 
2939 
2879 

2818 
2757 
2696 
2635 
2574 

2513 

2452 
2391 
2330 
2268 
-6.2207 



+.25942 
25962 
25982 
26003 
26023 

26043 
26063 
26083 
26104 
26124 

26144 
26164 
26184 
26204 
26224 

26244 
26264 
26284 
26304 
26324 

26344 
26364 
26384 
26404 
26424 

26444 
26464 
26484 
26503 
26523 

26543 
26563 
26582 
26602 
26621 

26641 
26661 
26680 
26700 
26719 

26739 
26758 
26778 
26797 
26817 

26836 
26855 
26875 
26894 
26914 
+.26933 



3.9074 
9010 
8946 

8882 

8818 

8754 
8690 
8626 
8562 

8497 

8434 

8368 
8304 
8239 
8175 

8110 
8045 
7980 
7915 

7850 

7785 
7720 
7655 
7590 
7524 

7459 
7394 
7328 
7263 
7197 

7132 

7066 
7001 
6935 
6870 

6804 
6738 
6673 
6607 
6541 

6475 

6409 
6343 
6277 
6211 

6145 

6079 
6012 
5946 
5879 
-5.5813 



+.27869 
27887 
27905 
27923 
27941 

27959' 
27977 
27995 
28013 
28031 

28049 
28067 
28085 
28102 
28120 

28138 
28156 
28174 
28191 
28209 

28227 
28245 
28262 
28280 
28297 

28315 
28332 

28350 
28367 

28385 

28402 
28419 

28437 

28454 
28472 

28489 
28506 
28523 
28541 

28558 

28575 
28592 
28GC9 
28627 
28644 

28661 
28678 
28695 
28713 

28730 

+.28747 



-5.2432 
2363 
2295 
2226 
2157 

2088 
2019 
1950 
1881 
1811 

1742 
1673 
1603 
1534 
1464 

1395 
1325 
1256 
1188 
1117 

1047 

0977 
0908 
0838 
0768 

0698 

0628 
0558 
0488 
0418 

0348 
0278 
0208 
0138 
5.0067 

4.9997 
9927 
9856 
9786 
9715 

9645 
9574 
9504 
9433 
9362 

9291 

9220 
9149 

9078 

9007 

-4.8936 



+.29568 
29582 
29593 
29613 
29629 

29645 
29661 

29676 
29392 
29707 

29723 
29738 
29754 
29769 
29785 

29800 
29815 
29831 

29846 
29862 

29877 
. 29892 



29923 

29938 

29953 
29968 
29983 
29999 
30014 

30029 
30044 
30059 
30074 
30089 

30104 
30119 
30134 
30148 
30163 

30178 
30193 
30208 
30222 
30237 

30252 
30267 
30281 
30296 
30310 
+.30325 



-4.5333 

5260 
5187 
5114 
5041 

4968 

4895 
4821 
4748 i 
4674 

4601 | 
4527 i 
4454 
4380 
4307 

4233 I 

4159 

4086 

4012 

3938 

3364 
3790 
3716 
3842 
3563 

3494 

3420 
3346 I 
3272 
3198 ! 

3124 
3050 
2975 j 
2901 
2826 I 
I 
2752 I 
2677 
2603 i 
2528 ! 
2454 

2379 

2304 
2229 
2155 
2080 

2005 
1930 
1855 
1780 
1705 
-4.1620 



The last term is used when the Argument exceeds 3400. When the Argument is negative the sign of Aq must be reversed, 

but the sign of Bq remains the same. 



22 






GENEKAL TABLES. 












TABLE III— The Quantities A Q and B^.— 1850.0, 












d 

Argument = Arg. Ill + d' + day of year — 6798.39.* 










1200 ■; 


1300 


1400 


1500 




A Q 


B h j 


A Q 


B a ! 


A Q 


B a 


A a 


B Q 






ii 




a 




// 




„ 





+.30325 


—4.1630 


+.31653 


—3.3955 


+.32718 


—2.5974 ! 


+.33509 


—1.7752 




1 


30339 


1557 


31665 


3877 


32727 


5893 


33515 


7669 




2 


30354 


1482 


31677 


3793 


32736 


5812 


33522 


7586 




3 


30368 


1406 


31683 


3720 


32746 


5730 


33528 


7502 




4 


30383 


1331 


31700 


3641 


32755 


5649 


33535 


7419 




5 


30397 


1254 


31712 


3563 


32764 


5568 


33541 


7336 




6 


30411 


1179 


31724 


3484 


32773 


5487 


33547 


7253 




7 


30426 


1103 


31736 


3406 


32782 


5405 


33553 


7169 




8 


30440 


1028 


31747 


3327 


32791 


5324 


33560 


7086 




9 


30455 


0952 


31759 


3249 


32800 


5242 


33566 


7002 




10 


30469 


0877 


31771 


3170 


32809 


5161 


33572 


6919 




11 


30483 


0802 


31783 


3091 


32818 


5080 


33578 


6336 




12 


30497 


0726 


31794 


3012 


32827 


4998 


33584 


6752 




13 


30512 


0651 


31806 


2934 


32836 


4917 


33591 


6669 




14 


30526 


0575 


31817 


2855 


32845 


4835 


33597 


6585 




15 


30540 


0500 


31829 


2776 


32854 


4754 


33603 


6502 




16 


30554 


0424 


31841 


2697 


32863 


4672 


33609 


6418 




17 


30568 


0349 


31852 


2618 


32872 


4591 


33615 


6335 




18 


30583 


0273 


31864 


2539 


32880 


4509 


33621 


6251 




19 


30597 


0198 


31875 


2460 


32889 


4428 


33627 


6167 




20 


30611 


0122 


31887 


2381 


32898 


4346 


33633 


6084 




21 


30625 


4.0046 


31898 
31910 


2302 


32907 


4264 


33639 


6000 




22 


30639 


3.9971 


2223 


32916 


4183 


33645 


5937 




23 


30653 


9895 


31921 


2144 


32924 


4101 


33651 


5833 




24 


30667 


9819 


31933 


2065 


32933 


4020 


33657 


5750 




25 


3068 ^ 


9743 


31944 


1986 


32942 


3938 


33663 


5666 




26 


30695 


9667 


31955 


1907 


32951 


3856 


33669 


5582 




27 


30709 


9591 


31966 


1828 


32959 


3774 


33675 


5499 




28 


30722 


9515 


31978 


1748 


32968 


3693 


33680 


5415 




29 


30736 


9439 


31989 


1669 


32976 


3611 


33686 


5332 




30 


30750 


9363 


32000 


1590 


32985 


3529 


33692 


5248 




31 


30764 


9287 


32011 
32022 
32034 

32045 


1511 


32993 


3447 


33698 


5164 




32 


30778 


9211 


1431 


33002 


3365 


33703 
33709 
33714 


5080 




33 


30791 


9135 


1352 


33010 


3284 


4997 




34 


30805 


9058 


1272 


33019 


3202 


4913 




35 


30319 


8982 


32056 


1193 


33027 


3120 


33720 


4829 




36 


30833 


8906 


32067 


1114 


33035 


3038 


33725 


4745 




37 


30846 


8829 


32078 


1034 


33043 


2956 


33731 


4661 




38 


30860 


8753 


32089 


0955 


33052 


2874 


33735 


4578 




39 


30873 


8676 


32100 


0875 


3:5060 


2792 


33742 


4494 




40 


30837 


8600 


32110 


0796 


33068 


2710 


33747 


4410 




41 


30900 


8524 


32122 


0716 


33076 


2628 


33752 


4326 




42 


309 i 4 


8447 


32133 


0637 


33034 


2546 


33757 


4242 




43 


30927 


8371 


32143 


0557 


33092 


2464 


33763 


4159 




44 


30941 


8294 


32154 


0478 


33100 


2382 


33763 


4075 




! 45 


30954 


8218 


32165 


0398 


33108 


2300 


33773 


3991 




i 46 


30987 


8141 


32176 


0318 


33116 


2218 


33778 


3907 




i 47 


30981 


8065 


32187 


0238 


33124 


2136 


33783 


3823 




48 


30904 


7988 


32197 


0J58 


33132 


2053 


33789 


3739 




49 


31008 


7012 


32208 


3.01)78 


33140 


1971 


33794 


3655 




50 


+.31021 


—3.7835 


+ .3221 9 


—2.9999 


+.33148 


—2.1889 


+.33799 


—1.3571 





*The last term ia used when thy Argument exceeds 3400. When the Argument is negative the sign of A^ must be reversed, 

but the sign of Bq remains the same. 



GENERAL TABLES. 



23 







TABLE XII.— The Quantities 


A Q and Bq.— 1850.0. 










Argument == Arg. Ill -f- d' + day of year — 


d 

5798.39.* 








1200 


1300 


1400 


1500 




A Q 


B a 


A Q 


BQ l 


A a 


B Q | 


A a 


B Q 


50 


+.31021 


—3.7835 


+.32219 


—2.9999 


+.33148 


n 

—2.1889 


+.33799 


—1.3571 


51 


31034 


7758 


32230 


9919 


33156 


1807 


33804 


3487 


52 


31047 


7682 


32240 


9840 


33164 


1725 


33809 


3403 


55 


31061 


7605 


32251 


9760 


33171 


1642 


33814 


3319 


54 


31074 


7528 


32261 


9680 


33179 


1560 


33819 


3235 


55 


31087 


7451 


32272 


9600 


33187 


1478 


33824 


3151 


56 


31100 


7374 


32282 


9520 


33195 


1396 


33829 


3067 


57 


31113 


7297 


32293 


9440 


33202 


1313 


33834 


2983 


58' 


31126 


7220 


32303 


9360 


33210 


1231 


33838 


2899 


59 


31139 


7143 


32314 


9280 


33217 


1148 


33843 


2815 


60 


31152 


7066 


32324 


9200 


33225 


1066 


33848 


2731 


61 


31165 


6989 


32334 


9120 


33233 


0984 


33853 


2647 


62 


31178 


6912 


32345 


9C40 


33240 


0901 


33858 


2563 


ea 


31191 


6835 


32355 


8959 


33248 


0819 


33862 


2478 


64 


31204 


6757 


32366 


8879 


33255 


0736 


33867 


2394 


65 


31217 


6680 


32376 


8799 


33263 


0654 


33872 


2310 


65 


31230 


6603 


32386 


8719 


33270 


0571 


33877 


2226 


67 


31243 


6525 


32396 


9638 


33278 


0489 


33881 


2142 


GS 


31255 


6448 


32407 


8558 


33285 


0406 


33886 


2057 j 


69 


31268 


6370 


32417 


8477 


33293 


0324 


33890 


1973 


70 


31281 


6293 


32427 


8397 


33300 


0241 


33895 


1889 


71 


31294 


6215 


32437 


8317 


33307 


0158 


33899 


1805 


72 


31307 


6138 


32447 


8236 


33315 


2.0075 


33904 


1720 


73 


31319 


6060 


32457 


8156 


33322 


1.9993 


33908 


me 


74 


31332 


5983 


32467 


8075 


33330 


9910 


33913 


1551 


75 


31345 


5905 


32477 


7995 


33337 


9827 


33917 


1467 i 


76 


31358 


5827 


32487 


7914 


33344 


9744 


33921 


1383 1 


77 


31370 


5750 


32497 


7834 


33351 


9661 


33925 


1298 ! 


78 


31383 


5672 


32506 


7753 


33359 


9579 


33930 


1214 ; 


70 


. 31395 


5595 


32516 


7673 


33366 


9496 


33934 


1129 


80 


31408 


5517 


32526 


7592 


33373 


9413 


33938 


1045 


81 


31420 


5439 


32536 


7511 


33380 


9330 


33942 


0961 


82 


31433 


5362 


32546 


7431 


33387 


9247 


83946 


0876 


83 


41445 


5284 


32555 
32565 


7350 


33394 


9164 


33951 


0792 


84 


31458 


5206 


7270 


33401 


9081 


33955 


0707 


85 


31470 


5128 


32575 


7189 


33408 


8998 


33959 


0623 


86 


31482 


5050 


32585 


7108 


33415 


8915 


33963 


0539 


87 


31495 


4972 


32594 


7027 


33422 


8832 


33967 


0454 


88 


31507 


4894 


32604 


6947 


33428 


8749 


33971 


0370 


80 


31520 


4816 


32613 


6866 


. 33435 


8666 


33975 


0285 


90 


31532 


4738 


32623 


6785 


33442 


8583 


33979 


0201 


91 


31544 


4660 


32633 


6704 


33449 


8500 


33983 


0116 


92 


31556 


4582 


32642 


6623 


33456 


8417 


33987 


1.0032 


93 


31569 


4504 


32652 


6542 


33462 


8334 


33990 


0.9947 


94 


31581 


4425 


32661 


6461 


33469 


8251 


32994 


9863 


95 


31593 


4347 


32671 


6380 


33476 


8168 


33998 


9778 


96 


31605 


4269 


32680 


6299 


33483 


8085 


34002 


9694 


97 


21617 


4190 


32690 


6218 


33489 


8002 


34006 


9609 


98 


31629 


4112 


32699 


6136 


33496 


7918 


34009 


9525 


99 


31641 


4033 


32709 


6055 


33502 


7835 


34013 


9440 


100 


+.31653 


—3.3955 


+.32718 


—2.5974 


+.33509 


—1.7752 


+.34017 


—0.9356 



r The last term is vised when the Argument exceeds 3400, 



When the Argument is negative the sign of Aq must be reversed 
the sign of Bq remains the same. 



24 



GENERAL TABLES. 







TABLE XII.-Thc 


Quantities A^ and B 


a .-1850.0 


• 


1 






d 
Argument = Arg. Ill + d 1 + day of year — 6798.39.* 








1600 


1-700 


1800 


1900 




A Q 


B a 


A a 


B a 


A a 


B a 


A a 


B a 





+.34017 


—0.9356 


+.34237 


— 0.0S58 


+.34165 


+0.7669 


+.33799 


+1.6153 


1 


34021 


9271 


34238 


0773 


34163 


7754 


33794 


6237 


2 


34024 


9187 


34239 


0688 


34161 


7839 


33789 


6322 


3 


34028 


9102 


34>o9 


0602 


34158 


7925 


33783 


6406 


4 


34031 


9018 


34240 


0517 


34156 


8010 


33778 


6491 


5 


34035 


8933 


34241 


0432 


34154 


8095 


33773 


6575 


6 


34038 


8848 


34242 


0347 


34152 


8180 


33768 


6659 


7 


34042 


8764 


34242 


0261 


34149 


8265 


33762 


6743 


8 


34045 


8679 


34243 


0176 


34147 


8351 


33757 


6828 


9 


24049 


8595 


34243 


0090 


34144 


8436 


33751 


6912 


10 


34052 


8510 


34244 


—0.0005 


34142 


8521 


33746 


6996 


11 


34055 


8425 


34244 


+0.0080 


34139 


8606 


33741 


7080 


12 


34058 


8340 


34245 


0165 


34137 


8691 


33735 


7164 


13 


34062 


8256 


34245 


0251 


34134 


8776 


33730 


7249 


14 


34065 


8171 


34246 


0336 


34132 


8861 


33724 


7333 


15 


34068 


8086 


34246 


0421 


34129 


8946 


33719 


7417 


16 


34071 


8001 


34246 


0506 


34126 


9031 


33713 


7501 


17 


34074 


7916 


34246 


0592 


34123 


9116 


33708 


7585 


18 


34078 


7832 


34247 


0677 


35121 


9202 


33702 


7670 


19 


3408J 


7747 


34247 


0763 


34118 


9287 


33697 


7754 


20 


34084 


7662 


34247 


0848 


34115 


9372 


33691 


7838 


21 


34087 


7577 


34247 


0933 


34112 


9457 


33685 


7922 


22 


34090 


7492 


34247 


1018 


34109 


9542 


33679 


8006 


23 


34093 


7408 


34247 


1104 


34107 


9627 


33674 


8091 


24 


34096 


7323 


34247 


1189 


34104 


9712 


33668 


8175 


25 


34099 


7238 


34247 


1274 


34J01 


9797 


33662 


8259 


26 


34102 


7153 


34247 


1359 


34098 
34095 


9882 


33656 


8343 


27 


34105 


7068 


34247 


1444 


0.9967 


33650 


8427 


28 


34107 


6984 


34247 


1530 


34092 


1.0052 


33644 


8511 


29 


34110 


6899 


34247 


1015 


34089 


0137 


33638 


8595 


30 


34113 


6814 


34247 


1700 


34086 


0222 


33632 


8679 


31 


34116 


6729 


34247 


1785 


34083 


0307 


33626 


8763 


32 


34119 


6644 


34247 


1871 


34080 


0392 


33620 


8847 


33 


34121 


6560 


34246 


1956 


34076 


0477 


33614 


8931 


34 


24124 


6475 


34246 


2042 


34073 


0562 


33608 


9015 


35 


34127 


6390 


34246 


2127 


34070 


0647 


33602 


9099 


36 


34130 


6305 


34246 


2212 


34067 


0732 


33595 


9183 


37 


34132 


6220 


34245 


2297 


34063 


0817 


33590 


9267 


38 


34135 


6135 


34245 


2383 


34060 


0902 


33583 


9351 


39 


34137 


6050 


34244 


2468 


34056 


0987 


33577 


9435 


40 


34140 


5965 


34244 


2553 


34053 


1072 


33571 


9519 


41 


34142 


5880 


34243 


2638 


34050 


1157 


33565 


9603 


42 


34145 


5795 


34243 


2724 


34046 


1242 


33558 


9087 


43 


34147 


5710 


34242 


2809 


34043 


1326 


33552 


9770 


44 


34150 


5625 


34242 


2895 


34039 


1411 


33545 


9854 


45 


34152 


5540 


34241 


2980 


34036 


1496 


33539 


1.9938 


46 


34154 


5455 


34240 


3065 


34032 


1581 


33533 


2.0022 


47 


34156 


5370 


34240 


3150 


34029 


1666 


33526 


0106 


48 


34159 


5285 


. 34239 


3236 


34025 


1751 


33520 


0J89 


49 


34161 


5200 


34239 


3321 


34022 


1836 


33513 


0273 


50 


+.34163 


—0.5115 


+.34238 


+0.3406 


+.34018 


+1.1921 

1 


+.33507 


+2.0357 



The last term is used when the Argument exceeds 3400. When the Argument is negative the sign of A q must be reversed, 

but the siprn of Bn remains the same. 



GENERAL TABLES. 



25 







TABLE XII.— The Quantities A Q and B^.— 1850.0. 












Argument = Arg. Ill + d' + day of year— 


6798.39/ 










1600 


1700 


1800 


1900 






A Q 


B a 


A Q 


B ^ 


A a 


B ^ 


A a 


B Q 




50 


+.34163 


—0.5115 


+. 34238 


+0.3406 


+.34018 


+1.1921 


+.33507 


+2.0357 




51 


34165 


5030 


34237 


3491 


34014 


2006 


33500 


0441 




52 


34167 


4945 


34236 


3576 


34010 


2091 


33494 


0524 




53 


34170 


4860 


34236 


3662 


34007 


2175 


33487 


0608 




54 


34172 


4775 


34235 


3747 


34003 


2260 


33481 


0691 




55 


34174 


4690 


34234 


3832 


33999 


2345 


33474 


0775 




56 


34176 


4605 


34233 


3917 


33995 


2430 


33467 


0859 




57 


34178 


4520 


34232 


4003 


33991 


2515 


33460 


0942 




58 


34180 


4435 


34231 


4088 


33988 


2599 


33454 


1026 




59 


34182 


4350 


34230 


4174 


33984 


2684 


33447 


1109 




60 


34184 


4265 


34229 


4259 


33980 


2769 


33440 


1193 




61 


34186 


4180 


34228 


4344 


33976 


2854 


33433 


1277 




62 


34188 


4095 


34227 


4429 


33972 


2939 


33426 


1360 




63 


34189 


4010 


34226 


4515 


33968 


3023 


33419 


1444 




64 


34191 


3925 


34225 


4600 


33964 


3108 


33412 


1527 




65 


34193 


3840 


34224 


4685 


33960 


3193 


33405 


1611 




i 66 


34195 


3755 1 


34223 


4770 


33956 


3278 


33398 


1694 




67 


34196 


3670 


34222 


4856 


33952 


3362 


33391 


1778 




68 


34198 


3584 


34220 


4941 


33947 


3447 


33384 


1861 




■ 69 


34199 


3499 


34219 


5027 


33943 


3531 


33377 


1945 




70 


34201 


3414 


34218 


5112 


33939 


3616 


33370 


2028 




71 


34203 


3328 


34217 


5197 


33935 


3701 


33363 


2111 




72 


34204 


3243 


34215 


5282 


33930 


3786 


33356 


2195 




73 


34206 


3157 


34214 


5368 


33926 


3870 


33348 


2278 




74 


34207 


3072 


34212 


5453 


33921 


3955 


33341 


2362 




75 


34209 


2988 


34211 


5538 


33917 


4040 


33334 


2445 




76 


34210 


2903 


34209 


5623 


33913 


4125 


33327 


2528 




77 


34212 


2818 


34208 


5708 


33908 


4209 


33319 


2611 




78 


34213 


2732 


34206 


5794 


33904 


4294 


33312 


2695 




79 


34215 


2647 


34205 


5879 


33899 


4378 


33304 


2778 




SO 


34216 


2562 


34203 


5964 


33895 


4463 


33297 


2861 




81 


34217 


2477 


34201 


6049 


33890 


4548 


33289 


2944 




82 


34218 


2392 


34200 


6135 


33886 


4632 


33282 


3027 




1 83 


34220 


2306 


34198 


6220 


33881 


4717 


33274 


3111 




84 


34221 


2221 


34197 
34195 


6306 


33877 


4801 


33267 


3194 




85 


34222 


2136 


6391 


33872 


4886 


! 33259 


3277 




86 


34223 


2051 


34193 


6476 


33867 


4970 


5 33251 


3360 




87 


34224 


1966 


34191 


6561 


' 33862 


5055 


33244 


3443 




88 


34226 


1880 


34190 


6647 


33858 


5139 


33236 


3526 




89 


34227 


1795 


34188 


6732 


33853 


5224 


33229 


3609 




93 


34228 


1710 


34186 


6817 


33848 


5308 


33221 


3692 




91 


34229 


1625 


34184 


6902 


33843 


5393 


33213 


3775 




92 


34230 


1540 


34182 


6987 


33838 


5477 


33205 


3858 




93 


34-231 


1454 


34180 


7073 


33834 


5562 


33198 


3941 




t 94 


34232 


1369 


34178 


7158 


33829 


5646 


33190 


4024 




95 


34233 


1284 


34176 


7243 


33824 


5731 


33182 


4107 




I 96 


34234 


1199 


34174 


7328 


33819 


5815 


33174 


4190 




97 


34235 


1114 


34172 


7413 


33814 


5900 


33166 


4273 




98 


34235 


1028 


34169 


7499 


33809 


5984 


33158 


4356 




99 


34236 


0943 


34167 


7584 


33804 


6069 


33150 


4439 




10 


-{-.34237 


—0.0858 


+.34 165 


+0.7669 


+.33799 


+1.6153 

1 


+.33142 


+2.4522 





The last term is used, when the Argument exceeds 3400. 



When the Argument is negative the sign of A ( y must 



be reversed 



but the sign of B^ remains the same 



26 



GENERAL TABLES. 







TABLE XII.— The Quantities A Q and B 

Argument = Arg. Ill + d' + day of year— 


^.—1850.0 

d 

6798 39.* 


• 






8000 


2100 


3200 


2300 




A a 


B n 


A a 


B Q 


A Q 


B a 


A a 


B a 





+.33142 


+2.4522 


+.32196 


+3.2701 


+.30967 


+4.0617 


+.29466 


+4.82C0 


1 


33134 


4605 


32185 


2781 


30953 


0695 


29450 


8274 


2 


33126 


4688 


32174 


2862 


30939 


0772 


29433 


8348 


3 


33117 


4770 


32163 


2942 


30926 


0850 


29417 


8422 


4 


33109 


4853 


32152 


3023 


30912 


0927 


29400 


8495 


5 


33101 


4936 


32141 


3103 


30898 


1005 


29384 


8569 


6 


33093 


5019 


32-130 


3183 


30884 


1082 


29367 


8643 


7 


33085 


5102 


32119 


3264 


30870 


1160 


29351 


8716 


8 


33076 


5184 


32107 


3344 


30857 


1237 


29334 


8790 


9 


33068 


5267 


32096 


3425 


30843 


1315 


29318 


8863 


10 


33060 


5350 


32085 


3505 


30829 


1392 


29301 


8937 


11 


33052 


5433 


32074 


3585 


30815 


1469 


29284 


9010 


i 12 


33043 


5515 


32063 


3665 


30801 


1547 


29263 


9084 


13 


33035 


5593 


32051 


3746 


30787 


1624 


29251 


9157 


14 


33026 


5680 


32040 


3826 


30773 


1701 


29235 


, 9231 


15 


33018 


5763 


32029 


3906 


30759 


1778 


29218 


9304 


16 


33009 


5845 


32018 


3986 


30745 


1855 


29201 


9377 


1? 


33001 


5928 


32006 


4067 


30731 


1932 


29184 


9451 


18 


32992 


6010 


31995 


4147 


30716 


2009 


29163 


9524 


19 


32984 


6093 


31983 


4227 


30702 


2086 


29151 


9597 


20 


32975 


6175 


31972 


4307 


30688 


2163 


29134 


9670 


21 


32966 


6257 


31961 


43S7 


30674 


2240 


29117 


9743 


22 


32958 


6340 


31949 


4467 


30660 


2317 


29100 


9816 


23 


32949- 


6422 


3 J 938 


4547 


30645 


2394 


29084 


9889 


24 


32941 


6505 


31926 


4627 


30631 


2470 


29067 


4.9962 


25 


32932 


6587 


31915 


4707 


30617 


2547 


29050 


5.0035 


20 


32923 


6669 


31903 


4787 


30603 


2624 


29033 


0108 


27 


32914 


6751 


31892 


4867 


30588 


2700 


29016 


0181 


28 


32906 


6834 


3 J 880 


4946 


30574 


2777 


28999 


0254 


29 


32897 


6916 


31869 


5026 


30559 


2853 


28982 


0326 


30 


32887 


6998 


31857 


5106 


30545 


2930 


28965 


0399 


31 


32879 


7080 


31845 


5186 


30530 


3006 


28943 


0472 


32 


32870 


7162 


31833 


5265 


30516 


3083 


28931 


0544 


33 


3-2861 


7245 


31822 


5345 


30501 


3159 


28913 


0617 


34 


32852 


7327 


31810 


5425 


30487 


3236 


23896 


0639 


35 


32843 


7409 


31798 


5505 


30472 


3312 


23379 


0762 


36 


32834 


7491 


31786 


5585 


30457 


3388 


28362 


0834 


37 


328-25 


7573 


31774 


5664 


30443 


3465 


28344 


0907 


38 


32816 


7656 


31762 


5744 


30428 


3541 


23827 


C979 


39 


32807 


7738 


31750 


5823 


30414 


3618 


23809 
28792 


1052 


40 


32793 


7820 


31738 


5903 


30399 


3694 


1124 


41 


32789 


7902 


31726 


5982 


30384 


3770 


23775 


1190 


42 


32780 


7984 


31714 


6062 


30369 


3347 


23757 


1269 


43 


32770 


8066 


3J701 


6141 


30355 


3923 


28740 


1311 


44 


32761 


8148 


31689 


6221 


30340 


3999 


28722 


1413 


45 


32752 


8230 


31677 


6300 


30325 


4075 


28705 


1485 


'46 


32743 


8312 


31665 


6379 


30310 


4151 


23687 


1557 


47 


32733 


8:594 


31653 


6459 


30295 


4227 


28670 


1629 


48 


32724 


8476 


31640 


65.38 


30280 


4303 


23652 


1701 


49 


32714 


8558 


31628 


6617 


30265 


4379 


23635 


1773 


50 


+.32705 


+2.8640 


+.31616 


+3.6696 


+.30250 


+4.4455 


+.23617 


+5.1845 



The last term is used when the Argument exceeds 3400. "When the Argument is negative the sign of A n must be reversed, 

but the sign of B n remains the same. 



GENERAL TABLES. 



27 







TABLE III.— The Quantities A^ and B^.— 1850.0. 










Argument = Arg. Ill + d' + day of year— 


d 
■6798.39.* 








2000 


2100 


2200 


2300 




A £l 


B Q 


A a 


B a 


A Q 


B a 


A a 


B a 


50 


+.32705 


+2.8640 


+.31616 


II 

+3.6696 


+.30250 


+4.4455 


+.28617 


+5.1815 


51 


32695 


8722 


31604 


6775 


30235 


4531 


28599 


1917 


52 


32686 


8804 


31591 


6854 


30220 


4607 


28581 


1989 


53 


32676 


8885 


31579 


6933 


30204 


4683 


28564 


2061 


54 


32666 


8967 


31566 


7012 


30189 


4758 


28546 


2132 


55 


32657 


9049 


31554 


7091 


30174 


4834 


28528 


2204 


56 


32647 


9131 


31541 


7170 


30159 


4910 


28510 


2278 


57 


32638 


9212 


31529 


7249 


30144 


4985 


28492 


2347 


58 


32628 


9294 


3J516 


7328 


30128 


5061 


28475 


2419 


59 


32619 


9375 


31504 


7407 


30113 


5136 


28457 


2490 j 


60 


32609 


9457 


31491 


7486 


30098 


5212 


28439 


2562 


61 


32599 


9539 


31478 


7565 


30083 


5287 


28421 


2633 


62 


32589 


9620 


31466 


7643 


30067 


5363 


28403 


2705 


63 


32580 


9702 


31453 


7722 


30052 


5438 


28385 


2776 


64 


32570 


9783 


31441 


7801 


30036 


5514 


28367 


2847 


65 


32560 


9865 


31428 


7880 


30021 


5589 


28349 


2918 


66 


32550 


2.9946 


31415 


7959 


30006 


5664 


28331 


2989 


67 


32540 


3.0028 


31402 


8037 


29991 


5740 


28313 


3060 


68 


32530 


0109 


31390 


8116 


29975 


5815 


28295 


3131 


69 


32520 


0191 


31377 


8194 


29960 


5890 


28277 


3202 


70 


32510 


0272 


31361 


8273 


29944 


5965 


28259 


3273 


71 


32500 


0353 


31351 


8352 


29928 


6040 


28241 


3344 


72 


32490 


0435 


31338 


8430 


29913 


6115 


28223 


3415 


73 


32480 


0516 


31326 


8509 


29897 


6189 


28204 


3486 


74 


32470 


0597 


31313 


8587 


29882 


6264 


28186 


3556 


75 


32460 


0678 


31300 


£666 


29866 


6339 


28168 


3627 


76 


32450 


0759 


31287 


8744 


29850 


6414 


28150 


3698 


77 


32440 


0841 


31274 


8823 


29834 


6489 


28131 


3768 


78 


32429 


0922 


31261 


8901 


29819 


6563 


28113 


3839 


79 


32419 


1003 


31248 


8980 


29803 


6638 


28094 


3909 


80 


32409 


1084 


31235 


9058 


1 29787 


6713 


28076 


3980 


81 


32399 


1165 


31222 


9136 


! 29771 


6788 


28058 


4050 


82 


32388 


1246 


31209 


9215 


29755 


6862 


28039 


4121 


83 


32378 


1327 


31195 


9293 


29740 


6937 


28021 


4191 


84 


32367 


1408 


31182 


9371 


29724 


7011 


28002 


4062 


85 


32357 


1489 


31169 


9449 


29708 


7086 


27984 


4332 


86 


32346 


1570 


31156 


9527 


29692 


7160 


27965 


4402 


87 


32336 


1651 


31142 


9605 


29676 


7235 


27947 


4473 


88 


32325 


1732 


31129 


9683 


29660 


7309 


27928 


4543 


89 


32315 


1813 


31115 


9761 


29644 


7384 


27910 


4613 


90 


32304 


1894 


31102 


9839 


29628 


7458 


27891 


4683 


91 


32293 


1975 


3,1088 


9917 


29612 


7532 


27872 


4753 


92 


32282 


2056 


31075 


3.9995 


29596 


7606 


27854 


4823 


93 


32272 


2137 


31062 


4.0072 


29579 


7681 


27835 


4893 


94 


32261 


2217 


31048 


0150 


29563 


7755 


27817 


4963 


95 


32250 


2298 


31035 


0228 


29547 


7829 


27798 


5033 


96 


. 32239 


2379 


31021 


0306 


29531 


7903 


27779 


5103 


97 


32228 


2459 


31008 


0384 


29515 


7978 


27760 


5173 


98 


32218 


2540 


30994 


0461 


29498 


8052 


27742 


5243 


99 


32207 


2620 


30981 


0539 


29482 


8126 


27723 


5312 


100 


+.32198 


+3.2701 


+.30967 


+4.0617 


+.29466 


+4.8200 


+.27704 


+5.5382 



The last term is used when the Argument exceeds 3400 



When the Argument is negative the sign of A n must be 

"•a 



rsed, 



28 






GENERAL TABLES. 










TABLE XII.-The 


Quantities Aq and B 


^.-1850.0 


• 








Argument = Arg. Ill -f- d' + day of year— 


6798*39.* 








2400 


2500 


2600 


2700 




A Q 


B a 


\q 


B Q 


A Q 


B Q 


A a 


B a 





+.27704 


+5.5382 


+.25696 


II 

+6.2098 


+.23458 


+6.8285 


+.21009 


+7.3887 


1 


27685 


5452 


25675 


2162 


23434 


8344 


20984 


3940 


2 


27666 


5521 


25653 


2227 


23411 


8402 


20958 


3993 


3 


27647 


5591 


25632 


2291 


23387 


8461 


20933 


4046 


4 


27628 


5660 


25610 


2356 


23364 


8520 


20907 


4098 


5 


27609 


5730 


25589 


2420 


23340 


8579 


20882 


4151 


6 


27590 


5799 


25568 


2484 


23316 


8638 


20856 


4203 


7 


27571 


5869 


25546 


2549 


23293 


8696 


20831 


4256 


8 


27552 


5938 


25525 


2613 


23269 


8755 


20805 


4308 


9 


27533 


6008 


25503 


2677 


23246 


8813 


20780 


4361 


10 


27514 


6077 


25482 


2741 


23222 


8872 


20754 


4413 


11 


27495 


6146 


25460 


2805 


23198 


8930 


20728 


4465 


12 


27476 


6215 


25439 


2869 


23174 


8989 


20703 


4518 


13 


27456 


6284 


25417 


2933 


23151 


9047 


20677 


4570 


14 


27437 


6353 


25396 


2997 


23127 


9106 


20652 


4622 


15 


27418 


6422 


25374 


3061 


23103 


9164 


20626 


4674 


16 


27399 


6491 


25352 


3125 


23079 


9222 


20600 


4726 


17 


27379 


6559 


25331 


3188 


23055 


9280 


20574 


4778 


18 


27360 


6628 


25309 


3252 


23032 


9338 


20549 


4830 


19 


27340 


6696 


25288 


3315 


23008 


9396 


20523 


4881 


20 


27321 


6765 


25266 


3379 


22984 


9454 


20497 


4933 


21 


27302 


6833 


25244 


3442 


22960 


9512 


20471 


4984 


22 


27282 


6902 


25222 


3506 


22936 


9570 


20445 


5036 


23 


27263 


6970 


25201 


3569 


22912 


9628 


20419 


5087 


24 


27243 


7039 


25179 


3633 


22888 


9685 


20393 


5139 


• 25 


27224 


7107 


25157 


3696 


22864 


9743 


20367 


5190 


2(5 


27204 


7175 


25135 


3759 


22840 


9801 


20341 


5241 


27 


27185 


7244 


25113 


3823 


22816 


9858 


20315 


5293 


28 


27165 


7312 


25092 


3886 


22792 


991(5 


20289 


5344 


29 


27146 


7380 


25070 


3949 


22768 


6.9973 


20263 


5395 


30 


27126 


7448 


25048 


4012 


22744 


7.0031 


20237 


5446 


31 


27106 


7516 


25026 


4075 


22720 


0088 


20211. 


5497 


32 


27087 


7584 


25004 


4138 


22696 


0146 


20185 


5548 


33 


27067 


7652 


24982 


4201 


22671 


0203 


20158 


5599 


34 


27048 


7720 


24960 


4264 


22647 


0260 


20132 


5649 


35 


27028 


7788 


24938 


4327 


22623 


0317 


20106 


5700 


315 


27008 


7856 


24916 


4390 


22599 


0374 


20080 


5750 


37 


26988 


7924 


24894 


4452 


22575 


0431 


20054 


5801 


38 


26969 


7992 


24872 


4515 


22550 


0488 


20027 


5851 


39 


26949 


8059 


24850 


4577 


22526 


0544 


20001 


5902 


40 


26929 


8127 


24828 


4640 


22502 


0601 


19975 


5952 


41 


2(5909 


8195 


24806 


4702 


22478 


0657 


19949 


6002 


42 


26889 


8262 


24784 


4765 


22453 


0714 


19923 


6053 


43 


26870 


8330 


24761 


4827 


22429 


0770 


19896 


6103 


44 


26850 


8397 


24739 


4889 


22404 


0827 


19870 


6153 


45 


26830 


8465 


24717 


4951 


22330 


0883 


. 19844 


6203 


46 


26810 


8532 


24(595 


5013 


22356 


0939 


19818 


(525:} 


47 


26790 


8600 


24672 


5075 


22331 


0995 


19791 


6303 


48 


26770 


8667 


24650 


5137 


22307 


1051 


19765 


6353 


49 


2(5750 


8735 


24627 


5199 


22282 


1107 


19738 


6402 


50 


+.26730 


+5.8802 


+.24605 


+8.E261 


+.22253 


+7.11(3 


+.19712 


+7.6152 



The last term is used when the Argument exceeds 3400. 

but the sign of B 



When the Argument is negative the sign of Aq must be reversed, 



remains the same. 



GENERAL TABLES. 



29 







TABLE XII.— The Quantities A a and B 


^.— 1S50.0, 










Argument = Arg. Ill + d' + day of year- 


d 
-6798.39.** 








2400 


2500 


2600 


2700 


A Q 


ft 


A Q 


B Q 


A a 


B a 


\Q 


B Q 


50 


+.26730 


// 

+5.8802 


+.24605 


+6.5261 


+22258 


+7.1163 


+.19712 


+7.6452 


51 


26710 


8869 


24583 


5323 


22233 


1219 


19686 


6502 


52 


26690 


8937 


24560 


5385 


22209 


1275 


19659 


6f51 


53 


26669 


9004 


24538 


5447 


22184 


1331 


19633 


6601 


54 


26649 


9071 


24515 


5508 


22160 


1386 


19606 


6650 


55 


26629 


9138 


24493 


5570 


22135 


1442 


19580 


6700 


56 


26609 


9205 


24470 


5632 


22110 


1498 


19553 


6749 


57 


26589 


9272 


24448 


5693 


22086 


1553 


19527 


6799 


58 


26568 


9339 


24425 


5755 


22061 


1609 


19500 


6848 


59 


26548 


9405 


24403 


5816 


22037 


1664 


19474 


6897 


60 


26528 


9472 


24380 


5878 


22012 


1720 


19447 


6946 


61 


26508 


9539 


24357 


5939 


21987 


1775 


19420 


6995 


62 


26487 


9605 


24335 


6001 


21962 


1831 


19394 


7044 


63 


26467 


9672 


24312 


6062 


21938 


1886 


19367 


7093 


64 


26446 


9738 


24290 


6123 


21913 


1941 


19341 


7141 


65 


26426 


9805 


24267 


6184 


21888 


1996 


19314 


7190 


1 66 


26405 


9871 


24244 


6245 


21863 


2C51 


19287 


7238 


67 


26385 


5.9938 


24221 


6306 


21838 


2106 


19260 


7287 


68 


26364 


6.0004 


24199 


6367 


21814 


2161 


19234 


7335 


69 


26344 


0070 


24176 


6427 


21789 


2216 


19207 


7384 


) 70 


26323 


0136 


24153 


6488 


21764 


2271 


19180 


7432 


71 


26302 


0202 


24130 


6549 


21739 


2326 


19153 


7480 


72 
73 


26282 
26261 


0268 
0334 


24107 

24C85 


6609 
6670 


21714 

21689 


2380 
2435 


19126 
19100 


7529 

7577 


74 


26241 


0400 


24062 


6730 


21664 


2489 


19073 


76^5 


75 


26220 


0466 


24039 


6791 


21639 


2544 


19046 


7673 


76 


26199 


0532 


24016 


6851 


21614 


2598 


19019 


7721 


77 


26178 


0598 


23993 


6912 


21589 


2653 


18992 


7769 


i 78 


26158 


0664 


23970 


6972 


21564 


2707 


18966 


7817 


79 

j 


26137 


0729 


23947 


7033 


21539 


2761 


18939 


7864 


i 80 


26116 


0795 


23921 


7093 


21514 


2815 


18912 


7912 


81 


26095 


086 J 


23901 


7153 


21489 


2869 


188--5 


7960 


82 


26074 


0926 


23878 


7213 


21464 


2923 


18858 


8CG7 


83 


26054 


C992 


23854 


7273 


21438 


2977 


18831 


8055 


84 


26033 


1057 


23831 


7333 


21413 


3031 


18804 


8102 


85 


26012 


1123 


23808 


7293 


21388 


3085 


18777 


8150 


86 


25991 


1188 


23785 


7453 


21363 


3139 


18750 


8197 


87 


25970 


1254 


23762 


7513 


21333 


3 193 


18723 


8245 


i 88 


25949 


1319 


23738 


7573 


21312 


3247 


18696 


8292 


89 


25928 


1384 


23715 


7632 


21287 


33C0 


18669 


8339 


90 


25907 


1449 


23692 


7692 


21262 


3354 


18642 


8386 


9] 


5,5886 


1514 


23669 


7751 


21237 


3407 


18615 


8433 


92 


25865 


1579 


23645 


7811 


21212 


3461 


18588 


8480 


1 93 


25844 


1644 


23622 


7870 


21186 


3514 


18561 


8527 


94 


25823 


1709 


23598 


7930 


21161 


3568 


18534 


8573 


95 


25S02 


1774 


23575 


7989 


21136 


3621 


18507 


8620 


i 96 


25781 


1839 


23552 


8048 


21111 


3674 


18480 


8666 


97 


25760 


1904 


23528 


8108 


21085 


3728 


18453 


8713 


' 98 


25738 


1969 


235C5 


8167 


21060 


3781 


18425 


8759 


\ 99 


25717 


2033 


23431 


8226 


21034 


3834 


18398 


8806 


'| 100 

r - 


+.25696 


+3.2098 


+.23458 


+6.8285 


+.21009 


+7.3387 


+.18371 


+7.8852 


STU^ l„. 



















rhc last term is used when Ihe Argument exceeds 3400. When the Argument is negative the 



but the sign of 13^ remains the same. 



ign of Af , must be reversed, 



30 




< 


GENERAL TABLES. 












TABLE III.— The 


Quantities Aq anil B 


^.—1850.0 












Argument = Arg. Ill + d' + day of year — 6 


d 
798.39.* 










2S00 j 


2900 


3000 


3100 







A a 


B n | 


A Q 


B .Q 


A a 


" B a 


A n 


B Q 




+.18371 


" 1 
+7.8852 


+.15567 


+8.3135 


+.12622 


+8.6694 


+.09562 


+8.9495 




1 


18344 


8893 


15538 


3174 


12o92 


6726 


09531 


9519 




2 


18316 


8945' 


15509 


3213 


12562 


6757 


09500 


9542 




3 


18289 


8991 


15481 


3252 


12531 


6789 


09468 


9566 




4 


18261 


9037 


15452 


3291 


12501 


6820 


09437 
j 09406 


9590 




5 


18234 


9083 


15423 


3330 


12471 


6852 


9814 




6 


18207 


9129 


15394 


3369 


12441 


6883 


09375 


9838 




7 


18179 


9175 


15365 


3408 


12411 


6915 


09344 


9661 




8 


18152 


9221 


15337 


3447 


12380 


6946 


09312 
09281 


9685 




9 


18124 


9266 


15308 


3485 


12350 


6977 


9708 




10 


18097 


9312 


15279 


3524 


12320 


7008 


09250 


9732 




11 


18070 


9357 


15250 


3562 


12290 


7039 


09219 


9755 




12 


18042 


9403 


15221 


3601 


12260 


7070 


09188 


9779 




13 


18015 


9448 


15192 


3639 


12229 


7101 


09156 


9302 




14 


17987 


9494 


15163 


3678 


12199 


7131 


09125 


9825 




15 


17960 


9539 


15134 


3716 


12169 


7162 


09094 


9848 




1G 


17932 


9584 


15104 


3754 


12139 


7193 


09063 


9871 




17 


17905 


9629 


15076 


3792 


12109 


7223 


09032 


9894 




18 


17877 


9674 


15047 


3830 


12079 


7254 


09000 


9917 




19 


17850 


9719 


15018 


3868 


12049 


7284 


08969 


9939 




20 


17822 


9764 


14989 


3906 


12018 


7315 


08938 


9932 




21 


17794 


9809 


14960 


3944 


1J938 


7345 


08907 


8.9934 




22 


17767 


9854 


14931 


3931 


11957 


7376 


08876 


9.0007 




23 


17739 


9899 


14901 


4019 


11927 


7406 


03844 


0029 




24 


17712 


9943 


14872 


4056 


11896 


7436 


08813 


0052 




25 


17684 


7.9938 


14843 


4094 


11866 


7466 


08782 


0074 




26 


17653 


8.0032 


14814 


4131 


11836 


7496 


08751 


0096 




27 


17629 


0077 


14785 


4169 


11805 


7526 


08719 


0118 




28 


17601 


0121 


14755 


4206 


1 1775 


7556 


08688 


0140 




29 


17574 


0166 


14726 


4243 


11744 


7585 


08656 


0162 




30 


17546 


0210 


14697 


4280 


11714 


7615 


08625 


0184 




31 


17518 


0254 


14668 


4317 


11684 


7644 


08594 
08562 


0206 




33 


17490 


0298 


14639 


4354 


11653 


7674 


0227 




33 


1746 5 


0342 


14609 


4391 


11623 


7703 


08531 


0249 




34 


17435 


0386 


14580 


4428 


11592 


7733 


08499 


0270 




35 


17407 


0430 


14551 


4465 


11562 


7762 


08468 


0292 




33 


17379 


0474 


14522 


4502 


11532 


7791 


08437 


0313 




37 


17351 


0518 


14493 


4538 


11501 


7820 


08405 


0335 




33 


17324 


0562 


14463 


4575 


11471 


7849 


08374 


0356 




39 


17296 


0605 


14434 


4611 


11440 


7878 


08342 


0377 




40 


17268 


C649 


14405 


4648 


11410 


7907 


08311 


0398 




41 


17240 


0692 


14376 


4684 


11380 


7936 


08280 


0419 




42 


17212 


0736 


14346 


4721 


11349 


7984 


08248 


0440 




43 


17184 


0779 


14317 


4757 


, 11319 


7993 


08217 


0461 




44 


17156 


0823 


14287 


4793 


11288 


8021 


08185 


0481 




45 


17123 


0866 


14258 


4829 


11258 


8050 


08154 


0502 




46 


17100 


0909 


14229 


4865 


11227 


8078 


08123 


0522 




47 


17072 


0952 


14199 


4901 


11197 


8107 


08091 


0542 




48 


17044 


0995 


14170 


4937 


11163 


8135 


08060 


0583 




49 


17016 


1038 


14140 


4972 


11138 


8163 


08023 


0584 




50 


+.16983 


+8.1031 


+.14111 


+8.5008 


+.11105 


+3.8191 


+.07997 


+9.0604 





* The last term is used when the Argument exceeds 3430. When the Argument is negative the sign of A q must be reversed, 

but the sign of Bq remains the same. 



GENERAL TABLES. 



31 







TABLE III.— The Quantities A Q and B 


1 — 1850.0 










Argument = Arg. Ill + d' + day of year— 


6798 39.* 








2800 


2900 


3000 


3100 




A a 


B Q 


| *Q 


B Q 


A a 


B Q 


A Q 


B a 


50 


+.16988 


II 

+8.1081 


+.14111 


+8.5008 


+.11105 


+8.8191 


+.07997 


+9.0604 


51 


16960 


1124 


14082 


5043 


11074 


8219 


07966 


0624 


52 


16932 


1166 


14052 


5079 


11044 


8247 


07934 


0644 


53 


16904 


1209 


14023 


5114 


11013 


8275 


07903 


0664 


54 


16876 


1251 


13993 


5150 


10983 


8302 


07871 


0684 


55 


16848 


1294 


13964 


5185 


10952 


8330 


07840 


0704 


56 


16820 


1336 


13934 


5220 


10921 


8357 


07808 


0724 


i 57 


16792 


1379 


13905 


5255 


10891 


8385 


07777 


0743 


58 


16763 


1421 


13*75 


5290 


10860 


8412 


07745 


0763 


, 59 


16735 


1464 


13846 


5325 


10830 


8440 


07714 


0782 


60 


16707 


1506 


13816 


5360 


10799 


8467 


07682 


0802 


61 


16679 


1548 


13786 


5395 


10768 


S494 


07650 


0321 


62 


16651 


1590 


13757 


5429 


10737 


8521 


07619 


0841 


63 


16622 


1632 


13727 


5464 


10707 


8548 


07587 


0861 


64 


16594 


1674 


13698 


5493 


10676 


8575 


07556 


0879 


!" 65 


16566 


1716 


13668 


5533 


10645 


8602 


07524 


0898 


66 


16538 


3758 


13633 


5567 


10614 


8629 


07492 


0917 


67 


16509 


1799 


13609 


5602 


10583 


8655 


07461 


0936 


68 


16481 


1841 


13579 


5636 


10553 


8682 


07429 


0955 


69 


16452 


1882 


13550 


5671 


10522 


8708 


07398 


0973 


70 


16424 


1924 


13520 


5705 


10491 


8735 , 


07366 


0992 


! 71 


16396 


1965 


13490 


5739 


10460 


8761 


07334 


1010 


72 


16367 


2007 


13460 


5773 


10429 


8788 


07303 


1029 


73 


16339 


2048 


13431 


5807 


10399 


8814 


07271 


1047 


74 


16310 


2089 


13401 


5841 


10368 


8841 


07240 


1066 


75 


16282 


2130 


13371 


5875 


10337 


8367 


07208 


1034 


76 


16254 


2171 


13341 


5909 


10306 


8893 


07176 


1102 


77 


16225 


2212 


13311 


5942 


10275 


8919 


07145 


1120 


78 


16197 


2253 


13282 


5976 


10244 


8945 


07113 


1138 


\ 79 


16168 


2294 


13252 


6009 


10213 


8971 


07082 


1156 


80 


16140 


2335 


13222 


6043 


10182 


8997 


07050 


1174 


81 


16111 


2376 


13192 


6076 


10151 


9023 


07018 


1192 


82 


16083 


2416 


13162 


6110 


10120 


9043 


06936 


1209 


83 


16054 


2457 


13133 


6143 


10089 


9074 


06955 


1227 


84 


16026 


2497 


13103 


6176 


10053 


9099 


06923 


1244 | 


85 


15997 


2538 


13073 


6209 


10027 


9125 


06891 


1262 ! 


86 


15968 


2578 


13043 


6242 


09996 


9150 


06859 


1279 


87 


15940 


2619 


13013 


6275 


09965 


9176 


06827 


1297 j 


i 88 


15911 


2659 


12983 


6308 


09934 


9201 


06796 


1314 1 


89 


15883 


2699 


12953 


6340 


09903 


9226 


06764 


1331 1 


90 


15854 


2739 


12923 


6373 


09872 


9251 


06732 


1348 


91 


15825 


2779 


12893 


6405 


03841 


9276 


06700 


1365 


92 


15797 


2819 


12863 


6433 


09810 


9300 


06663 


1382 


i 93 


15768 


2859 


12333 


6470 


09779 


9325 


06637 


1399 ; 


f 94 


15740 


2898 


12803 


6503 


09748 


9349 


06305 


1415 ) 


j 95 


15711 


2938 


12773 


6535 


09717 


9374 


06573 


1432 i 


96 

! 97 


15682 


2977 


12743 


6567 


09686 


9393 


06541 


1448 i 


15653 


3017 


12713 


6599 


09655 


9423 


06509 


1465 


98 


15625 


3056 


12632 


6631 


09624 


9447 


06478 


1431 


99 


15596 


3096 


12652 


6362 


09593 


9471 


06446 


1493 


100 


+.15567 


+8.3135 


+.12622 


+8.6694 


+.09562 


+8.9495 


+.06414 


+9.1514 



term is used when the Argument exceeds 3400. When the Argument is negative the sig 
but the sign of Bq remains the same. 



n of Aq must be reversed, 



32 






GENERAL TABLES. 












TABLE XII— The Quantities A Q and B Q 


.—1850.0. 










Argument = Arg. Ill + d' 


d 
+ day of year— 6798.39.* 








3200 


3300 




3200 


3300 




A ^ 


B «- 


A Q 


B a 




A Q 


B Q 


A a 


B .Q 






// 




a 






// 




II 





+.06414 


+9.1514 


+.03208 


+9.2730 


50 


+.04816 


+9.2223 


+.01592 


+9.3033 


i 


06382 


1530 


03176 


2738 


51 


04784 


2235 


01560 


3037 


2 


06350 


1546 


03144 


2740 


52 


04752 


2247 


01527 


3041 


3 


06319 


1562 


03111 


2754 


53 


04720 


2259 


01495 


3045 


4 


06287 


1578 


03079 


2761 


54 


04688 


2271 


01462 


3048 


5 


06255 


1594 


03047 


2769 


55 


04656 


2283 


01430 


3052 


6 


06223 


1610 


03015 


2776 


56 


04624 


2295 


01393 


3055 


7 


06191 


1625 


02983 


2784 


57 


04592 


2306 


01365 


3059 


8 


06160 


1641 


02950 


2791 


58 


04560 


.2318 


01333 


3062 


9 


06128 


1656 


02918 


2799 


59 


04528 


2329 


01300 


3066 


10 


06096 


1672 


02886 


2806 


60 


04496 


2341 


01268 


3069 


11 


06064 


1687 


02854 


2813 


61 


' 04464 


2352 


01236 


3072 


12 


06032 


1703 


02821 


2820 


62 


04432 


2364 


01203 


3075 


13 


06000 


1718 


02789 


2827 


63 


04399 


2375 


01171 


3078 


14 


05968 


1733 


02756 


2834 


64 


04367 


2386 


01138 


3081 


15 


05936 


1748 


02724 


2841 


65 


04335 


2397 


01106 
01074 
01041 


3081 


16 


05904 


1763 


02692 


2848 


66 


04303 


2408 


3087 


17 


05872 


1778 


02660 


2854 


67 


04271 


2419 


3089 


18 


05840 


1793 


02627 


2861 


68 


04238 


2430 


01009 


3092 


19 


05808 


1807 


02595 


2868 


69 


04206 


2440 


00976 


3094 


20 


05776 


1822 


02563 


2875 


70 


04174 


2451 


00944 


3097 


21 


05744 


1836 


02531 


2881 


71 


04142 


2461 


00912 


3099 


22 


05712 


1851 


02493 


2888 


72 


04110 


2472 


i 00879 


3101 


23 


05680 


1865 


02466 


2894 


73 


04077 


2482 


00847 


3103 


24 


05648 


1879 


02433 


2901 


74 


04045 


2492 


00814 


3105 


25 


05616 


1893 


02401 


2907 


75 


04013 


2502 


00782 


3107 


26 


05584 


1907 


02369 


2913 


76 


03981 


2512 


00750 


3109 


27 


05552 


1921 


02336 


29J9 


77 


03949 


2522 


00717 


3110 


28 


05520 


1935 


02304 


2925 


78 


03916 


2532 


00685 


3112 


29 


05488 


1949 


02271 


2931 


79 


03884 


2542 


00652 


3113 


30 


05456 


1963 


02239 


2937 


80 


03852 


2552 


00620 


3115 


31 


05424 


1977 


02207 


2942 


81 


03820 


2562 


00588 


3116 


32 


05392 


1990 


02175 


2948 


82 


03788 


2571 


0C555 


3118 


33 


05360 


2004 


02142 


2953 


83 


03755 


2581 


00523 


3119 


34 


05328 


2017 


02110 


2959 


84 


03723 


2590 


00490 


3120 


35 


05296 


2031 


02078 


2964 


85 


03691 


2600 


00458 


3121 


36 


05264 


2044 


02046 


2969 


86 


03659 


2609 


00426 


3122 


37 


05232 


2058 


02013 


2974 


87 


03627 


2619 


00393 


3123 


38 


05200 


2071 


01981 


2979 


88 


03594 


2628 


00361 


3124 


39 


05168 


2084 


01948 


2984 


89 


03562 


2637 


00328 


3125 


40 


05136 


2097 


01916 


2989 


90 


03530 


2646 


00296 


3126 


41 


05104 


2110 


01884 


2994 


91 


03498 


2655 


00264 


3127 


42 


05072 


2123 


01851 


2993 


92 


03466 


2663 


00231 


3127 


43 


05040 


2136 


01819 


3003 


93 


03433 


2672 


00199 


3128 


44 


05008 


2148 


01786 


3007 


94 


03401 


2680 


00166 


3128 


45 


04976 


2161 


01754 


3012 


95 


033C9 


2689 


00134 


3129 


46 


04944 


2173 


01722 


3016 


96 


03337 


2697 


00102 


3:29 


47 


04912 


2186 


01689 


3021 


97 


03305 


2706 


00069 


3130 


48 


04880 


2198 


01657 


3025 


98 


03272 


2714 


00037 


3130 


49 


04848 


2211 


01624 


3029 


99 


03240 


2722 


+.00004 


3130 


50 


+.04816 


+9.2223 


+.01592 


+9.3033 

1 


100 


+.03208 


+9.2730 

i 


— .00028 


+9.3130 



The hist term is used when the Argument exceeds 3400. When the Argument is negative the sign of An must be reversed, 

but the sign of Bq remains the same. 



GENERAL TABLES. 



33 



TABLE XIII.— Secular Variation of A^ and Bq. 




6Aq= — 0.00031 sin Q. 6 B^ = — 0".0009 cos & — 0".0001 cos 2 Q. 




Argument = Arg. Ill -J- d 1 + clay of year — G798.4.* 




Arg, 


' A fl 


6B Q 


Arg. 


6A a 


* B Cl 


Arg. 


dA a 


<5B Q j Arg. 


6A Q 


6B n 





+.00000 


-10 


900 


+.00023 


— 6 


1800 


+.00031 


+ 2 


2700 


+.00019 


+ 7 


100 


03 


10 1000 


25 


o 


1900 


31 


3 


2800 


16 


8 


200 


06 


10 


1100 


26 


4 


2000 


30 


3 


2900 


14 


8 


300 


08 


10 


1200 


28 


3 


2100 


29 


4 


3000 


11 


8 


400 


11 


9 


1300 


29 


3 


2200 


23 


5 


3100 


08 


8 


500 


14 


9 


1400 


30 


2 


2300 


26 


5 


3200 


06 


8 


600 


16 


8 


1500 


31 


— 1 


2400 


25 


6 


3300 


03 


8 


700 


19 


8 


1600 


31 





2500 


23 


6 


3400 


+.00000 


+ 8 


800 


+.00021 


— 7 


1700 


+.00031 


+ 1 


2600 


+.00021 


+ 7 








When the Argument is negative the sign of 6 An must be reversed, but the sign of t5 Bq 


remains 


the same. 




TABLE XIV.— Eq and its Secular Variation.— 1850.0. 




Eq = — 0".0035 sin 2 0. 6 Eq = + 0".0005 sin 2 0. 




Argument = Arg I -4- d' + Sec. In. -f- day of year. 




Arg. 


E o 


<5E 


Arg. 


Eq 


<5Eq 1 Arg. 


E o 


<*% 


Arg. 


E o 


JE © 





II 

+0.0010 


— 2 


100 


// 
—0.0021 


+ 3 


200 


+0.0027 


— 4 


300 


—0.0032 


+ 5 


1 To 


21 


3 


110 


29 


4 


210 


33 


5 


310 


0035 


5 


20 


29 


4 


120 


34 


5 


220 


35 


5 


320 


0034 


5 


i 30 


34 


5 


130 


35 


5 


230 


33 


5 


330 


0029 


4 


40 


35 


5 


140 


32 


5 


240 


28 


4 


340 


0020 


3 


50 


31 


4 150 


25 


4 


250 


20 


3 


350 


—0.0009 


+ 1 


60 


23 


3 160 


15 


2 


260 


+0-0009 


— 1 


360 


+0.0004 


— 1 


70 


13 


— 2 170 


—0.0004 


+ 1 


270 


—0.0003 





370 


+0.0016 


— 2 


80 


+0.0001 


180 


+0.0007 


— 1 280 


15 


+ 2 








90 


—0.0011 


+ 2 190 


+0.0018 


— 3 290 


—0.0025 


+ 4 








TABLE XV.— E^ and its Secular Variation— 1850.0. 




Eq = — 0".0483 sin Q + 0".00I5 sin 2 Q. c5 E^ = + 0".0069 sin & -0".0001 sin 2 £ 
* Argument = Arg. Ill + d' + day of year — 6798.4.* 


i. 




Arg. 


E a 


SE Q 


Arg 


B n 


6E a 


Arg. 


E a 


* E Q 


Arg. 


E a 


SE Q 


' 


II 

+0.0000 


— 900 


+0.0342 


—50 


1800 


+0.0484 


—69 


2700 


+0.0305 


—43 


100 


42 


6 1000 


371 


54 


1900 


480 


68 


2800 


2(57 


37 


\ 200 


83 


12 1100 


397 


58 


2000 


472 


67 


2900 


227 


32 


300 


124 


18 


1200 


420 


61 


2100 


460 


65 


3000 


184 


26 


400 


164 


24 


1300 


440 


64 


2200 


444 


63 


3100 


140 


19 


i] 500 


203 


30 


1400 


457 


(56 


2300 


424 


60 


3200 


94 


13 


600 


241 


35 


1500 


469 


67 


2400 


400 


56 


3300 


47 


7 


f 700 


277 


41 


1600 


478 


69 


2500 


372 


52 


3400 


+0.0000 


— 


! 800 


+0.0311 


—46 


1700 


+0.0483 


—69 


2600 


+0.0340 


—48 








When the argument is negative the signs of the quantities in this table must be reversed. 




(JAr>, cJB , (5E^ and 6 E r , are to be. multiplied by t ,y,)() # Thclastthreoareinur.itsofthefourth 
60 66 \z) 6<J * 1U0 


decimal. 

i 




3 




*T1 


e last term is 


used wh 


en the A 


•gument excet 


>ds 3400. 

i 









34 



GENERAL TABLES. 









TABLE XVI 
















Argument IV, 


for terms in A and B, depending on 2 


<£: 










Argument V, 


for terms in A, depending on 


<[-r. 










For Washington Mean Noon of Jan. 


in common years, 


Jan. 1 in 


oissextile 


years. 


Year. 


IV. 


V. j Year. 


IV. 


V. 


Year. 


IV. 


V. 
























J,f ultlnlps 




d 


d 




d 


d 




d 


d 


of 


iho Period 


1750 


0.849 


15.33 


18C0 


12.033 


8.66 


1850 


9.555 


1.99 


of Arg. IV. 


1751 


10.669 


22.12 


1801 


8.191 


15.45 


1851 


5.714 


8.78 






1752 B 


7.827 


2.35 
9.14 


1802 
1803 


4.350 


22.24 


1852B 


2.872 


16.57 






1753 


3] 986 


0.509 


L47 


1853 


12.692 


23.36 




d 


1754 


0.145 


15.93 


1804B 


11.328 


9.27 


1854 


8.851 


2.60 


1 


13.661 






1 












2 


27.322 


1755 


9.964 


22.72 1 1805 


7.487 


16.06 


1855 


5.009 


9.39 


3 


40.982 


1756 B 


7.123 


2 96 j 1806 


3.645 


22.85 


1856B 


2.168 


17.18 


4 


54.643 


1757 


3.281 


9.75 | 1807 


13.465 


2 08 


1857 


11.987 


23.97 


5 


63.301 


1758 


13.101 


16.54 1808 B 


10.623 


9.87 


1858 


8.146 


3.21 


6 


81.965 


1759 


9.259 


23.33 1,1809 


6.782 


'16.66 


1859 


4.305 


10.00 


7 
8 


95.626 
109.286 


1760 B 


6.418 


3.57 [ 1810 


2.941 


23.46 


1860 B 


1.463 


17.79 


9 


122.947 


1761 


2.577 


10.36 [ 1811 


12.760 


2.69 


1861 


11.283 


24.58 


10 


136.608 


1762 


12.396 


17.15 


1812 B 


9.919 


10.48 


1862 


7.441 


3.81 


11 


150.269 


1763 


8.555 


23.94 


1813 


6.077 


17.27 


1863 


3.600 


10.61 


12 


163.929 


1764 B 


5.713 


4.18 


1814 


2.236 


24.06 


1864 B 


0.759 


18.40 


13 
14 


177.590 
191.251 


1765 


1.872 


10.97 j 1815 


12.055 


3.30 


1865 


10.578 


25.19 


15 


204.912 


1766 


11.692 


17.76 I 1816 B 


9.214 


11.09 


1866 


6.737 


4.42 


16 


218.573 


1767 


7.850 


24.55 J817 


5.373 


17.88 


1867 


2.895 


11.21 


17 


232.233 


1768 B 


5.009 


4.79 1818 


1.531 


24.67 


1868 B 


0.054 


1901 


18 


245.894 


1769 


1.167 


11.58 [ 1819 


11.351 


3.91 


1869 


9.873 


25.80 


19 
20 


259.555 
273.216 


1770 


10.987 


18.37 I 1820 B 


8.509 


11.70 


1870 


6.032 


5.03 


21 


286.877 


1771 


7.146 


25.36 I 1821 


4.668 


18.49 


1871 


2.191 


11.82 


22 


300.537 


1772 B 


4.304 


5.40 J 1822 


0.827 


25.28 


1872B 


13.010 


19.61 


23 


314.198 


1773 


0.463 


12.19 I 1823 


10.646 


4.52 


1873 


9.169 


26.40 


24 


327.859 


1774 


10.282 


18.98 S 1824 B 


7.805 


12.31 


1874 


5.327 


5.64 


25 

26 


341.520 
355.181 


1775 


6441 


25.77 I 1825 


3 964 


19.10 


1875 


1.486 


12.43 


27 


333.841 


1776 B 
1777 


3.600 
13 419 


6.00 | 1826 
12.80 H 1827 


0.122 
9.942 


25.89 
5.13 


1876 B 

1377 


12.306 
8.464 


20.22 
27.01 






Multiples 


1778 


9.578 


19 59 1828 B 


7.100 


12.92 


1878 


4.623 


6.25 


of 


tiivj Period 


1779 
1780 B 


5.736 

2.895 


26.38 
6.61 


1829 
1830 


3.259 

13.078 


19.71 

26.50 


1879 

1830 B 


0.781 
11.601 


13.04 

20.83 





f Arg. V. 


1 


d 

27.55 ' 


178! 


12.7 i 4 


13.40 


1831 


9.237 


5.74 


1881 


7.760 


0.07 


2 


55.11 


1782 


8.873 


20.19 


1832B 


6.306 


13.53 


1882 


3.918 


6.86 


» 3 


82.66 


1733 


5.032 


. 26.99 


1833 


2.554 


20.32 


1883 


0.077 


13.65 


4 


110.22 


1784 B 


2.190 


7.22 


1834 


12.374 


27.11 


1884 B 


10.896 


21.44 


5 

6 


137.77 
165.33 


1785 


12.010 


14.01 


1835 


8.532 


6.34 


1885 


7.055 


0.68 


7 


192.88 


1786 


8.1G8 


20.80 


1836 B 


5.691 


14.13 


1886 


3.214 


7.47 


8 


2i0.44 


1787 


4.327 


27.59 


1837 


1.850 


20.93 


1887 


13 033 


14.26 


9 


217.99 


1788 B 


1.486 


7.83 


1838 


11.639 


0.16 


1888B 


10.192 


22.05 


10 


275.55 


1789 


11.305 


14.62 


1839 


7.828 


6.95 


1889 


6.350 


1.29 


11 
12 


303.10 
330.65 


1790 


7.464 


21.41 


1840 B 


4.986 


14.74 


1890 


2.5C9 


8.08 


13 


358.21 


1791 


3.622 


0.65 


1841 


1.145 


21.53 


1891 


12.3,8 


14.87 


14 


335 76 


1792 B 


0.781 


8.44 


1842 


10.964 


0.77 


J892B 


9.487 


22.66 






1793 


10.601 


15.23 


1843 


7.123 


7.56 


1893 


5.646 


1 89 






1794 


6.759 


22.02 


1844 B 


4.282 


15.35 


1894 


1.804 


8.69 






1795 


2.918 


1.26 


1845 


0.440 


22.14 


1895 


11.624 


15.48 






1796 B 


0.076 


9.05 1 1846 


10.260 


1.33 


1896B 


8.782 


23.27 






1797 


9.896 


15.84 


1847 


6.418 


8.17 


1897 


4.941 


■ 2.50 






1798 


6.055 


22.63. 


1848 B 


3.577 


15.96 


1898 


1.100 


9.29 






1799 


2.213 


J. 87 


1849 


13.397 


22.75 


1899 


10.919 


16 (.8 






"1800 

1 


12.033 


8.66 


1850 


9.555 


1.99 


1900 


7.073 


22.88 







GENERAL TABLES. 



35 









TABLEXVII.-A^B^AV 






A,r 


= — 0.00405 sin S 


\ <t . 


. ) 








<L 


a 






I Arg. = Arg. IV 4" day -f d 


' — multiple of period. 


B « 


= — 0.0886 cos 2 


<r . 


. . s 








A '« 


= -f- 0.00135 sin(<[ — T') 


. Arg. = Arg. V 4" day -f- d' 


— multiple of period. 






In units of the fifth decimal for J, and of the fourth for B. 




Arg. IV. 


A « 


B « 


Arg. IV. 


A « 


B d 


Arg. IV. 


A « 


B d 


Arg. V. 


A 'c 


0.0 


— 


—886 


4.6 


—347 


+459 


9.2 


4-359 


+410 





+ o 


0.1 


19 


835 


4.7 


337 


493 9.3 


367 


374 


1 


30 


0.2 


37 


882 


4.8 


326 


526 


9.4 


374 


335 


2 


59 


0.3 


55 


877 


4.9 


314 


558 


9.5 


381 


298 


3 


85 


0.4 


74 


870 


5.0 


302 


589 


9.6 


387 


259 


4 


106 


0.5 


92 


862 


5.1 


289 


619 


9.7 


392 


221 


5 


122 


0.G 


111 


852 


5.2 


277 


648 


9.8 


396 


180 


6 


132 


0.7 


123 


841 


5.3 


263 


675 


9.9 


400 


140 


7 


135 


0.8 


145 


827 


5.4 


248 


701 


10.0 


403 


101 


8 


130 


0.9 


163 


811 


5.5 


232 


725 


10.1 


404 


59 


9 


119 


1,0 


180 


793 


5.6 


217 


743 


10.2 


405 


+ 19 


1 


102 l 


1.1 


196 


775 


5.7 


201 


769 


10.3 


405 


— 22 


1 1 


80 


1.2 


212 


754 


5.8 


185 


788 


10.4 


404 


62 


12 


53 


1.3 


228 


732 


5.9 


168 


806 


10.5 


402 


103 


1 3 


4- 23 


1.4 


243 


707 


6.0 


151 


822 


lO.u 


400 


143 


14 


— 7 


1.5 


258 


682 


6.1 


133 


837 


10.7 


393 


183. 


1 5 


37 


1.6 


272 


657 


6.2 


116 


849 


10.8 


392 


224 


1 6 


m 


1.7 


285 


623 


6.3 


98 


859 


10.9 


387 


263 


17 


90 


1.8 


298 


593 


6.4 


79 


868 


11.0 


380 


301 


1 8 


110 


1.9 


310 


569 


6.5 


61 


875 


11.1 


374 


338 i 


19 


125 


2.0 


322 


537 


6.6 


42 


831 


11.2 


367 


376 i 


20 


134 


2.1 


333 


503 


6.7 


24 


884 


11.3 


359 


412 


21 


134 


22 


344 


470 


6.8 


— 6 


836 


11.4 


350 


449 


2 2 


129 


2.3 


353 


435 


6.9 


+ 13 


835 


11.5 


340 


483 


2 3 


116 


2.4 


332 


399 


7.0 


32 


883 


11.6 


329 


516 


2 4 


97 


2.5 


370 


362 


7.1 


49 


879 


11.7 


317 


549 


2 5 


74 


2.6 


376 


324 


7.2 


68 


873 


11.8^ 


306 


581 


26 


47 


2.7 


383 


285 


7.3 


86 


865 


11.9 


293 


610 


27 


— 17 


2.8 


389 


247 


7.4 


105 


855 


12.0 


281 


640 


2 8 


4- 1? 


29 
3.0 


394 

393 


209 
169 


7.5 

7.6 


123 

140 


844 
831 


12.1 
12.2 


267 j 
252 


667 
693 


2 9 


+ 43 




3.1 


401 


129 


7.7 


158 


815 


12.3 


237 


717 




, 3.2 


403 


88 


7.8 


175 


799 


12.4 


221 


741 




3.3 


404 


46 


7.9 


191 


781 


12.5 


206 


762 




3.4 


405 


— 6 


8.0 


207 


761 


12.6 


190 


782 




3.5 


405 


4- 35 


8.1 


223 


738 


12.7 


174 


800 




3.6 


404 


76 


8.2 


239 


715 


12.8 


156 


817 




3.7 


402 


116 


8.3 


254 


691 


12.9 


138 


833 




3.8 


399 


155 


8.4 


263 


665 


13.0 


12 L 


845 




1 ,0 
4.0 


395 


196 


8.5 


282 


637 


13.1 


104 


856 




390 


235 


8.6 


294 


607 


13.2 


85 


866 




4.1 


385 


274 


8.7 


306 


578 


13.3 


67 


873 




4.2 


378 


312 


8.8 


319 


546 


13.4 


48 


879 




4.3 


372 


350 


8.9 


330 


514 


13.5 


30 


883 




4.4 


364 


338 


9.0 


341 


480 


13.6 


4-n 


835 




1 " 


—336 


+424 


9.1 


4-350 


4-446 


13.7 


— 7 


—885 


i 



36 



GENERAL TABLES. 







TABLE XYIIL— The Quantities Log. C and Log. D 


,-1850. 








I, 


Dg. C = n 1.27312 


32 + log 


. cos ; 


Sec. Var 


. = -f 0.00004,25. 










Argument — Arg. I -f- d' -f Inequalities -f- day of year. 






1 

i 

Arg. 


0.0 


0.1 


0.2 


0.3 


0.4 


0.5 


0.6 


0.7 


0.8 


0.9 


1 




n 0.43403 


43927 


44446 


44956 


45462 


45962 


46456 


46945 


47427 


47905 


J 


.48378 


48844 


49305 


49762 


50214 


50661 


51103 


51541 


51975 


52403 


2 


.52829 


53250 


53666 


54078 


54486 


54890 


55290 


55686 


56079 


56468 


3 


.56853 


57235 


57614 


57989 


58361 


58729 


59094 


59456 


59815 


60171 


4 


.60523 


60873 


61220 


61564 


61905 


62243 


62579 


62912 


63243 


63572 


5 


n 0.63898 


64221 


64541 


64859 


65174 


65486 


65796 


66104 


66409 


66711 


6 


.67010 


67308 


67604 


67898 


68191 


68482 


68770 


69056 


69340 


69622 


7 


.69903 


70181 


70457 


70731 


71004 


71275 


71544 


71811 


72077 


72342 


8 


.72604 


72864 


73123 


73380 


73635 


73889 


74141 


74391 


74640 


74887 


9 


.75133 


75377 


75619 


75860 


76100 


76338 


76575 


76810 


77044 


77277 


10 


w 0.77508 


-.woo 

77738 


77966 


78193 


78419 


78645 


78869 


79091 


79312 


79531 


11 


.79749 


79966 


80182 


80397 


80610 


80822 


81033 


81243 


81452 


81659 


12 


.81865 


82070 


82274 


82477 


82680 


82831 


83081 


83280 


83473 


83675 


13 


.83870 


84065 


84259 


84452 


84644 


84834 


85024 


85213 


85401 


85588 


14 


.85773 


65958 


86142 


86325 


86507 


86689 


86670 


87050 


87229 


87407 


15 


n 0.87583 


87759 


87934 


88108 


88282 


88455 


88627 


88798 


88968 


89138 


16 


.89307 


89475 


89642 


89808 


89974 


90139 


90303 


90466 


90628 


90790 


17 


.90952 


91112 


91272 


91431 


91589 


91746 


91903 


92059 


92214 


92369 


18 


.92523 


92676 


92829 


92981 


93132 


93283 


93433 


93582 


93731 


93879 


19 


.94026 


94173 


94319 


94465 


94610 


94754 


94897 


95040 


95182 


95324 


20 


n 0.95466 


95607 


95747 


95886 


96025 


96163 


96301 


96438 


96574 


96710 


21 


.9(5845 


96980 


97114 


97248 


97381 


97513 


97645 


97777 


97908 


98038 


22 


.98168 


98298 


98427 


98555 


98683 


98810 


93937 


99063 


99189 


99314 


• 23 


0.99439 


99503 


99687 


99810 


99933 


: 00056 


: 00178 


: 00299 


: 00420 


: 00540 


24 


1.0C6G0 


00780 


00899 


01018 


01136 


01253 


01370 


01487 


01603 


01719 


25 


n 1.01834 


01949 


02063 


02177 


02291 


02404 


02517 


02629 


02741 


02853 


26 


.02964 


03075 


03185 


03295 


03404 


03513 


03621 


03729 


03837 


03944 


27 


.04051 


04157 


04263 


04369 


04474 


04579 


04683 


04787 


04891 


04995 


28 


.05093 


05201 


05303 


05405 


05506 


05607 


05708 


05808 


05908 


06008 


29 


.06107 


06206 


06304 


06402 


06500 


06598 


06695 


06792 


06888 


06984 


30 


77 I.O7080 


07175 


07270 


07365 


07459 


07553 


07646 


07739 


07832 


07925 


31 


.0f*0i7 


08109 


08200 


08291 


08382 


08473 


08563 


08653 


03743 


08832 


32 


.08921 


09010 


09098 


091H6 


09274 


09361 


09443 


09535 


09621 


09707 


33 


.09793 


09879 


09964 


10049 


10134 


10218 


10302 


10386 


10469 


10552 


34 


.10633 


10717 


10799 


10881 


10963 


11044 


11125 


11200 


11286 


11366 


35 


n 1.11446 


11525 


11604 


11683 


11762 


11841 


11919 


11997 


12075 


12153 


36 


.12230 


12307 


12383 


12459 


12535 


12611 


12680 


12761 


12836 


12911 


37 


.12985 


13059 


13133 


13207 


13280 


13353 


13426 


13499 


13571 


13643 


! 38 


.13715 


13786 


13857 


13928 


13999 


14070 


14140 


14210 


14230 


14349 


39 


.14418 


14487 


14556 


14624 


14692 


14760 


14828 


14896 


14963 


15030 


40 


n 1.15097 


15163 


15229 


15295 


15361 


15427 


15492 


15557 


15622 


15687 


41 


.15752 


158.16 


15880 


15944 


16007 


16070 


16133 


16196 


16259 


16321 


42 


.10383 


16445 


16507 


16568 


16629 


16690 


16751 


16812 


16872' 


16332 


43 


.16992 


17052 


17111 


17170 


17229 


17263 


17347 


17405 


17463 


17521 


44 


.17579 


17636 


17693 


17750 


17807 


17864 


17920 


17976 


18032 


18088 


45 


n 1.18144 


18199 


18254 


18309 


18364 


18419 


18473 


18527 


18581 


18635 


46 


.18689 


18742 


18795 


18848 


18901 


18953 


19005 


19057 


19109 


19161 


47 


.19213 


19264 


19315 


19366 


19417 


19468 


19518 


nms 


19618 


19668 


48 


.197 J 8 


19767 


19316 


19865 


19914 


19963 


2001 1 


20059 


20107 


20155 


49 


.20203 


202: 


20297 


20344 


20391 


20438 


20485 


20531 


20577 


20623 


50 


n 1.20669 


20715 


20760 


20805 


20850 


20895 


20940 


20985 


21029 


21073 


51 


.21117 


21101 


21205 


21248 


21-291 


21334 


21377 


21420 


21463 


21505 


52 


.21547. 


21589 


21631 


21073 


21714 


21755 


21796 


21837 


21878 


21919 


53 


.21959 


i 21999 


22039 


22079 


221 J 9 


22159 


22198 


22237 


22276 


22315 


54 


.22: 154 


! 22393 


22431 


22469 


22507 


22545 


22583 


22621 


22658 


22695 


55 


n 1.22732 


1 22709 


22806 


22843 


22879 


22915 


22951 


22937 


23023 


23053 | 

1 



GENERAL TABLES. 



37 







TABLE XVIII.— The Quantities log. C and Log. D 


.-1850. 












Log. 


D = n 1.31058,92 + log. sin 0. 













Argument = Arg. I -J- d' -f- Inequalities -f- day of 


year. 






Arg. 


0.0 


0.1 


0.2 


0.3 


0.4 


0.5 


0.6 


0.7 


0.8 


0.9 





1.30598 


30587 


30575 


30563 


30551 


30539 


30527 


30514 


30502 


30489 


i 


.30476 


30464 


30451 


30438 


30425 


30412 


30398 


30385 


30371 


30358 


2 


.30344 


30330 


30316 


30301 


30287 


30272 


30257 


30242 


30227 


30212 ! 


3 


.30 J 90 


30181 


30165 


30149 


30133 


30116 


30100 


30083 


30067 


30050 


4 


.30033 


30016 


29998 


29981 


29963 


29946 


29928 


29910 


29892 


29874. 


5 


1.29856 


29837 


29819 


29800 


29781 


29762 


29743 


29723 


29704 


29684 


G 


.296(54 


29644 


29624 


29604 


29583 


29563 


29542 


29521 


29500 


29479 


7 


.29458 


29436 


29415 


29393 


29371 


29349 


29327 


29304 


29282 


29259 


8 


.29236 


29213 


29190 


29167 


29143 


29120 


29096 


29073 


29049 


29025 


9 


.29000 


28976 


28951 


28926 


28901 


28876 


28851 


28825 


28800 


28774 


10 


1.28749 


28723 


28697 


28671 


28645 


28618 


28592 


28565 


28538 


28511 


n 


.28483 


28456 


28428 


28400 


28372 


28344 


28315 


28287 


28258 


28230 


12 


.28201 


28172 


28143 


28113 


28084 


28C54 


28025 


27995 


27965 


27934 


13 


.27903 


27873 


27842 


27811 


27780 


27748 


27717 


27685 


27654 


27622 


14 


.27590 


27558 


27525 


27493 


27460 


27427 


27394 


27360 


27327 


27794 


15 


1.27260 


27226 


27192 


27158 


27124 


27089 


27055 


27020 


26985 


26950 


16 


.26915 


26879 


26844 


26808 


26772 


26736 


26700 


26663 


26627 


26590 


17 


.26553 


26516 


26478 


26441 


26403 


26365 


26327 


26288 


26250 


26211 


18 


.26173 


26134 


26095 


26055 


26016 


25977 


25937 


25897 


25857 


25817 


19 


.25777 


25736 


25695 


25654 


25613 


25572 


25531 


25489 


25447 


25405 


20 


1.25363 


25320 


25278 


25235 


.25193 


25150 


25107 


25063 


25020 


24976 


21 


.24932 


24888 


24843 


24799 


24754 


24710 


24665 


24620 


24574 


24529 


22 


.24483 


24437 


24391 


24344 


24298 


24251 


24204 


24157 


24110 


24062 


23 


.24015 


23967 


23919 


23871 


23822 


23774 


23725 


23676 


23627 


23578 


24 


.23528 


23478 


23428 


23378 


23328 


23277 


23226 


23175 


23124 


23073 


25 


1.23022 


22970 


22918 


22866 


22814 


22762 


22709 


22656 


22603 


22549 


26 


.22496 


22442 


22388 


22334 


22280 


22226 


22171 


22116 


22061 


22006 


27 


.21951 


21895 


21839 


21783 


21727 


21670 


21613 


21556 


2.1499 


21442 


28 


.21384 


21326 


21268 


21210 


21152 


21093 


21034 


20975 


20916 


20857 


29 


.20797 


20737 


20677 


20616 


20556 


20495 


20434 


20373 


2031 1 


20249 


30 


1-20187 


20125 


20062 


20000 


19937 


19874 


19811 


19747 


19684 


19620 


31 


.19556 


19491 


19426 


19361 


19296 


19231 


19165 


19099 


.19033 


J 8967 


32 


.18901 


18834 


18767 


18700 


18633 


18565 


18497 


18429 


18360 


. 18292 


33 


.18223 


18154 


18084 


18015 


17945 


17875 


17804 


17733 


17662 


17591 


34 


.17520 


17448 


17376 


17304 


17232 


17159 


17086 


17013 


16939 


16856 


35 


1.16792 


16718 


16643 


16569 


16494 


16419 


16344 


16268 


16192 


16116 


36 


.16039 


15962 


15885 


15807 


15730 


15652 


15574 


15496 


15417 


15338 


37 


.15258 


15179 


15099 


15019 


14938 


14^57 


14776 


14695 


14613 


14531 


38 


.14449 


14367 


14284 


14201 


14118 


14034 


13950 


13866 


13781 


13697 


39 


.13612 


13527 


13441 


13355 


13269 


13182 


13095 


13007 


12920 


12832 


40 


1.12744 


12656 


12567 


12478 


12389 


12299 


12209 


12119 


12028 


11937 


1 41 


.11846 


11754 


11662 


11570 


11478 


11385 


11292 


11198 


11104 


11010 


42 


.10915 


10820 


10724 


10629 


10533 


10437 


10340 


10243 


10145 


10048 


43 


.09950 


09852 


09753 


09654 


09555 


09455 


09355 


09254 


09153 


09052 


44 


.08950 


08848 


08746 


08643 


08540 


08436 


08332 


08228 


08123 


08018 


45 


1.07912 


07806 


07700 


07593 


07486 


07379 


07271 


07163 


07054 


06946 


46 


.06836 


06726 


06616 


06505 


06394 


06283 


06171 


06058 


05945 


05832 


47 


.057 J 9 


05605 


05491 


05376 


05261 


05145 


05029 


04912 


04795 


04678 


48 


.04560 


04441 


04322 


04202 


04083 


03963 


03842 


03721 


03599 


03477 


49 


.03355 


03232 


03.108 


02984 


02860 


02735 


02610 


02484 


02358 


02231 


50 


1.02103 


01975 


01846 


01717 


01588 


01458 


01327 


01196 


01 064 


00932 


51 


1.00800 


00667 


00533 


00399 


00264 


00128 


: 99992 


: 99855 


: 99718 


: 995b i 


52 


0.99443 


99304 


99165 


99025 


98885 


98744 


98602 


98460 


98317 


98174 ! 


53 


.98030 


97885 


97740 


97594 


97448 


97301 


97153 


97004 


96855 


9671.6 I 


54 


.96556 


96405 


96253 


96101 


95948 


95795 


95641 


95486 


95330 


951 74 


55 


0.95017 


94859 


94700 


94541 


94381 


94222 


94U61 


93899 


93733 


H 



38 



GENEEAL TABLES. 







TABLE XVIII.— The Quantities Log. C and Log. » 


.-1850. 










Argument = Arg. I -J- d' -f- Inequalities + day of 


year. 






Arg. 


0.0 


0.1 


0.2 


0.3 


0.4 


0.5 


0.6 


0.7 


0.8 


0.9 


55 


n 1.22732 


22769 


22806 


22843 


22879 


22915 


22951 


22987 


23023 


23058 


56 


.23093 


23128 


23163 


23198 


23233 


23268 


23302 


23336 


23370 


23404 


57 


.23438 


23472 


23505 


23538 


23571 


23604 


23637 


23670 


23702 


23734 


58 


.23766 


23798 


23830 


23862 


23893 


23924 


23955 


23986 


24017 


24048 


59 


.24079 


24109 


24139 


24169 


24199 


24229 


24259 


24289 


24318 


24347 


60 


n 1 24376 


24405 


24434 


24463 


24491 


24519 


24547 


24575 


24603 


24631 


61 


.24658 


24685 


24712 


24739 


24766 


24793 


24820 


24846 


24872 


24898 


62 


.24924 


24950 


24976 


25002 


25027 


25052 


25077 


25102 


25127 


25152 


! 63 


.25176 


25200 


25224 


25248 


25272 


25296 


25320 


25344 


25367 


25390 


i 64 

i 


.25413 


25436 


25459 


25482 


25504 


25526 


25548 


25570 


25592 


25614 


65 


n 1.25635 


25657 


25678 


25699 


25720 


25741 


25762 


25783 


25803 


25823 


66 


.25843 


25863 


25883 


25903 


25922 


25941 


25960 


25979 


25998 


26017 


67 


.26036 


26055 


26074 


26092 


26110 


26128 


26146 


26164 


26182 


26199 


68 


.26216 


26233 


26250 


26267 


26284 


26300 


26317 


26333 


26349 


26365 


69 


.26381 


26397 


26413 


26429 


26444 


26459 


26474 


26489 


26504 


26519 


70 


n 1.26533 


26547 


26561 


26575 


26589 


26603 


26617 


26631 


26644 


26657 


71 


.26670 


26683 


26696 


26709 


26722 


26734 


26747 


26759 


26771 


26783 


72 


.26795 


26807 


26819 


26830 


26841 


26852 


26863 


26874 


26885 


26895 


73 


.26905 


26915 


26925 


26935 


26945 


26955 


26965 


26975 


26984 


26993 


74 


.27002 


27011 


27020 


27029 


27038 


27046 


27054 


27062 


27070 


27078 


75 


n 1.27086 


27094 


27102 


27 ice 


27116 


27123 


27130 


27137 


27144 


27151 


76 


.27157 


27163 


27169 


27175 


27181 


27187 


27193 


27198 


27204 


27209 


77 


.27214 


27219 


27224 


27229 


27231 


27238 


27242 


27246 


27250 


27254 


78 


.27258 


27262 


27266 


27269 


27272 


27275 


27278 


27281 


27284 


27287 


79 


.27289 


27292 


27294 


27296 


27298 


27300 


27302 


27304 


27305 


27306 


80 


n 1.27307 


27308 


27309 


27310 


27311 


2731 1 


27311 


27312 


27312 


27312 


81 


.27312 


27312 


27312 


27311 


27311 


27310 


27309 


27308 


27307 


27306 


82 


.27304 


27303 


27301 


27299 


27297 


27295 


27293 


27291 


27289 


27286 


83 


.27283 


27280 


27277 


27274 


27271 


27268 


27265 


27261 


27257 


27253 


84 


.27249 


27245 


27241 


27237 


27232 


27227 


27222 


27217 


27212 


27207 


85 


n 1.27202 


27197 


27192 


27186 


27180 


27174 


27168 


27162 


27156 


27149 


86 


.27142 


27135 


27128 


27121 


27114 


27107 


27100 


27093 


27085 


27077 


87 


.27069 


27061 


27053 


27045 


27037 


27028 


27019 


27010 


27001 


26992 


88 


.26983 


26974 


26965 


26955 


26945 


26935 


26925 


26915 


26905 


26895 


89 


.26884 


26873 


26862 


26851 


26840 


26829 


26818 


26807 


26795 


26783 


90 


n 1.26771 


26759 


26747 


26735 


26723 


26710 


26698 


26685 


26672 


26659 


91 


.26646 


26633 


26620 


26606 


26592 


26578 


26564 


26550 


26536 


26522 


92 


.26507 


26493 


26478 


26463 


26448 


26433 


26418 


26403 


26388 


28372 


93 


.26356 


26340 


26324 


26308 


26292 


26275 


26258 


26241 


26224 


26207 


94 


.26190 


26173 


26156 


26 J 39 


26121 


26103 


26085 


26067 


26049 


26031 


95 


n 1.26012 


25994 


25975 


25956 


25937 


25918 


25899 


25880 


25860 


25840 


96 


.25820 


25800 


25780 


25760 


25740 


257 J 9 


25698 


25677 


25656 


25635 


97 


.25614 


25593 


25572 


25550 


25528 


25506 


25484 


25462 


25440 


254 J 8 


98 


25395 


25372 


25349 


25326 


25303 


25280 


25257 


25234 


25210 


25186 


99 


.25162 


25138 


25114 


25090 


25065 


25040 


25015 


25990 


25965 


21940 


100 


n 1.24915 


24890 


24864 


24838 


24812 


24786 


24760 


24734 


24707 


24680 


101 


.24653 


24626 


24599 


24572 


24545 


24517 


24490 


24462 


24434 


24406 


102 


.24378 


24350 


24322 


24293 


24264 


24235 


24206 


24177 


24148 


24118 


ilia 


* .24088 


24058 


240^8 


23998 


239.68 


23938 


23908 


23877 


23846 


23815 


104 


.23784 


23753 


23722 


23690 


23658 


23626 


23594 


23562 


23530 


23498 


105 


n 1.23465 


23432 


23399 


23366 


23333 


23300 


23267 


23233 


23199 


23165 


! 106 


.23131 


23097 


23063 


23028 


22993 


22958 


22923 


22888 


22853 


22817 


i 107 


.22781 


2-2745 


22709 


22073 


22637 


22601 


22565 


2252S 


22491 


22454 


108 


.22417 


22380 


22343 


22305 


22267 


22229 


22191 


22153 


22115 


22076 


109 


.22037 


21998 


21959 


21920 


21881 


21841 


21801 


21761 


21721 


21681 


110 


n 1.21041 


21601 


21500 


21519 


21478 


21437 


21395 


21355 


21313 


21271 



GENERAL TABLES. 



39 



TABLE IYIII.— Tlie Quantities Log. C and Log B.— 1850. 

Argument = Arg. I -f- d ' -f- Inequalities -f- day of year.. 



IiO§ 



Arg. 



0.0 



0.1 



i>5 

56 
57 

58 
59 

60 
61 
62 
63 
64 

65 

66 
67 

68 
69 

70 
71 
72 
73 

74 

75 
76 

77 
78 
79 



81 
82 
83 

84 

85 
86 

87 
88 
89 

90 
91 
92 
93 

94 

95 
96 
97 
98 
99 

100 
101 
102 
103 
104 

105 
106 
107 
108 
109 
110 



0.95017 

.93408 
.91724 

.89959 

.88107 

.86159 
.84107 
.81940 
.79646 
.77212 

.74620 
.71851 
.68882 
.65681 
.62213 

.58432 
.54278 
.49672 
.44507 
.38633 

.31827 
.23742 

.13788 
0.00840 
9.82307 

9.49308 
n 8.63165 
9.59841 
9 87516 
0.04268 

n 0.16311 
.25714 
.33423 
.39954 
.45616 

n 0.50609 

.55074 
.59108 
.62784 
.66161 

n 0.69279 
.72176 

.74877 
.77407 
.79784 

n 0.82024 
.84141 

.86146 
.88050 

.89881 

n 0.91586 
.93231 

.94804 

.96309 

.97751 

n 0.99132 



0.2 



94859 
93243 
91551 

89778 
87916 

85959 
83896 
81716 
79409 
76960 

74351 
71563 
68572 
65347 
61850 

58034 
53839 
49183 
43954 

38000 

31084 | 

22843 

12654 

99308 

79931 

44066 
89324 
63552 
89517 
05634 

17349 
26551 
34123 
40556 
46142 

51077 
55496 
59491 
63134 
66484 

69578 
72455 
75137 
77651 

80014 

82241 
84346 
86341 
88235 
90037 

91754 
93392 

94958 
96456 
97892 
99267 



94700 
93077 
91377 

89596 
877.24 

85758 
83683 
81491 
79171 
76706 

74080 
71273 
68260 
65010 
61483 

57633 
53395 
48689 
43397 
37356 

30326 
21926 
11489 
97715 

77418 

38100 
05535 
66970 
91424 
06961 

18362 
27371 
34812 
41148 
46663 

51540 
55914 

59870 
63481 
66804 

69875 
72732 
75396 
77893 

80243 

82457 
84550 
86535 
88419 
90212 

91921 
93552 
95111 

96603 
98032 
99401 



0.3 



94541 
92911 
91203 
89413 

87532 

85556 
83469 
81265 
78931 
76451 

73808 
70981 
6794(5 
64670 
61113 

57228 
52947 
48188 
42828 
36703 

29556 
20989 
10293 
96061 
74754 

31171 
17312 

70136 
93255 

08245 

19352 
28176 
35490 
41733 
47177 

51998 
56327 
60246 
63826 
67122 

70170 
73007 
75653 

78134 
80470 

82672 
84753 
86728 
88602 
90387 

92087 
93711 
95263 
96749 
98172 
99535 



0.4 



94331 
92744 

91028 
89229 
87339 

85352 
83254 
81033 
78690 
76195 

73534 
70687 
67630 
64328 
60740 

56819 
52495 
47682 
42253 
36039 

28772 
20028 
09062 
94346 
71908 

22941 

26567 

73087 
95008 
09495 

20322 
28968 
36157 
42311 
47684 

52452 
56735 
60618 
64168 
67437 

70463 
73279 
75908 
78374 
80696 

82885 
84955 
86920 
88785 
90561 

92253 
93869 
95414 
90894 
9831 1 
91669 



0.5 



94222 
92576 
90852 

89044 
87146 

85147 

83039 
80810 
78448 
75937 

73259 
70393 
67313 
63983 
60365 

56407 
52038 
47169 
41671 
35365 

27974 
19048 
07795 
92556 

68870 

12768 
34192 
75849 
96697 
10708 

21269 
29742 
36813 

42879 

48187 

52901 
57140 
60987 
64507 
67750 

70754 
73549 
76162 
78614 
80920 

83097 
85157 
87110 
88967 
90734 

92418 
94026 
95565 
97038 
98449 
99802 



0.6 



0.7 



0.8 



94061 

92408 
90675 

88859 
86951 

84941 

82822 
80580 
78a04 
75677 

72982 
70096 
66993 
63635 
59986 

55989 
51575 
46649 

41080 
34630 

27158 
18046 
06490 
90694 
65600 

99466 
40676 

78448 
98322 

11887 

22195 
30504 
37460 
43441 

48682 

53345 
57542 
61353 
64843 

68061 

71042 

73818 
76414 

78851 
81144 

83308 
85357 
87300 
89148 
90908 

92582 
94183 
95715 
97182 
98586 
99934 



93899 
92239 

90497 
83673 

86755 

84734 
82604 
80349 
77959 
75416 

72703 
69796 
68670 
63284 
59603 

55567 

51107 
46123 
40481 
33984 

26329 
17019 

05148 
88743 
62062 

80200 
46317 

80901 
99885 
13038 

23101 
31253 
38098 
43995 
49173 

53784 
57940 
61716 
65176 
68369 

713-8 

74085 
76064 
79087 
81367 

83518 
85556 
87489 
89328 
91077 

92745 
94339 
95864 
97S26 
98723 
: 00166 



93736 

92069 
90318 

88483 
86553 

84528 
82384 
80116 
77712 
75153 

72421 
69494 
68344 
62029 
59216 

55141 

50634 
45591 
39874 
33277 

25484 

15968 
03759 
86700 
58216 

44700 
51303 
83215 
01397 
14156 

23939 
31989 
38728 
44543 
49657 

54219 
58334 

62075 
65507 
68675 

71612 
74351 

76913 
79321 

81588 

83727 
85754 
87677 
89507 
91247 

92907 
94495 
98013 
97469 

98860 
: 00197 



0.9 



93573 
91-397 
90139 
88297 
86359 

84317 
82163 
79882 
77465 

74888 

72137 

69189 
68U15 
62572 

54711 

50156 
45053 

39258 
32558 

24622 
14893 

02324 
84562 
53986 

n 7. 8702 

55784 
85419 
02854 
15245 

24859 
32711 
39344 

45082 
50136 

54649 
58724 
62431 
65835 
63978 

71894 
74615 

77160 
79553 

81807 

83935 
85951 
87864 
89685 
91417 

93069 
94650 
96161 
97611 
98996 
00328 



40 



GENERAL TABLES. 







TABLE XVIII — 


Ilie Quantities Log. C and Log, D 


.-1850. 










Argument = Arg. I -j- d 1 -f- Inequalities -f- day of year. 




% 


tog. C. 


Arg. 


0.0 


0.1 


0.2 


0.3 


0.4 


0.5 


0.6 


0.7 


0.8 


0.9 


110 


n 1.21641 


21601 


21560 


21519 


21478 


21437 


21396 


21355 


21313 


21271 


111 


.21229 


21187 


21145 


21102 


21059 


21016 


20973 


20930 


20887 


20843 


112 


.20799 


20755 


20711 


20667 


20623 


20579 


20535 


20490 


20445 


20400 


113 


.20355 


20310 


20264 


20218 


20172 


20126 


20080 


20033 


19986 


19939 


114 


.19892 


19845 


19798 


19751 


19703 


19655 


19607 


19559 


19511 


19462 


115 


n 1.19413 


19364 


19315 


19266 


19216 


19166 


19116 


19066 


19036 


18986 


1J6 


.18915 


18864 


18813 


18762 


18711 


18659 


18607 


18555 


18503 


18451 


117 


.lc399 


18346 


18293 


18240 


18187 


18134 


18081 


18027 


17973 


17919 


118 


.17865 


1781 1 


17756 


17701 


17646 


17591 


17536 


17480 


17424 


17368 


119 


.17312 


17258 


17199 


17142 


17085 


17028 


16971 


16913 


16855 


16797 


129 


n 1.16739 


16681 


16622 


16563 


16504 


16445 


16386 


16326 


16266 


16206 


121 


.16146 


16086 


16025 


15964 


15903 


15842 


15781 


15719 


15657 


15595 


122 


.15533 


15470 


15407 


15344 


15281 


15218 


15154 


15090 


15028 


14962 


12:3 


.14898 


14833 


14768 


14703 


14638 


14573 


14507 


14441 


14375 


14309 


124 


.14242 


14175 


14108 


14041 


13974 


13906 


13838 


13770 


13702 


13633 


125 


n 1.13564 


13495 


13426 


13357 


13287 


13217 


13147 


13076 


13005 


12934 


12a 


.12863 


12791 


12719 


12647 


12575 


12503 


12430 


12357 


12284 


12211 


127 


.12137 


12063 


11989 


11915 


11840 


11765 


11690 


11615 


11539 


11463 


128 


.11387 


11311 


11234 


11157 


11080 


11003 


10925 


10847 


10769 


10691 


12J 


.10612 


10533 


10454 


10375 


10295 


10215 


10135 


10054 


09973 


09892 


130 


n 1.09811 


09729 


09647 


09565 


09483 


09400 


09317 


09234 


09150 


09066 


131 


.08982. 


08897 


08812 


08727 


08642 


08557 


08471 


08385 


08299 


0»212 


132 


.08125 


08038 


07950 


07862 


07774 


C7635 


07596 


07507 


07418 


07328 


133 


.07238 


07148 


07057 


06966 


06875 


06783 


06691 


06599 


06507 


06414 


134 


.06321 


06228 


06134 


06040 


05946 


05851 


05756 


05660 


05564 


05468 


135 


n 1.05372 


05275 


05178 


05081 


04983 


04885 


04787 


04688 


04589 


04490 1 


136 


.04390 


04290 


04189 


04088 


03987 


03886 


03784 


03682 


03579 


03476 


137 


.03373 


03269 


03165 


03061 


02956 


02851 


02745 


02639 


02533 


02426 


138 


.02319 


02211 


02103 


01995 


01886 


01777 


01688 


01558 


01448 


01337 


139 


.01226 


01114 


01002 


00890 


00778 


00665 


00552 


00438 


00324 


00209 


140 


n 1.00094 


: 99978 


: 99862 


: 99746 


: 99629 


: 99512 


: 99394 


: 99276 


: 99157 


: 99038 


141 


0.98919 


98799 


98679 


98558 


98437 


98315 


98193 


98070 


97947 


97823 


142 


.97699 


97575 


97450 


97325 


97199 


97072 


96945 


98817 


96689 


96560 


143 


.96432 


96303 


96173 


96043 


95912 


95780 


95648 


95515 


95382 


95249 


144 


•95115 


94980 


94845 


94709 


94573 


94436 


94299 


94161 


94023 


93884 


145 


n 0.93744 


93604 


93463 


93322 


931 SO 


93038 


92895 


92751 


92807 


92462 | 


146 


.92317 


92171 


92024 


91877 


91729 


91581 


91432 


91282 


91132 


90981 


147 


.90829 


90677 


90524 


90370 


90216 


90061 


89905 


89748 


89591 


89434 


148 


.89276 


89118 


88959 


88799 


88637 


88474 


88311 


88147 


87983 


87818 


149 


.87653 


87487 


87320 


87152 


86983 


86814 


86644 


86473 


86301 


86129 


150 


n 0.85956 


85782 


85607 


85431 


85254 


85077 


84899 


84720 


84540 


84359 


151 


84177 


83995 


83812 


83628 


83442 


83255 


83068 


82880 


82691 


82501 


152 


82310 


82118 


81925 


81731 


81536 


81341 


81145 


80948 


80749 


80549 


153 


80347 


80145 


79942 


79738 


79533 


79327 


79119 


78910 


78700 


78490 


154 


78279 


78067 


77854 


77639 


77422 


77203 


76984 


76764 


76543 


76320 


155 


n 0.76096 


75871 


75644 


75416 


75.187 


74957 


74725 


74492 


74257 


74021 


156 


.73784 


73545 


73305 


73063 


72820 


72576 


72330 


72083 


71834 


71583 


157 


.71331 


71077 


70821 


70564 


70306 


70046 


69785 


(59522 


69257 


68989 


158 


.68719 


68448 


68175 


67901 


67625 


67347 


67067 


66785 


68501 


66215 


159 


.65927 


65637 


65345 


65051 


64755 


64456 


64155 


63852 


63547 


63240 


360 


n 0.62931 


62619 


62305 


61988 


61669 


61347 


61023 


60696 


60367 


60035 | 


161 


.59701 


59364 


59024 


58681 


58335 


57987 


57635 


57280 


56922 


56561 


162 


.56199 


55833 


55464 


55091 


54714 


54332 


53948 


53561 


53170 


52775 


163 


.52177 


51975 


51569 


51159 


50745 


50328 


49906 


49479 


49048 


48613 


164 


.48173 


47729 


47280 


46826 


46367 


459.04 


45435 


44961 


44481 


43996 


J 165 


n 0.43506 


43010 


42508 


42000 


41485 


40964 


40437 


39903 


39363 


33817 



GENERAL TABLES. 



41 



TABLE XVIII— The Quantities log'. C and Log. D.-1850. 

Argument = Arg. I -f- d' -f~ Inequalities -f- day of year. 



liOK. I>. 



Arg. 



110 

111 

112 
113 
114 

115 
116 
117 
118 
119 

120 
121 
122 
123 

124 

125 
123 
127 

128 
129 

130 
131 
132 
133 
134 

135 
136 
137 

138 
139 

140 
141 
142 
143 
144 

145 
146 
147 

148 
149 

150 
151 
152 
153 
154 

155 
156 
157 
158 
159 

160 
161 
162 
163 
164 
165 



0.0 



0.1 



0.2 



n 0.99132 


99267 


1.00459 


00588 


.01733 


01858 


.02958 


030/8 


.04137 


04253 


n 1.05272 


05383 


.06305 


06472 


.07418 


07521 



.08434 
.09414 

n 1.10359 
.11272 
.12153 

.13005 

.13827 

n 1.14621 
.15389 
.16130 
.16847 
.17539 

n 1.18209 

.18855 
.19460 
.20084 
.20667 

n 1.21229 
.21772 

.22296 
.22802 
.23289 

n 1.23759 
.24211 
.24646 

.25065 
.25468 

n 1.25854 
.26225 
.26581 

.26921 
.27247 

n 1.27558 

.27855 
.28138 
.284(6 
.28600 

n 1.28902 
.29130 
.29344 
.29546 
.29734 

n 1.29909 
.30072 
.30222 

.30359 

.30484 

n 1.3C5C6 



08534 
09510 

10452 
11362 
12240 
13089 

13908 

14699 
15464 
16203 
16917 

17607 

18275 
18919 
19541 
20143 

20724 

21284 
21825 
22347 
22852 
23337 

238C5 
24255 
24088 
25106 
25507 

25892 
26261 
26616 

26954 

27278 

27588 
27884 
28165 

28432 
28084 



29152 
29365 
29565 
29752 

29926 
30088 
30236 
30372 
30496 
3C6C6 



0.3 



99401 
00717 
01982 
03197 
04368 

05494 
06579 
07624 
08633 
096C6 

10545 
11451 
12326 
13172 

13988 

14777 
15539 
16276 

16987 
17675 

18340 

18982 
19602 
20202 
20781 

21339 

21878 
22398 
22901 
23385 

23851 
24299 
24731 
25147 
25546 

25929 
26297 
26650 
26987 
27310 

27618 
27912 
28193 

28458 
28709 

28949 
29174 
29385 
29584 
29770 

29942 
30103 
30250 
30385 
30507 
30617 



99535 

Q0845 
02106 
03316 

04483 

05604 
06685 
07727 
08732 
09701 

10637 
11540 
12412 

13255 

14068 

14854 
15614 

16348 
17057 
17743 

18405 
19045 
19663 

20261 
20837 

21394 
21931 
22449 
22950 
23432 

23897 
24343 
24773 

25188 
25585 

25967 
26333 
26084 
27020 
27341 

27648 
27941 

28220 
28484 
28733 

28972 
29196 
29406 
29604 

29788 

29959 
30119 
30264 
30398 
30519 
3C627 



0.4 



99669 
00974 
02229 
03435 
04597 

05714 
06791 

07829 
08830 
09796 

10729 
11628 
12498 
13338 
14148 

14931 

15689 
16420 
17127 

17810 

18470 
19108 
19724 
20320 
20894 

21449 

21984 
22500 
22999 
23479 

23942 

24387 
24815 
25229 
25624 

26004 
26369 
26719 
27053 
27373 

27678 
27969 
28247 
28510 

28758 

28995 
29218 
29426 
29623 
29806 

29975 
30134 
30278 
30411 
30530 
3C637 



0.5 



99802 
01102 
02351 
03553 
04710 

05824 
06896 
07931 
08928 



10820 
11716 

12583 
13420 
14227 

15O08 
15763 
16492 
17196 

17877 

18535 
19170 
19785 

20378 
20950 

21503 
22036 
22551 

23048 
23526 

23987 
24431 
24857 
25269 
25663 

26041 
26405 
20753 
27086 
27404 

27708 
27998 
28274 
26535 
28782 

29018 
29239 
29446 
29642 
29823 

29992 
30149 
3C292 

30423 
30542 
3C647 



0.6 



99934 
C1229 
02473 
0S671 
04823 

05933 
07001 
08033 
09026 
09966 

10911 

11804 
12668 
13502 
14307 

15085 
15837 
16564 
17265 
17944 

18600 
19233 
19845 
20436 
21006 

21557 

22088 
22602 
23097 
23573 

24032 
24474 
24899 
25309 
25701 

26078 
26411 
26787 
27119 
27435 

27738 
28026 
28301 
28560 
28606 

29041 
29260 
29466 
29661 
29841 

3CC08 
30164 
30305 
30435 
30553 
30657 



0.7 



00066 
01356 

02595 
03788 
04936 

06042 
07106 
08134 
09124 

10080 

11002 
11892 
12753 
13584 
14386 

15161 
15911 
16635 
17334 
18011 

18664 
19295 
19905 
20494 
21062 

21611 
22140 

22652 
23145 
23620 

24077 
24517 
24941 
25349 

25740 

26115 

26476 
20820 
27151 
27466 

27767 

28054 
28327 
28585 
28830 

29063 
29281 
29466 
29660 

29858 

30024 
30178 
30319 
30448 
30564 
30667 



0.8 



00197 

01482 
02716 
03905 
05048 

06150 
07210 
08235 
09221 
10174 

11092 
11979 
12837 
13665 
14465 

15237 

15984 
16706 
17403 

18077 

18728 
19357 
19965 
20552 
21118 

21665 
22192 
22702 
23193 
23667 

24121 

24560 
24982 
25389 
25778 

26152 
26511 

26854 
27183 
27497 

27796 

28082 
28354 
28010 
28854 

29086 
29302 

29506 
20098 
29875 

30040 
30193 
30332 
30460 
30575 
30676 



0.9 



00328 
01608 
02837 
04021 
05160 

06258 
07314 
08335 
09318 
10267 

11182 
12066 
12921 
13746 
14543 

15313 
16057 
16777 
17471 
18143 

18792 
19419 
20025 
20610 
21174 

21719 
22244 
22752 
23241 
23713 

24166 

24603 
25024 
25429 
25816 

26189 

26546 
26887 
27215 

27528 

27826 
28110 

28380 
28635 

28878 

29108 
29323 
29526 
29716 
29892 

30C56 
30207 
30346 
30472 
30586 
30686 



42 



GENERAL TABLES. 








TABLE XVIII.— The Quantities log. C and Log. D 


.-1850. 












Argument = Arg. I -|- 


i' -j- Inequalities -f- day of year. 


















IiOg. C. 














Arg. 


0.0 


0.1 


0.2 


0.3 


0.4 


0.5 


0.6 


0.7 


0.8 


0.9 




165 


n 0.43506 


43010 


42508 


42000 


41485 


40964 


40437 


39903 


39363 


38817 




168 


.38264 


37702 


37132 


36657 


35972 


35379 


34779 


34170 


33551 


32925 




167 


.32288 


31641 


30987 


303*0 


29643 


28956 


28257 


27546 


28826 


28091 




168 


.25343 


24584 


23809 


23022 


22219 


21400 


20567 


19716 


18850 


17984 




169 


.17059 


• 16138 


15194 


14231 


13244 


12236 


11202 


10145 


09058 


07944 




170 


n 0.06803 


05628 


04424 


03181 


01906 


00588 


: 99233 


: 97829 


: 96383 


: 94883 




171 


9.93333 


91722 


90053 


88317 


86503 


84616 


82637 


80569 


78392 


76106 




172 


9.73686 


71131 


68415 


65510 


62400 


59052 


55428 


51462 


47110 


42263 




173 


w 9.36811 


30582 


23285 


14537 


03560 


: 88812 


: 66371 


n 17354 


p 21397 


: 67720 




174 


p 8.89621 


: 04148 


: 14987 


: 23676 


: 30394 


: 37081 


: 42511 


: 47323 


: 51654 


: 55804 




175 


9.59214 


62546 


65650 


68538 


71246 


73802 


76209 


78489 


80656 


82725 




176 


9.84694 


86578 


88389 


90122 


91788 


93393 


94945 


96439 


97883 


99285 




177 


0.00638 


01951 


03225 


04466 


05869 


06840 


07980 


09093 


10178 


11232 




178 


.12263 


13273 


14257 


15219 


16160 


17083 


17985 


18868 


19734 


20584 




179 


.21416 


22233 


23034 


23820 


24595 


25354 


26099 


26832 


27554 


28253 




180 


0.28960 


29646 


30322 


30988 


31643 


32288 


32923 


33549 


34169 


34776 




lei 


.35376 


35967 


36550 


37127 


37695 


38255 


33803 


39354 


39895 


40427 




182 


.40953 


41473 


41987 


42495 


42996 


43491 


43981 


44405 


44944 


45418 




183 


.45885 


46348 


46806 


47259 


47708 


48152 


48591 


4902ft 


49458 


49881 




184 


.50302 


50719 


51132 


51541 


51946 


52348 


52745 


53139 


53529 


53916 




185 


0.54299 


54679 


55056 


55429 


55798 


56164 


56527 


56387 


57244 


57598 




186 


.57949 


58297 


58642 


58984 


59324 


59661 


59995 


60326 


60655 


60981 




187 


.61305 


61626 


61944 


62250 


62574 


62886 


63195 


68502 


63807 


64109 




188 


.64409 


64707 


65003 


65297 


65589 


65877 


68164 


66449 


66732 


67014 




189 


.67294 


67572 


67848 


68122 


63394 


68664 


63932 


69198 


69483 


69727 




190 


0.69989 


70249 


70507 


70763 


71018 


71271 


71523 


71773 


72022 


72269 




191 


.72514 


72758 


73000 


73241 


73481 


73720 


73957 


74193 


74427 


74659 




192 


.74890 


75120 


75348 


75575 


7r>801 


76026 


76250 


76472 


76693 


76913 




193 


.77131 


77348 


77564 


77779 


77993 


78205 


78416 


78626 


78835 


79043 




194 


.79251 


79457 


79662 


79866 


80068 


80209 


80409 


80663 


80866 


81064 




195 


0.81261 


81456 


81650 


81843 


82036 


82228 


82419 


82609 


82798 


829S5 




196 


.83171 


83357 


83542 


83726 


83909 


84091 


84272 


84452 


84631 


84310 




197 


.84988 


85165 


85341 


85516 


85691 


85885 


88033 


86210 


88331 


86552 




198 


.86722 


86891 


87059 


87226 


87393 


87559 


87725 


87890 


88054 


88216 




199 


.88377 


88538 


83698 


88858 


89018 


89177 


89335 


89492 


89649 


89805 




200 


0.89960 


90115 


90269 


90422 


90575 


90727 


90878 


91029 


91179 


91328 




201 


.91477 


91625 


91772 


91919 


92005 


9221 1 


92358 


92501 


92645 


92788 




202 


.92930 


93072 


93213 


93354 


93495 


93635 


93774 


93913 


94051 


94183 




203 


.94325 


94462 


94598 


94733 


94868 


95002 


95186 


95270 


95403 


95535 




204 


.95666 


95797 


95927 


96057 


96187 


96316 


96445 


98573 


96701 


93823 




205 


0.98954 


97080 


97206 


97331 


97456 


97580 


97704 


97827 


97950 


98072 




206 


.98194 


9S315 


98438 


98557 


98677 


93797 


93916 


99081 


9 M 52 


99270 




207 


0.99388 


99505 


99622 


99733 


99854 


99969 


: 00084 


: 00198 


: 00312 


: 00426 




208 


1.00539 


00652 


00704 


00876 


00983 


0J099 


01210 


01320 


01430 


01539 




209 


.01648 


01757 


01865 


01973 


02081 


02183 


02295 


02401 


02507 


02813 




210 


1.02718 


02823 


02928 


03032 


03136 


03239 


03342 


03445 


03547 


03649 




211 


.03751 


03852 


03953 


04054 


04154 


04254 


04353 


04452 


04551 


04850 




212 


.04748 


04H46 


04943 


05040 


05137 


05234 


05330 


05426 


05521 


05618 




213 


.05711 


05805 


05899 


05993 


06087 


06180 


06273 


08368 


0:>458 


085-)0 




214 


.06642 


06733 


06824 


06915 


07006 


07096 


07186 


07275 


07384 


07453 




215 


1.07542 


07630 


07718 


07806 


07893 


07980 


08067 


08153 


08239 


08325 




216 


.08411 


08498 


08581 


08868 


08751 


08335 


08919 


09003 


09088 


09169 




217 


.09252 


09335 


09417 


09499 


09581 


09602 


09743 


09824 


09905 


09986 




218 


.100(58 


10140 


10225 


10304 


10383 


10462 


10540 


10618 


10696 


10774 




219 


.10852 


10929 


11006 


11083 


11360 


1123:; 


11312 


11388 


11468 


1 1533 




220 


1.11613 


11688 


11762 


11831) 


11910 


11934 


12058 


12131 


12204 


12J77 





GENERAL TABLES. 



43 







TABLE IVIII.-TIie Quantities Log. C and Log. D. 


-1850. 












Argument = Arg. I -f- d' -j- Inequalities -f* day of year. 








Arg. 


0.0 


0.1 


0.2 


0.3 


""B* Mw * 

0.4 


0.5 


0.6 


0.7 


0.8 


0.9 




165 


n 1.30596 


30606 


30617 


30627 


30637 


30647 


30657 


30667 


30676 


30686 




166 


.30696 


30705 


30714 


30724 


30733 


30742 


30751 


30759 


30768 


30776 




167 


.30784 


30792 


30800 


30808 


30816 


30823 


30831 


30838 


30846 


30853 




168 


.30860 


30867 


30873 


30880 


30886 


30893 


30899 


30905 


30911 


30917 




169 


.30923 


30928 


30934 


30939 


30945 


30950 


30955 


30960 


30965 


30970 




170 


n 1.30974 


30978 


30983 


3G987 


30991 


30995 


30999 


31002 


31006 


31010 




171 


.31013 


31016 


31019 


31022 


31025 


31028 


31031 


31033 


31036 


31038 




172 


.31041 


31043 


31045 


31047 


31049 


31050 


31052 


31053 


31054 


31055 




173 


.31056 


31057 


31057 


31058 


31058 


31059 


31059 


31059 


31059 


31059 




174 


.31059 


31059 


31058 


31058 


31057 


31056 


31055 


31053 


31052 


31050 




175 


n 1.31049 


31047 


31046 


31044 


31042 


31040 


31038 


31036 


31033 


31031 




176 


.31028 


31025 


31022 


31019 


31016 


31013 


31009 


31006 


31002 


30999 




177 


.30995 


30991 


30987 


30983 


30979 


30974 


30969 


30965 


30960 


30955 




178 


.30950 


30945 


30939 


30934 


30928 


30923 


30917 


30911 


30905 


30899 




179 


.30893 


30886 


30880 


30873 


30867 


30860 


30853 


30845 


30838 


30831 




180 


n 1.30823 


30816 


30808 


30800 


30792 


30784 


30776 


30767 


30759 


30750 




181 


.30742 


30733 


30724 


30715 


30706 


30697 


30688 


30678 


30668 


30658 




182 


.30648 


30638 


30627 


30617 


30606 


30596 


30585 


30575 


30564 


30553 




183 


.30542 


30531 


30519 


30508 


30490 


30485 


30473 


30461 


30449 


30437 




184 


.30424 


30411 


30399 


30386 


30373 


30360 


30347 


30334 


30321 


30307 




185 


n 1.30293 


30279 


30265 


30251 


30237 


30223 


30209 


30194 


30180 


30165 




186 


.30150 


30135 


30120 


30104 


30089 


30074 


30058 


30042 


30026 


30010 




187 


.29994 


29978 


29961 


29945 


29928 


29911 


29894 


29877 


29860 


29843 




188 


.29826 


29808 


29791 


2SJ773 


29755 


29737 


29719 


29700 


29682 


29663 




189 


.29645 


29626 


29607 


29588 


29569 


29550 


29530 


29511 


29491 


29471 




190 


n 1.29451 


29431 


29410 


29390 


29369 


29349 


29328 


29307 


29286 


29265 




191 


.29244 


29223 


29201 


29180 


29158 


29136 


29114 


29091 


29069 


29046 




192 


.29024 


29001 


28978 


28955 


28932 


28909 


28885 


28862 


28838 


28815 




193 


.28791 


28767 


28743 


28719 


28695 


28670 


28645 


28620 


28595 


28570 




194 


.28545 


28519 


28494 


28468 


28442 


28416 


28390 


28363 


28337 


28310 




195 


n 1.28284 


28257 


28230 


28203 


28176 


28149 


28121 ' 


28094 


28066 


28039 




196 


.28011 


27983 


27954 


27926 


27897 


27869 


27840 


27811 


27782 


27753 




197 


.27723 


27694 


27664 


27634 


27604 


27574 


27543 


27513 


27482 


27452 




198 


.27421 


27390 


27359 


27327 


27296 


27265 


27233 


27201 


27169 


27137 




199 


.27105 


27072 


27040 


27007 


26975 


26942 


26909 


26875 


26842 


26808 




200 


n 1.26775 


26741 


26707 


26672 


26638 


26604 


26569 


26534 


26499 


26464 




201 


.26429 


26393 


26358 


26322 


26287 


26251 


26215 


26179 


26142 


26106 




202 


.26070 


26033 


25996 


25958 


25921 


25884 


25846 


25808 


25770 


25732 




203 


.25694 


25655 


25637 


25578 


25539 


25500 


25461 


25421 


25382 


25342 




204 


.25303 


25263 


25223 


25183 


25143 


25102 


25061 


25020 


24979 


24938 




205 


n 1.24896 


24854 


24813 


24771 


24729 


24687 


24644 


24602 


24559 


24517 




206 


.24474 


24430 


24387 


24343 


24300 


24256 


24212 


24167 


24123 


24078 




207 


.24034 


23989 


23944 


23899 


23854 


23808 


23762 


23716 


23670 


23624 




208 


.23578 


23531 


23485 


23438 


23391 


23344 


23296 


23249 


23201 


23153 




209 


.23105 


23056 


23008 


22959 


22911 


22862 


22812 


22763 


22713 


22664 




210 


n 1.22614 


22564 


22513 


22463 


22412 


22362 


22311 


22260 


22208 


22157 




211 


.22106 


22054 


22002 


21949 


21897 


21845 


21792 


21738 


21685 


21631 




212 


.21578 


21524 


21470 


21416 


21362 


21307 


21252 


21197 


21142 


21087 




213 


.21032 


20976 


20920 


20864 


20808 


20752 


20695 


20638 


20581 


20524 




214 


.20467 


20409 


20351 


20293 


20235 


20177 


20118 


20059 


20000 


19941 




215 


n 1.19882 


19822 


19762 


19702 


19642 


19582 


19521 


19460 


19399 


19338 




216 


.19276 


19214 


19152 


19090 


19028 


18965 


18902 


18839 


18776 


1S713 




217 

218 


.18649 


18585 


18521 


18457 


18393 


18328 


18263 


18197 


18132 


18066 




.18001 


17934 


17868 


17801 


177S5 


17668 


17600 


17533 


17465 


17398 




219 


.17330 


17261 


17193 


17124 


170£5 


16986 


16916 


16846 


16776 


1G706 




220 


n 1.16636 


16565 


16494 


16422 


16351 


16280 


16208 


16135 


16063 


15990 

1 





44 



GENERAL TABLES. 





TABLE XVIII.— The Quantities Log. C and Log. D. 


-1850. 










Argument = Arg. I -\- d' -\~ Inequalities -j- day of year. 






Log-. C. 


Arg. 


0.0 


0.1 


0.2 


0.3 


0.4 


0.5 


0.6 


0.7 


0.8 


0.9 


220 


1.11613 


11688 


11762 


11836 


11910 


11984 


12058 


12131 


12204 


12277 


221 


.12350 


12422 


12494 


12566 


12638 


12709 


12780 


12851 


12922 


12992 


222 


.13062 


13132 


13202 


13271 


13340 


13409 


13478 


13546 


13614 


13682 


223 


.13750 


13818 


13885 


13952 


14019 


14086 


14153 


14219 


14285 


14351 


224 


.14417 


14482 


14547 


14612 


14677 


14742 


14806 


14870 


14934 


34998 


225 


1.15061 


15124 


15187 


15250 


15313 


15376 


15438 


15500 


15562 


35624 


228 


.15685 


15746 


15807 


15868 


15929 


15989 


16049 


16109 


16169 


16228 


227 


.16287 


16346 


16405 


16464 


16523 


16581 


16639 


16697 


16755 


16813 


228 


.16870 


16927 


16984 


17041 


17098 


17154 


17210 


37266 


17322 


37378 


2*9 


.17433 


17488 


17543 


17598 


17653 


17707 


17761 


17815 


17869 


17923 


230 


1.17977 


18030 


18083 


18 J 36 


18189 


18242 


18294 


18346 


18398 


38450 


231 


.18502 


18554 


18605 


18656 


18707 


18758 


18809 


18859 


18909 


38959 


232 


.19009 


19059 


19109 


19158 


19207 


19256 


19305 


19354 


19402 


39450 


233 


.19498 


19546 


19594 


39642 


J 9689 


19736 


19783 


19830 


19877 


19924 


234 


.19970 


20016 


20062 


20108 


20154 


20200 


20245 


20290 


20335 


20380 


235 


1.20425 


20470 


20514 


20558 


20602 


20646 


20690 


20734 


20777 


20820 


236 


.20863 


20906 


20949 


20992 


21034 


21076 


21118 


21160 


21202 


21244 


237 


.21285 


21326 


21367 


21408 


21449 


21490 


21531 


21571 


21611 


21651 


238 


.21691 


21731 


21771 


21810 


21849 


21888 


21927 


21966 


22005 


22043 


239 


.22081 


22119 


22157 


22195 


22233 


22270 


22307 


22344 


22381 


22438 


240 


1.22455 


22492 


22528 


22564 


22600 


22636 


22672 


22708 


22744 


22779 


241 


.22814 


22849 


22884 


22919 


22954 


22988 


23022 


23056 


23090 


23124 


242 


.23158 


23192 


23226 


23259 


23292 


23325 


23358 


23391 


23424 


23457 


243 


.23488 


23520 


23552 


23584 


23616 


23647 


23678 


23709 


23740 


23771 


244 


.23802 


23833 


23864 


23894 


23924 


23954 


23984 


24014 


24044 


24073 


245 


1.24102 


24131 


24160 


24189 


24218 


24247 


24276 


24304 


24332 


24360 


246 


.24388 


24416 


24444 


24472 


24499 


24526 


24553 


24580 


24607 


24634 


247 


.24660 


24687 


24713 


24739 


24765 


24791 


24817 


24843 


24868 


24893 


248 


.24918 


24943 


24968 


24993 


25018 


25042 


25066 


25090 


25114 


25138 


249 


.25162 


25186 


25210 


25233 


22256 


25279 


25302 


25325 


25348 


25371 


250 


1.25393 


25415 


25437 


25459 


25481 


25503 


25525 


25547 


25568 


25589 


251 


.25610 


25631 


25652 


25673 


25693 


25713 


25733 


25753 


25773 


25793 


252 


.25813 


25833 


25853 


25872 


25891 


25910 


25929 


25948 


25967 


25986 


253 


.26004 


26022 


26040 


26058 


26076 


26094 


26112 


26130 


26147 


26164 


254 


.26181 


26198 


26215 


26232 


26249 


26265 


26281 


26297 


26313 


26329 


255 


1.26345 


26361 


26377 


26392 


26407 


26422 


26437 


26452 


26467 


26182 


2S6 


.26496 


26511 


26525 


26539 


26553 


26567 


26581 


26595 


26608 


26621 


257 


.26634 


26647 


26660 


26673 


26686 


26698 


26711 


26723 


26735 


26747 


258 


.26759 


26771 


26783 


26795 


26806 


2t817 


26828 


26839 


26850 


26861 


259 


.26871 


26882 


26893 


26903 


26913 


26923 


26933 


26943 


26953 


26962 


260 


1.26971 


26980 


26989 


26998 


27007 


27016 


27025 


27034 


27042 


27050 


261 


.27058 


27066 


27074 


27082 


27090 


27097 


27.104 


27111 


27118 


27125 


262 


.27132 


27139 


27146 


27152 


27158 


27104 


27170 


27176 


27182 


27188 


263 


.27193 


27199 


27204 


27209 


27214 


27219 


27224 


27229 


27234 


27238 


264 


.27242 


27246 


27250 


27254 


27258 


27262 


27266 


27269 


27272 


27275 


265 


1.27278 


27281 


27284 


27287 


27289 


27291 


27293 


27295 


27297 


27399 


266 


.27301 


27303 


27305 


27306 


27307 


273118 


2731.9 


27310 


2731! 


27312 


267 


.27312 


27312 


27312 


27313 


27313 


27313 


27313 


27313 


27312 


27311 


268 


.27310 


27309 


27308 


27307 


27306 


27304 


27:^03 


27301 


27299 


27297 


269 


.27295 


27293 


27291 


27289 


27286 


27283 


27280 


27277 


27274 


27-27 1 


270 


1.27267 


27264 


27261 


27257 


27253 


27249 


27245 


27241 


27237 


27232 



GENERAL TABLES. 



45 





• i 


TABLE XVIII.-The Quantities log. C and Log. D. 


-1850. 










Argument — Arg. I -f- d' -f- Inequalities -f- day of 


year. 






liOg- J>. 


Arg. 


0.0 


0.1 


0.2 


0.3 


0.4 


0.5 


0.6 


0.7 


0.8 


0.9 


220 


n 1.16636 


16565 


16494 


16422 


16351 


16280 


16208 


16135 


16063 


15990 


221 


.15918 


15845 


15771 


15698 


15624 


15550 


15476 


15401 


15326 


15251 


222 


.15176 


15100 


15024 


14948 


14872 


14795 


14718 


14640 


14563 


14486 


223 


.14408 


.14330 


14251 


14173 


14094 


14015 


13935 


13855 


13775 


13695 


224 


.13614 


13533 


13452 


13370 


13288 


13206 


13123 


13040 


12957 


12874 


225 


n 1.12791 


12707 


12623 


12539 


12455 


12370 


12285. 


12199 


12113 


12027 


22(5 


.11941 


11854 


11767 


11679 


11592 


11504 


11416 


11327 


11238 


11149 


227 


.11060 


10970 


10880 


10790 


10699 


10608 


10517 


10425 


10333 


10241 


228 


.10149 


10056 


09963 


09869 


09775 


09681 


09586 


09491 


09396 


09301 


229 


.09205 


09109 


09012 


08915 


08818 


08721 


08623 


08525 


08426 


08327 


230 


n 1.08228 


08128 


08028 


07928 


07827 


07726 


07625 


07523 


07421 


07318 


231 


.07215 


07112 


07008 


06904 


06799 


06694 


06589 


06483 


06377 


06271 


232 


.06164 


06057 


05950 


05842 


05734 


05625 


05516 


05406 


05296 


05286 


233 


.05075 


04964 


04852 


04740 


04628 


04515 


04402 


04288 


04174 


04059 


234 


.03944 


03829 


03713 


03597 


03480 


03363 


03245 


03127 


03009 


02890 


235 


n 1.02771 


02651 


02531 


02410 


02289 


02167 


02045 


01922 


01799 


01675 


236 


.01551 


01426 


01301 


01175 


01049 


00923 


00796 


00668 


00540 


00412 


237 


1.00283 


00153 


00023 


: 99892 


: 99761 


: 99630 


: 99498 


; 99365 


: 99232 


: 99098 


238 


0.98964 


98829 


98694 


98558 


98421 


98284 


98146 


98008 


97869 


97730 


239 


.97590 


97449 


97308 


97166 


97024 


96881 


96737 


96593 


96448 


96303 


240 


n 0.96157 


96010 


95863 


95715 


95566 


95417 


95267 


95117 


94966 


94814 


241 


.94662 


94509 


94355 


94201 


94046 


93890 


93733 


93575 


93417 


93259 


242 


.93101 


92941 


92780 


92618 


92456 


92293 


92129 


91964 


91799 


91633 


243 


.91467 


91300 


91132 


90963 


90793 


90622 


90451 


90279 


90106 


89932 


244 


.89756 


89580 


89403 


89225 


89047 


88869 


88689 


88508 


88326 


86144 


245 


n 0.87961 


87777 


87592 


87406 


87219 


87030 


86841 


86651 


86460 


86268 


246 


.86075 


85881 


85686 


85490 


85293 


85095 


84896 


84696 


84495 


84293 


247 


.84089 


83885 


83680 


83473 


83265 


83056 


82847 


82636 


82424 


82210 


248 


.81994 


81778 


81561 


81343 


81123 


80902 


80680 


80456 


80231 


80005 


249 


.79778 


79550 


79320 


79089 


78856 


78621 


78386 


78149 


77911 


77671 


250 


n 0.77429 


77186 


76941 


76695 


76448 


76200 


75949 


75697 


75443 


75188 


251 


.74931 


74673 


74413 


74151 


73887 


73621 


73354 


73085 


72814 


72541 


252 


.72266 


71990 


71712 


71432 


71149 


70864 


70577 


70288 


69997 


69705 


253 


.6941 1 


691 14 


68815 


68514 


68210 


67904 


67596 


67286 


66974 


66659 


254 


.66342 


66022 


65700 


65375 


65048 


64716 


64383 


64047 


63708 


63366 


255 


n 0.63022 


62675 


62325 


61972 


61616 


61256 


60894 


60529 


60160 


59787 


256 


.59411 


59032 


56650 


58264 


57875 


5748* 


57085 


56684 


56279 


55870 


257 


.55458 


55042 


54622 


54197 


53767 


53331 


52^92 


52448 


52000 


51548 


1 258 


.51093 


50631 


50164 


49691 


49213 


46730 


48.240 


47744 


47242 


40735 


259 


.46222 


45701 


45174 


44640 


44100 


43554 


43001 


42441 


41874 


41300 


260 


n 0.40717 


40124 


39525 


36917 


38298 


37673 


37036 


36391 


35735 


35070 


261 


.34393 


33705 


330C8 


32298 


31575 


30843 


30095 


29334 


28562 


27773 


262 


.26970 


26151 


25317 


24468 


23600 


22714 


21809 


20886 


19941 


18976 


i 263 


.17989 


16979 


15944 


14884 


13798 


12683 


11542 


10364 


09 J 56 


07909 


1 264 


0.C6630 


05311 


03951 


02547 


01092 


: 99591 


: 98035 


: 96422 


: 94741 


: 92998 


i 265 


n 9.91182 


89280 


87298 


85214 


83031 


8C727 


78299 


75721 


72987 


70061 


1 266 


9.66933 


63554 


59896 


55891 


51479 


46578 


41046 


34698 


27275 


1831-7 


267 


n 9 06988 


: 91639 


: 67680 


n 09797 


p 35127 


: 75904 


: 96568 


10510 


21049 


29523 


i 268 


p 9.36611 


42703 


48045 


52801 


57087 


60987 


64566 


67872 


70944 


73813 i 


, 269 


9.76504 


79045 


81438 


83707 


85862 


87921 


89882 


91758 


93560 


95287 


! 270 

i ■ 


9.96946 


9S550 


: 00091 


: 01580 


: C3020 


: 04416 


: 05769 


: 07078 


: 08351 


: (9585 






■ 



















46 






GENERAL TABLES. 












TABLE XVIII.— The Quantifies Log. C and Log. D 


-1850. 










Argument = Arg. I -f- < 


V -\- Inequalities + day °f year. 






£<og» <C. 


Arg. 


0.0 


0.1 


0.2 


0.3 


0.4 


0.5 


0.6 


0.7 


0.8 


0.9 


270 


1.27267 


27264 


27261 


27257 


27253 


27249 


27245 


27241 


27237 


27232 


271 


.27227 


27222 


27217 


27212 


27207 


27202 


27197 


27192 


27186 


27180 


272 


.27174 


27168 


27162 


27156 


27149 


27142 


27135 


27128 


27121 


27114 


273 


.27107 


27100 


27093 


27085 


27077 


27069 


27061 


27053 


27045 


27037 


274 


.27028 


27020 


27011 


27002 


26993 


26984 


26975 


26966 


26956 


26946 


275 


1.26936 


26926 


26916 


26906 


26896 


26885 


26875 


26864 


26853 


26842 


276 


.26831 


26820 


26809 


26798 


26786 


26774 


26762 


26750 


26738 


26726 


277 


.26713 


26701 


26688 


26675 


26662 


26649 


26636 


26623 


26609 


26595 


278 


.26581 


26567 


26553 


26539 


26525 


26510 


26496 


26481 


26466 


26451 


279 


.26436 


26421 


26406 


26391 


26375 


26359 


26343 


26327 


26311 


26295 


2S0 


1.26278 


26261 


26244 


26227 


26210 


26193 


26176 


26159 


26141 


26123 


281 


.26105 


26087 


26069 


26051 


26033 


26014 


25996 


25977 


25958 


25939 


282 


.25920 


25901 


25882 


25862 


25842 


25822 


25802 


25782 


25762 


25741 


283 


.25720 


25699 


25678 


25657 


25636 


25615 


25594 


25572 


25550 


25528 


284 


.25506 


25484 


25462 


25440 


25417 


25394 


25371 


25348 


25325 


25302 


285 


1.25278 


25254 


25230 


25206 


25182 


25158 


25134 


25110 


25085 


25060 


286 


.25035 


25010 


24985 


24960 


24935 


24909 


24883 


24857 


24831 


24805 


287 


.24779 


24753 


24726 


24699 


24672 


24645 


24618 


24591 


24563 


24535 


288 


.24507 


24479 


24451 


24423 


24394 


24365 


24336 


24307 


24278 


24249 


289 


.24220 


24191 


24161 


24131 


24101 


* 24071 


24041 


24011 


23980 


23949 


290 


1.23918 


23887 


23856 


23825 


23793 


23761 


23729 


23697 


23665 


23633 


291 


.23601 


23569 


23536 


23503 


23470 


23437 


23404 


23370 


23336 


23302 


292 


.23268 


23234 


23200 


23166 


23131 


23096 


23061 


23026 


22991 


22955 


293 


.22919 


22883 


22847 ' 


22811 


22775 


22739 


22702 


22665 


22628 


22591 


294 


.22554 


22516 


22479 


22441 


22403 


22365 


22327 


22289 


22250 


22211 


295 


1.22172 


22133 


22094 


22055 


22015 


21975 


21935 


21895 


21855 


21814 


296 


.21773 


21732 


21691 


21650 


21609 


21568 


21526 


21484 


21442 


21400 


297 


.21358 


21316 


21273 


2,230 


21187 


21144 


21101 


21057 


21013 


20969 


298 


.20925 


20881 


20836 


20791 


20746 


20701 


20656 


20611 


20565 


20519 


299 


.20473 


20427 


20381 


20335 


20288 


20241 


20194 


20147 


20100 


20052 


300 


1.20004 


19956 


19908 


19860 


19811 


19762 


19713 


19664 


19615 


19566 


301 


.19516 


19466 


19416 


19366 


19315 


19264 


19213 


19162 


19111 


19060 


302 


.19008 


18956 


18904 


18852 


188C0 


18747 


18394 


18641 


18588 


18535 


303 


.18482 


18428 


18374 


18320 


18266 


18211 


18156 


18101 


18046 


17990 


304 


.17934 


17878 


17822 


17766 


17710 


17653 


17596 


17539 


17482 


17424 


305 


1.17366 


17308 


17250 


17192 


17134 


17075 


17016 


16957 


16898 


16838 


306 


.16778 


16718 


16658 


. 16597 


16536 


16475 


16414 


16352 


16290 


16228 


307 


.16166 


16104 


16041 


15978 


15915 


15852 


15789 


15725 


15661 


15597 


308 


.15533 


15468 


15403 


15338 


15273 


15208 


15142 


15076 


15010 


14943 


309 


.14876 


14809 


14742 


1467£ 


14607 


14539 


14471 


14402 


14333 


14264 


310 


1.14195 


14126 


14056 


13986 


13916 


13846 


13775 


13704 


13633 


13562 


311 


.13490 


13418 


13346 


13274 


13201 


13128 


13055 


12981 


12907 


12833 


312 


.12759 


12684 


12609 


12534 


12459 


12384 


12308 


12232 


12156 


12079 


313 


.12002 


11925 


11847 


11769 


11691 


11613 


11534 


11455 


11376 


11297 


314 


.11217 


11137 


11057 


10976 


10895 


10814 


10733 


10651 


10569 


10487 


315 


1.10404 


10321 


10238 


10154 


10070 


09986 


09902 


09817 


09732 


09647 


316 


.09561 


09475 


09389 


09302 


09215 


09128 


09040 


08952 


08864 


08776 


317 


.08687 


08598 


08509 


08419 


08329 


08239 


08148 


08057 


07966 


07874 


318 


.07782 


07690 


07597 


07504 


07410 


07316 


07222 


07127 


07032 


06937 j 


319 


.06842 


06746 


06650 


06553 


06456 


06359 


06262 


06164 


06066 


05967 


320 


1.05868 


05769 


05669 


05569 


05469 


05368 


05267 


05165 


05063 


04961 



GENERAL TABLES. 



47 



TABLE XVIII.- The Quantities log. C and Log. D.— 1850. 

Argument = Arg. I -f- d' -\- Inequalities + <^ a y of year. 



IiOg'. I>. 



Arg. 



270 
271 
272 
273 
274 

275 
276 
277 

278 
279 

280 
281 

282 
283 
284 

285 
286 
287 
268 
289 

290 
291 
292 
293 
294 

295 

296 
297 
298 
299 

300 
301 

302 
303 
304 

305 

306 
307 

308 
309 

310 
311 
312 
313 
314 

315 
316 
317 
318 
319 
320 



0.0 



9.96946 

0.10788 

.21263 

.29690 

.36736 

0.42790 
.48095 
.52812 
.57057 
.60915 

0.64447 
.67703 
.70722 
.73534 
.76165 

0.78634 
.80960 
.83156 
.85234 

.67207 

0.89083 
.90869 
.92574 
.94202 
.95759 

0.97251 

0.98682 

1.00055 

.01373 

.02641 

1.03860 
.05035 
.06165 
.07255 
.08306 

1.09320 
.10298 
.11242 
.12153 
.13033 

1.13883 
.14704 
.15497 
.16263 

.17003 

1.17718 

.18409 
.19075 
.19719 
.20340 
1.20940 



0.1 



0.2 



98550 
11958 
22184 
30449 
37382 

43351 

48591 
53256 
57459 
61282 

64784 
68015 
71012 
73805 
76419 

78873 
81186 
83369 
85436 
87399 

89265 
91043 
92740 
94361 
95911 

97397 
98822 
00189 
01502 
02765 

03980 
05150 
06276 
07362 
08409 

09420 
10394 
11335 
12242 
13119 

13966 
14784 
15575 
16338 
17076 

17788 
18477 
19140 
19782 
20401 
20999 



00091 
13095 
23084 
31195 

38018 

43905 
49081 
53696 
57857 
61646 

65118 
68325 
71300 
74074 
76671 

79111 
81410 

83580 
85637 
87590 

89446 
91216 
92905 
94519 
96063 

97542 

98961 
00322 
01630 

02889 

04099 
05264 
06386 
07468 
08512 

09519 
10490 
11427 
12331 
13205 

14049 

14864 
15652 
16413 

17148 ! 

17858 
18544 
19205 
19845 

20462 
21058 



0.3 



01580 
14205 
23967 
31928 
38644 

44452 

49566 
54131 

58252 
62007 

65450 
68632 
71586 
74341 
76922 

79347 
81633 
83791 

85837 
87780 

89627 
91388 
93070 
94676 
96214 

97687 
99100 
00455 
01758 
03012 

04218 
05378 
06496 
07574 

08614 

09618 
10585 
11519 
12420 
13291 

14132 
14944 

15729 
16488 
17220 

17928 
18611 
19270 
19906 
20523 
21116 



0.4 



03020 
15285 
24833 
32649 
39260 

44992 
50046 
54562 
58643 
62365 

65780 
68937 
71870 
74607 
77171 

79581 
81854 
84001 
86036 
87969 

89807 
91560 
93234 
946*33 
96364 

97831 
99238 
00588 
01886 
03134 

04336 
05492 
06606 
07680 
08716 

09716 
10680 
11611 
12509 
13377 

14215 

15024 
15806 
16562 
17292 

17998 
18678 
19335 
19970 
20583 
21174 



0.5 



04416 
16341 
25681 
33357 
39871 

45526 

50520 
54998 
59031 
62719 

66107 
69240 
72152 

74871 
77419 

79814 
82074 
84209 
86233 

88157 

89967 
91731 
93397 
94989 
96513 

97974 
99376 
00721 
02013 
03256 

04453 

05605 
06715 
07765 

08817 

09813 
10774 
11702 
12597 
13462 

14297 
15104 

15883 
16636 
17364 

18067 
18745 
19400 
20032 
20643 
21232 



0.6 



05769 
17372 
26513 

34055 
40470 

46052 
50988 
55410 
59415 
63070 

66431 
69540 
72432 
75133 

77665 

80046 
82293 
84416 

86430 

88344 

90165 
91901 
93559 
95144 
96662 

93117 
99513 
00853 
02140 
03378 

04570 
05718 

06824 
07690 
08918 

09911 
10868 
11793 
12685 
13547 

14379 
15183 
15959 
16710 
17435 

18136 
18811 
19464 
20094 
20703 
21290 



0.7 



0.8 



07078 
18379 
27330 
34741 
41062 

46572 
51451 

55828 
59796 
63418 

66752 
69338 
72710 
75393 
77909 

80276 
82510 
84622 
86626 
88530 

90342 
92070 
93721 
95299 
96810 

98259 
99650 
00984 
02266 
03499 

04687 
05830 
06932 
07995 
09019 

10008 
10962 
11884 
12772 
13631 

14461 
15262 

16035 
16784 
17506 

18205 
18877 
19528 
20156 
20763 
21347 



08351 
19360 
28131 
35416 
41647 

47086 
51909 
56242 
60173 
63764 

67071 
70134 
72986 
75652 

78152 

80505 
82726 

84827 
86821 
88715 

90518 
92239 
93882 
95453 
96958 

98401 
99786 
01114 
02392 
03620 

04803 
05942 
07040 
08099 
09120 

10105 
11056 
11974 
12859 
13715 

14542 
15341 
16111 

16857 
17577 

18273 
18943 

19592 
20218 
20822 
21404 



0.9 



09585 
20322 
28918 
36081 
42222 

47594 
52363 
56652 
60546 
64107 

67388 
70429 
73261 
75909 
78394 

80733 
82941 
85031 

87015 

88899 

90694 
92407 
94042 
95606 
97105 

98542 
99921 
01244 
02517 
03740 

04919 
06054 
07148 
06203 
09220 

10202 
11149 
12064 
12946 
13799 

14623 
15419 
16187 
16930 
17648 

18341 

19009 
19656 
2(1279 
20881 
21461 



48 



GENERAL TABLES. 





TABLE XVIII.— The Quantities Log. C and Log. D 


—1850. 










Argument = Arg. I -f- o 


11 -f- Inequalities -|- day of year. 






Arg. 


0.0 


0.1 


0.2 


0.3 


0.4 


0.5 


0.6 


0.7 


0.8 


0.9 


320 


1.05868 


05769 


05669 


05569 


05469 


05368 


05267 


05165 


05C63 


04961 


321 


.04858 


04755 


04651 


04547 


04443 


04333 


04233 


04127 


04021 


03915 


322 


.03809 


03702 


03595 


03487 


03379 


03270 


03161 


03051 


02941 


02831 


323 


.02720 


02609 


02497 


02385 


02273 


02160 


02046 


01932 


01818 


01704 


324 


.01589 


01473 


01357 


01241 


01124 


01007 


00889 


00771 


00652 


00533 


325 


1.00413 


00293 


00172 


00051 


: 99929 


: 99807 


: 99884 


: 99561 


4 

: 99437 


: 99313 


326 


0.99189 


99064 


98938 


98812 


98886 


98559 


98431 


98303 


93175 


98048 


327 


.97917 


97787 


97656 


97525 


97393 


97260 


97127 


96993 


96859 


96725 


328 


.98590 


96454 


96318 


96181 


98044 


95906 


95767 


95628 


95483 


95348 


329 


.95208 


95067 


94925 


94782 


94639 


94495 


94350 


94205 


94059 


93913 


330 


0.93766 


93618 


93470 


93321 


93171 


93021 


92870 


92718 


92566 


92413 


331 


.92260 


92106 


91951 


91795 


91638 


91481 


91323 


91164 


91005 


90845 


332 


.90685 


90524 


90362 


90199 


90035 


69870 


89705 


89539 


89372 


89204 


333 


.89038 


88867 


88697 


88526 


88354 


88182 


88009 


87835 


87660 


87484 


334 


.87308 


87130 


86951 


86772 


88592 


86411 


86229 


86048 


85862 


85677 


335 


0.85492 


85306 


85119 


84931 


84741 


84550 


84359 


84167 


83974 


83779 


338 


.83583 


83386 


83188 


82989 


82790 


82590 


82383 


82185 


81931 


81776 


337 


.8157L 


81364 


81156 


80947 


80736 


80524 


80311 


80097 


79882 


79665 


333 


.79447 


79228 


79008 


78786 


78563 


78333 


78113 


77886 


77658 


77428 


339 


.77197 


76965 


76731 


76496 


76260 


76022 


75783 


75542 


75300 


75056 


340 


0.74811 


74564 


74315 


74065 


73813 


73560 


73306 


73050 


72792 


72532 


341 


.72269 


72006 


71741 


71474 


71206 


70936 


70664 


70390 


70114 


69836 


342 


.69556 


69274 


63990 


68704 


68416 


63127 


67835 


67541 


67245 


66946 


343 


.66645 


68342 


66037 


65730 


65420 


65108 


64793 


64476 


64156 


63334 


344 


.63510 


63183 


62353 


62520 


62185 


61847 


61506 


61162 


60316 


60467 


345 


0.60115 


59760 


59402 


59040 


58675 


58306 


57935 


57561 


57183 


56801 


346 


.58416 


56028 


55636 


55240 


54840 


54436 


54028 


53616 


53200 


52780 


347 


.52357 


51929 


51496 


51059 


50617 


50170 


49719 


49263 


48802 


48335 


348 


.47863 


47386 


46904 


46416 


45922 


45422 


44916 


44404 


43886 


43362 


349 


.42834 


42297 


41753 


41202 


40644 


40078 


39504 


38922 


38332 


37734 


350 


0.37127 


36513 


35888 


35256 


34614 


33960 


33298 


32624 


31941 


31245 


351 


.30540 


29821 


29091 


28347 


27592 


26821 


26039 


25239 


24427 


23597 


352 


.22753 


21890 


21011 


20112 


19193 


18257 


17298 


16319 


15316 


14238 


353 


.13238 


12159 


11055 


09919 


08753 


07558 


06325 


05060 


0.5753 


02405 ! 


354 


0.01017 


: 99580 


: 98094 


: 98559 


: 94963 


: 93306 


: 91583 


: 89794 


: 87923 


: 85972 

1 


355 


9.83924 


81775 


79513 


77J34 


74609 


71929 


69080 


63022 


62733 


59173 


356 


9.55306 


51049 


46329 


41032 


35015 


28008 


19649 


09287 


: 95652 


. 75735 


357 


8.37700 


a 7. 9791 


: 63224 


: 88204 


: 03973 


: 15515 


: 24620 


: 32145 


: 38559 


:' 4414 1 


358 


n 9.49092 


53536 


57567 


61255 


64645 


67798 


70738 


73490 


76079 


78521 


359 


9.80834 


83024 


85113 


87107 


890 J 3 


90839 


92591 


94275 


95898 


97454 


360 


n 9.98963 


: 00420 


: 01830 


: 03196 


: 04520 


: 05804 


: 07052 


: C 2)4 


: 09440 


: 1C538 


361 


0.11707 


12797 


13861 


14898 


15912 


16902 


17870 


18317 


19744 


20651 


362 


.21539 


22409 


23260 


24097 


24917 


25723 


26513 


27239 


28052 


28801 


363 


.29537 


302(51 


30973 


31673 


32362 


33041 


33708 


34366 


35013 


35651 


364 


.38279 


36397 


37507 


33109 


38703 


39288 


39868 


40436 


40999 


41554 


385 


n 0.421 02 


42644 


43179 


43707 


44223 


44741 


45250 


45753 


46249 


46739 


366 


.47223 


47703 


48177 


48646 


49110 


49570 


50024 


50473 


50917 


51356 


367 


.51791 


52222 


52648 


53070 


53483 


53902 


54312 


54718 


55! 20 


55518 


368 


.55911 


56302 


56689 


57073 


57453 


57829 


58202 


58571 


58937 


59300 


369 


.59681 


60018 


60372 


60723 


61072 


61418 


61761 


62101 


62433 


62771 


370 


j/0.63100 


63429 


63755 


64078 


64399 


64717 


65033 


05346 


65657 


65968 

1 



GENERAL TABLES. 



49 







TABLE XVIII.— The Quantities log. C and Log. D 


-1850. 










Argument = Arg. I -f- d' -j- Inequalities -f- day of 


year. 






IiOg. ». 


Arg. 


0.0 


0.1 


• 
0.2 


0.3 


0.4 


0.5 


0.6 


0.7 


0.8 


0.9 


320 


1.20940 


20999 


21058 


21116 


21174 


21232 


21290 


21347 


21404 


21461 


321 


.21518 


21575 


21632 


21688 


21744 


21800 


21856 


2191 1 


21966 


22021 


322 


.22076 


22131 


22185 


22239 


22293 


22347 


22401 


22454 


22507 


22560 


323 


.22613 


22666 


22718 


22770 


22822 


22874 


22926 


22978 


23029 


23080 


324 


.23131 


23182 


23233 


23283 


23333 


23383 


23433 


23483 


23532 


23581 


325 


1.23630 


23679 


23728 


23776 


23824 


23872 


23920 


23968 


24016 


24063 


326 


.24110 


24157 


24204 


24251 


24297 


24343 


24389 


24435 


24481 


24526 


327 


.24571 


24616 


24661 


24706 


24751 


24795 


24839 


24863 


24927 


24971 


328 


.25014 


25057 


25100 


25143 


25186 


25229 


25272 


25314 


25356 


25398 


329 


.25440 


25482 


25523 


25564 


25605 


25646 


25687 


25728 


25768 


25808 


330 


1.25848 


25888 


25928 


25968 


26007 


26046 


26085 


26124 


26163 


26201 


331 


.26239 


26277 


26315 


26353 


26391 


26429 


26466 


26503 


26540 


26577 


332 


.26614 


26651 


26687 


26723 


26759 


26795 


26831 


26866 


26901 


26936 


333 


.26971 


27006 


27041 


27076 


27110 


27144 


27178 


27212 


27246 


27280 


334 


.27313 


27346 


27379 


27412 


27445 


27477 


27510 


27542 


27574 


27606 


335 


1.27638 


27670 


27702 


27733 


27764 


27795 


27826 


27857 


27888 


27918 


; 336 


.27948 


27978 


28008 


28038 


28068 


28097 


28126 


28155 


28184 


28213 


i 337 


.28242 


28271 


28299 


28327 


28355 


28383 


28411 


28439 


28466 


28493 


338 


.28520 


28547 


28574 


28601 


28628 


28654 


28680 


28706 


28732 


28758 


339 


.28784 


28810 


28835 


28860 


28885 


28910 


28935 


28960 


28984 


29008 


. 340 


1.29032 


29056 


29080 


29104 


29127 


29150 


29173 


29196 


29219 


29242 


341 


.29265 


29288 


29310 


29332 


29354 


29376 


£9398 


29420 


29442 


29463 


342 


.29484 


29505 


29526 


29547 


29568 


29588 


29608 


29628 


29648 


29668 


343 


.29688 


29708 


29727 


29746 


29765 


29784 


29803 


29822 


29841 


29859 1 


344 

I 


.29877 


29895 


29913 


29931 


29949 


29966 


29984 


30001 


30018 


30035 1 

i 


345 


1.30052 


30069 


30086 


30102 


30118 


30134 


30150 


30166 


30182 


30198 \ 


346 


.30213 


30228 


30243 


30258 


30273 


30288 


30303 


30318 


30332 


30346 


; 347 


.30360 


30374 


30388 


30402 


30415 


30428 


30441 


30454 


30467 


30480 ! 


348 


.30492 


30505 


30517 


30529 


30541 


30553 


30565 


30577 


30589 


30600 


349 


.30611 


30622 


30633 


30644 


30655 


30665 


30675 


30685 


30695 


30705 ! 

s 


350 


1.30715 


30725 


30735 


30744 


30753 


30762 


30771 


30780 


30789 


30798 


351 


.30806 


30814 


30822 


30830 


30838 


30846 


30854 


30861 


30868 


30875 


1 352 


.30882 


30889 


30896 


30903 


30909 


30915 


30921 


30927 


30933 


309: 59 


,' 353 


.30945 


30951 


30956 


30961 


30966 


30971 


30976 


30981 


30986 


30990 


354 


.30994 


30998 


31002 


31006 


31010 


31013 


31017 


31020 


31023 


31026 


,' 355 


1.31C29 


31032 


31035 


31038 


31040 


31042 


31044 


31046 


31048 


31050 


356 


.31051 


31053 


31054 


31055 


31056 


31057 


31058 


31058 


31059 


31059 


, 357 


.31059 


31059 


31059 


31059 


31058 


31058 


31057 


31056 


31055 


31054 


1 358 


.31053 


31052 


31051 


31049 


31047 


31045 


31043 


31041 


31039 


31036 


359 


.31033 


31030 


31027 


31024 


31021 


31018 


31015 


31012 


31008 


31004 


, 360 


1.31000 


30996 


30992 


30988 


30983 


30978 


30973 


30968 


30963 


30958 


361 


.30953 


30948 


30942 


30936 


30930 


30924 


30918 


30912 


30906 


30899 


362 


.30892 


30885 


30878 


30871 


30*64 


30856 


30849 


30841 


30833 


30825 


! 363 


.30817 


30809 


30801 


30792 


30783 


30774 


30765 


30756 


30747 


30738 


j| 364 
' 365 


.30728 


30719 


30709 


30699 


30689 


3C679 


30669 


30659 


30648 


30637 


1.30626 


30615 


30604 


30593 


30581 


30569 


3C557 


30545 


30533 


30521 


1 366 


.30509 


304-97 


30484 


30471 


30458 


30445 


30432 


30419 


30406 


30392 


j 367 


.30378 


30364 


30350 


30336 


30322 


30307 


30293 


30278 


30263 


30248 


368 


.30233 


30218 


30203 


30187 


30171 


30155 


30139 


30123 


30107 


30091 


369 

( 370 


.30074 


30057 


30040 


30023 


30006 


29989 


29972 


29954 


29936 


29918 


1.29900 


29882 


29864 


29846 


29827 


29808 


29789 


29770 


29751 


29732 



50 



GENERAL TABLES. 



TABLE XIX.— The Quantities Log. h, II and Log. i.— 1850. 

Argument = Arg. I -\- &' + Inequalities -f- day of year. 



Arg. 



Log. h. 




1 
2 
3 
4 

5 
6 

7 
8 
9 

JO 
11 
12 
13 
14 

If) 
16 
17 

18 
19 

20 
21 
22 
23 
24 

25 
26 
27 
28 
29 

30 
31 
32 
33 
34 

35 
36 
37 

38 
39 

40 
41 
42 
43 
44 

45 
46 
47 

48 
49 
50 



1.30986 
.30967 
.30947 
.30925 
.30900 

1.30873 
.30844 
.30813 
.30780 
.30745 

1.30709 
.30671 
.30631 
.30589 
.30545 

1.30499 
.30453 
.304(5 
.30354 
.30303 

1.30250 
.30196 
.30141 

.30085 
.30027 

1.29968 



.29847 
.29785 
.29723 

1.29660 
.29596 
.29532 
.29467 
.29401 

1.29335 
.29269 
.29202 
.29136 
.29070 

1.29004 
.28938 

.28872 
.28806 
.28741 

1.28676 
.28612 
.28549 
.28486 
.28424 

1.28364 



352 21.1 
351 24.7 

350 28.4 
349 32.0 
348 35.5 

347 38.9 
346 42.3 
345 45.6 
344 48.8 
343 51.9 

342 55.0 

341 58.0 

341 0.8 

340 3.6 

339 6.2 

338 8.7 
337 11.2 
336 13.5 
3:^5 15.6 
334 17.7 

333 19 6 
332 21.4 
331 23.0 
330 24.5 
329 25.9 

328 27.2 
327 28.3 
326 29.2 
325 30.0 
324 30.6 

323 31.0 
322 31.3 
321 31.4 
320 31.4 
319 31.3 

318 31.0 
317 30.5 
316 29.9 
315 29.1 

314 28.1 

313 26.9 
312 25.6 
311 24.2 
310 22.6 
309 20.8 

308 18 7 
307 16.6 
306 14.3 
305 11.9 
304 9.3 
303 6.6 



Log. i. 



n 0.0715 
.1212 

.1657 
.2060 

.2427 

n 0.2764 
.3075 
.3365 
.3635 

.3888 

n 0.4125 
.4349 
.4561 
.4761 

.4952 

n 0.5133 
.5305 
.5470 

.5627 
.5777 

n 0.5921 
.6059 
.6191 
.6318 
.6440 

n 0.6558 
.6671 

.6780 

.6884 
.6985 

n 0.7082 
.7176 
.7267 
.7354 

.7438 

n 0.7519 
.7597 
.7673 
.7746 
.7816 

n 0.7884 
.7950 
.8013 
.8074 
.8132 

n 0.8189 
.8243 
.8296 
.8346 
.8395 

n 0.8441 



Arg. 



51 
52 
53 
54 

55 

56 

57 
58 
59 
60 

61 
62 
63 
64 
65 

66 

67 

68 
69 
70 

71 
72 
73 
74 
75 

76 

77 
78 
79 
80 

81 

82 
83 

84 
85 

86 
87 
88 
89 
90 

91 
92 
93 
94 
95 

96 
97 

98 

99 

100 

101 



Log. h. 



1.28304 
.28245 

.28188 
.28132 
.28076 

1.28022 
.27970 
.27920 

.27872 
.27827 

1.27782 
.27738 
.27695 
.27654 
.27614 

1.27577 
.27543 
.27511 

.27482 
.27456 

1.27431 

.27408 
.27388 
.27370 
.27355 

1.27342 
.27332 
.27324 
.27318 
.27313 

1.27312 
.27314 
.27318 
.27324 
.27333 

1.27344 

.27358 
.27374 
.27392 
.27413 

1.27436 
.27461 

.27488 
.27517 
.27549 

1.27582 
.27617 
.27654 
.27694 
.27736 

1.27779 



H. 



302 3.7 

301 0.6 

299 57.4 

298 54. J 

297 50.7 

296 47.2 
295 43.5 
294 39.7 
293 35.7 
292 31.6 

291 27.5 
290 23.3 
289 19.0 
288 14.6 
267 10.0 

286 5.5 

285 0.9 
283 56.2 
282 51.4 
281 46.5 

280 41.7 
279 36.8 



Log. t. 



277 26.9 


276 21.8 


275 16.8 


274 11.8 


£73 6.8 


272 1.9 


270 57.0 


269 52.1 


268 47.2 


267 42.4 


266 37.7 


265 33.0 


264 28.4 


263 23.8 


262 19.3 


261 14.9 


260 10.7 


259 6.5 


258 2.4 


256 58.4 


255 54.5 


254 50.8 


253 47.2 


252 43.7 


251 40.4 


250 37.3 


249 34.3 


248 31.5 



« 0.8486 
.8529 
.8570 
.8610 
.8648 

n 0.8684 
.8718 
.8751 

.8782 
.8312 

n 0.8840 
.8867 
.8892 
.8916 
.8938 

n 0.8959 
.8978 
.8996 
.9013 
.9028 

n 0.9041 

.9054 
.9065 
.9075 
.9083 

n 0.9090 
.9096 
.91U0 
.9103 
.9105 

n 0.9106 
.9105 
.9103 
.9099 
.9095 

n 0.9089 
.9081 
.9073 
.9063 
.9052 

n 0.9039 
.9025 
.9010 

.8993 
.8976 

n 0.8956 
.8936 

.8914 

.8391 

.8866 

n 0.8340 



GENERAL TABLES. 



51 





TABLE XIX — 


Hie Quantities Log. h, H and Log 


. i— 1850. 


. 






Argument = 


= Arg. I + d> 


-f- Inequalities + day of year. 




Arg. 


Log. k. 


H. 


Log. i. 


Arg. 


Log. h. 


H. 


Log. i. 


102 


1.27824 


o / 

247 28.8 


n 0.8812 


153 


1.30658 


o / 

198 17.8 


n 0.4409 


103 


.27870 


246 26.3 


.8783 


154 


.30695 


197 24.2 


.4202 


104 


.27918 


245 23.9 


.8753 


155 


.30731 


196 30.7 


.3984 


105 


.27967 


244 21.6 


.8721 


156 


.30765 


195 37.3 


.3753 


106 


.28017 


243 19.6 


.8687 


157 


.30797 


194 44.0 


.3508 


107 


1.28069 


242 17.8 


n 0.8653 


158 


1.30827 


193 50.8 


n 0.3246 


108 


.28122 


241 16.2 


.8616 


159 


.30855 


192 57.6 


.2967 


109 


.28176 


240 14.8 


.8578 


160 


.30880 


192 4.5 


.2668 


110 


.28232 


239 13.5 


.8539 


161 


.30904 


191 11.5 


.2345 


111 


.28289 


238 12.4 


.8497 


162 


.30926 


190 18.5 


.1994 


112 


1.28347 


237 11.5 


n 0.8454 


163 


1.30947 


189 25.6 


n 0.1612 


113 


.28406 


236 10.8 


.8410 


164 


.30967 


188 32 8 


.1192 


114 


.28466 


235 10.3 


.8364 


165 


.30986 


187 40 


.0725 


115 


.28526 


234 10.0 


.8316 


166 


.31002 


186 47.3 


0.0201 


116 


.28587 


233 9.9 


.8266 


167 


.31016 


185 54.6 


9.9603 


117 


1.28648 


232 10.0 


n 0.8214 


168 


1.31028 


185 2.0 


n 9.8909 


118 


.28710 


231 10.3 


.8161 


169 


.31038 


184 9.4 


.8080 


119 


.28772 


230 10.8 


.8106 


170 


.31045 


183 16.8 


.7055 


120 


.28834 


229 11.6 


.8048 


171 


.31051 


182 24.2 


.5708 


121 


.28897 


228 12.5 


.7989 


172 


.31055 


181 31.7 


.3743 


122 


1.28960 


227 13.6 


n 0.7928 


173 


1.31057 


180 39.2 


n 9.0056 


123 


.29023 


226 14.9 


.7864 


174 


.31058 


179 46.7 


p 8.5337 


124 


.29086 


225 16.4 


.7799 


175 


.31057 


178 54.2 


9.2296 


125 


.29150 


224 18.2 


.7731 


176 


.31055 


178 1.7 


.4844 


126 


.29214 


223 20.1 


.7661 


177 


.31050 


177 9.2 


.6438 


127 


1.29277 


222 22.2 


n 0.7588 


178 


1.31043 


176 16.7 


9.7601 


128 


.29340 


221 24.5 


.7513 


179 


.31033 


175 24.2 


9.8516 


129 


.29403 


220 27.0 


.7436 


180 


.31021 


174 31.6 


.9270 


130 


.29465 


219 29.7 


.7356 


181 


.31008 


173 39.0 


9.9912 


131 


.29527 


218 32.5 


.7273 


182 


.30994 


172 46.4 


0.0470 


132 


1.29589 


217 35.5 


n 0.7187 


183 


1.30978 


171 53.7 


0.0963 


133 


.29649 


216 38.7 


.7098 


184 


.30960 


171 1.1 


.1405 


134 


.29709 


215 42.1 


.7007 


185 


.30939 


170 8.4 


.1804 


135 


.29768 


214 45.9 


.6912 


186 


.30917 


169 15.7 


.2169 


136 


.29826 


213 49.7 


.6813 


187 


.30893 


168 22.9 


.2505 


137 


1.29884 


212 53.6 


n 0.6712 


188 


1.30867 


167 30.0 


0.2815 


138 


.29941 


211 57.7 


.6606 


189 


.30840 


166 37.0 


.3104 


139 


.29998 


211 2.0 


.6497 


190 


.30811 


165 43 9 


.3373 


140 


.30054 


210 6.6 


.6384 


191 


.30781 


164 £0.8 


.3626 


141 


.30108 


209 11.2 


.6266 


192 


.30749 


163 57.6 


.3863 


142 


1.30161 


208 16.0 


n 0.6144 


193 


1.30715 


163 4.3 


0.4088 


143 


.30213 


207 20.9 


.6018 


194 


.30679 


162 10.9 


.4300 


144 


.30263 


206 26.0 


.5886 


195 


.30642 


161 17.4 


.4501 


145 


.30313 


205 31.2 


.5749 


196 


.30604 


160 23.8 


.4692 


146 


.30361 


204 36.6 


.5606 


197 


.30564 


159 30.1 


.4873 


147 


1.30408 


203 42.1 


n 0.5457 


198 


1.30522 


158 36.3 


0.5047 


148 


.30453 


202 47.8 


.5302 


199 


.30479 


157 42.5 


.5212 


149 


.30497 


201 53.6 


.5140 


200 


.30434 


156 48.6 


.5370 


150 
151 


.30540 


200 59.5 


.4970 


201 


.30389 


155 54.3 


.5522 


.30581 


200 5.5 


.4792 


202 


.30342 


154 59.9 


.5667 


152 

y — 


1.30620 


199 11.6 


n 0.4605 


203 


1.30294 


154 5.3 


0.5807 



52 



GENERAL TABLES. 



TABLE XIX.— The Quantities Log. h, H and log. i— 1850. 

Argument = Arg. I + d' + Inequalities -f- day of year. 



Arg. 



204 

205 
206 
207 

208 



214 
215 
216 

217 
218 

219 

220 
221 

222 
223 

224 

225 
226 
227 

228 

229 
230 
231 
232 
233 

234 

235 
236 
237 
238 

239 
240 
241 
242 
243 

244 

245 
246 
247 

248 

249 
250 
251 
252 

253 
254 



Log. k. 



H. 



1 30244 
.30192 
.30140 

.30087 
.30033 



209 


1.29977 


210 


.29921 


211 


.29864 


212 


-.29806 


213 


.29747 



1.29688 
.29638 
.29568 
.29507 
.29446 

129384 
.29321 
.29259 
.29197 
.29134 

129071 
.29007 
.28944 

.28881 
.28819 

1.28757 
.28696 
.28635 

.28574 

.28514 

1.28455 
.28396 
.28338 
.28281 
.28225 

1.28170 
.28116 
.28063 
.26011 
.27961 

127913 

.27867 
.27822 
.27778 
.27736 

1.27695 
.27655 
.27618 
.27583 
.27550 

1.27519 



153 10.5 
152 16.6 
151 21 8 
150 26.8 
149 31.7 

148 36.5 
147 41.3 
146 45.8 
145 50.1 
144 54.2 

143 58.2 



143 
142 
141 

140 



J5.0 

!).6 

9.1 

12.4 



139 15 5 

138 18 4 
137 21.2 
136 23.8 
135 26.2 

134 28 3 
133 30 2 
132 32.0 
131 33.6 
130 35.0 

129 36.2 
128 37.3 
127 38.2 
126 38.9 
125 39.4 

124 39 7 
123 39.8 
122 39.7 
121 39.4 
120 38 9 



119 38.3 


118 37.5 


117 36.5 


116 353 


115 33.9 


114 32 4 


113 30 8 


112 29.0 


111 27.1 


110 25.0 


109 22 6 


108 20.1 


107 17.5 


106 14.8 


105 120 


104 9.0 



Log./. 



0.5941 
.6070 
.6194 
.6313 

.6428 

0.6539 
.6646 
.6750 
.6849 
.6946 

0.7039 
.7129 
.7216 
.7300 
.7381 

0,7460 
.7536 
.7609 
.7681 
.7749 

0.7816 
.7881 
.?943 
.8003 
.8061 

0.8118 
.8172 
.8225 
.8275 
.8324 

0.8371 

.8417 
.8461 
.8503 
.8544 

0.8583 
.8620 
.,8656 
.8690 
.8723 

0.8755 
.8785 
.8813 
.8840 
.8866 

0.8891 
.8914 
.8935 
.8956 
.8975 

0.8993 



Arg. 



Log. h. 



255 

256 

257 
258 
259 

260 
261 
262 
263 
264 

265 
266 
267 
268 
269 

270 
271 

272 
273 
274 

275 

276 
277 
278 
279 

280 

281 
282 
283 
284 

285 
286 
287 
288 
289 

290 
291 
292 
293 
294 

295 
293 
29/ 
298 
299 

300 
301 
302 
303 

304 
3C5 



1.27490 
.27463 

.27438 
.27415 
.27394 

1.27376 
.27360 
.27346 
.27335 
.27326 

1.27319 
.27315 
.27313 
.27313 
.27316 

1.27321 

.27328 
.27337 
.27349 
.27364 

1.27382 

.27402 
.27424 

.27448 
.27474 

1.27502 
.27532 
.27565 
.27600 
.27637 

1.27675 
.27715 
.27757 

.27801 

.27847 

1.27896 
.27945 
.27996 
.28048 
.28102 

1.28158 
.28214 
.28271 
.28329 
.28389 

1.28450 
.2*512 
.28574 
.28637 
.287 1 

1.28765 



103 5.9 

102 2.7 

100 59.4 

99 56.0 

98 52.5 

97 48.8 
96 45.2 
95 41.5 
94 37.7 
93 33.7 

92 29.7 
91 25.6 
90 21.5 
89 17.3 
88 13.2 

87 9.1 
86 4.9 
85 0.7 
83 56.5 
82 52.3 

81 48.2 
80 44.0 
79 39.9 
78 35.8 
77 31.7 

76 27.6 
75 23.6 
74 19.7 
73 15.8 



72 1^.0 
71 8.3 


70 4.7 


69 1.2 


67 57.7 


66 54.3 


65 51.0 


64 47!9 


63 44.9 


62 42.0 


61 39.1 


60 36 3 


59 33.7 


58 31.3 


57 29.0 


56 26.8 


55 24.7 


54 22 8 


53 21 


52 19 4 


5! 28 


50 [6.7 



Log. i. 



0.9009 
.9024 
.9038 
.9050 
.9062 

0.9072 
.9080 
.9088 
.9094 
.9099 

0.9102 
.9105 
.9106 
.9105 
.9104 

0.9101 
.9097 
.9092 
.9085 
.9077 

0.9068 
.9058 
.9046 
.9033 
.9018 

0.9002 

.8985 
.8966 
.8946 
.8925 

0.8902 

.8878 
.8852 
.8825 
.8798 

0.8766 
.8735 
.8701 
.8666 
.8630 

0.8592 
.8552 
.8510 

.8467 
.8422 

0.8375 
.8326 
.8275 
.8223 
.8168 

8111 



GENERAL TABLES. 





TABLE XII- 


The Quantities Log. n, H and Log 


. i.— 1850. 








Argument = 


= Arg. I -f- d< 


-f- Inequalities -f- day < 


3f year. 




! 

Arg. 


Log. k. 


H. 


Log. i. 


Arg. 


Log. h. 


H. 


Log. i. 


306 


1.28829 


o / 

49 15.5 


0.8052 


338 


1.30676 


o / 

17 54.1 


0.4319 


307 


.28894 


48 14.5 


.7991 


339 


.30714 


16 57.3 


.4094 


308 


.28959 


47 13.6 


.7928 


340 


.30750 


16 0.6 


.3856 


309 


.29025 


46 12.9 


.7862 


341 


.30784 


15 3.9 


.3601 


310 


.29091 


45 12.4 


.7794 


342 


.30816 


14 7.3 


.3330 


311 


1.29157 


44 12.0 


0.7723 


343 


1.30846 


13 10.8 


0.3039 


312 


.29223 


43 11.7 


.7650 


344 


.30875 


12 14.4 


.2725 


313 


.29289 


42 11.6 


.7575 


345 


.30902 


11 18.0 


.2386 


314 


.29354 


41 11.7 


.7496 


346 


.30927 


10 21.6 


.2016 


315 


.29419 


40 11.9 


.7415 


347 


.30950 


9 25.3 


.1610 


316 


1.29484 


39 12.2 


0.7331 


348 


1.30971 


8 -29.0 


0.1161 


317 


.29549 


38 12.7 


.7243 


349 


.30989 


7 32.8 


.0658 


318 


.29613 


37 13.3 


.7153 


350 


.31005 


6 36.6 


O.O087 


319 


.29676 


36 14.1 


.7059 


351 


.31019 


5 40.4 


9.9428 


320 


.29738 


35 15.1 


.6961 


352 


.31031 


4 44.3 


.8650 


( s 321 


1.29800 


34 16.2 


0.6860 


353 


1.31041 


3 48.2 


9.7698 


322 


.29861 


33 17.4 


.6755 


354 


.31049 


2 52.1 


.6476 


1 323 


.29921 


32 18.8 


.6646 


355 


.31054 


1 56.1 


.4767 


324 


.29980 


31 20.3 


.6533 


356 


.31057 


1 0.1 


9.1905 


325 
I 


.30039 


30 22.0 


.64 6 


357 


.31058 


4,0 


8.0144 


326 


1.30097 


29 23.7 


0.6293 


358 


1.31057 


359 7.9 


n 9.1284 


327 


.30153 


28 25.6 


.6166 


359 


.31054 


358 11.8 


.4458 


328 


.30208 


27 27.6 


.6033 


360 


.31049 


357 15.7 


.6271 


329 


.30261 


26 29.8 


.5895 


361 


.31042 


356 19.6 


.7545 


330 


.30312 


25 32.1 


.5751 


362 


.31033 


355 23.4 


.8528 


331 


.30363 


24 34.5 


.5600 


363 


.31022 


354 27.2 


9.9328 


332 


1.30412 


23 37.0 


0.5443 


364 


1.31008 


353 31.0 


n 0,0002 


333 


.30460 


22 39.6 


.5278 


365 


.30992 


352 34.7 


.0585 


334 


.30507 


21 42.3 


.5105 


366 


.30974 


351 38.4 


.1097 


335 


.30552 


20 45.1 


.4924 


367 


.30954 


350 42.1 


.1554 


1 336 


.30595 


19 48.0 


.4733 


368 


.30931 


349 45.7 


.1966 


337 


1.30636 


18 51.0 


0.4532 


369 


1.30906 


348 49.2 


n 0.2341 


1 

i 






V 








1 



















54 



GENERAL TABLES. 



TABLE XX.— For Annual Precessions in Right Ascension.— 1850.0. 

log. Ao a = 0.12616,2 + log. sin a — 0.00000,187 (t — 1850). Arg. = Star's Mean Right Ascension. 



0'> + 

12 h — 



m 

1 

2 

3 

4 

5 

6 

7 
8 
9 

10 
11 
12 
13 
14 

15 

16 
17 
18 
19 
20 
21 
22 
23 
24 

25 
26 
27 
28 
29 
30 
31 
32 
33 
34 

35 
36 
37 
38 
39 
40 
41 
42 
43 
44 

45 
46 

47 
48 
49 

50 
51 
52 
53 

54 

55 
56 

57 
58 
59 



Diff. 

for 10 s 



s 



+723 
659 
603 
556 
516 
483 
452 
425 
401 
380 

361 
344 
328 
314 
301 

289 
277 
267 
257 
248 
240 
232 
225 
218 
211 
205 
200 
194 
189 
184 

179 
174 
170 
167 
163 

159 
156 
152 
149 
145 

142 
140 
137 
134 
132 

129 
127 
125 
122 

+120 



0.00000 
0583 
1167 
1750 
2334 

2917 
3500 

4083 
4666 
5249 



10 s 



8.76584 
86721 
84496 
87969 
91184 

94176 

96974 
99603 
9.02081 
04424 
06646 
08759 
10773 
12698 
14540 

16306 
18002 
19634 
21206 
22722 

24186 
25602 
26972 
28299 
29586 
30836 
32049 
33229 
34377 
35495 

36583 
37644 
38679 
39690 
40676 

41640 
42582 
43503 
44404 
45286 
46150 
46996 
47825 
48638 
49435 

50216 

50984 

51737 

52476 

9.53202 



60 B 



0.00097 
0681 
1264 
1847 
2431 

3014 

3597 
4181 
4764 

5347 



20 s 



8.77301 
81373 
85095 
88522 
91697 

94655 
97424 

9.00026 
02480 
04802 

07005 
09101 
11100 
13010 
14839 

16594 

18278 
19900 
21462 
22969 

24425 
25833 
27196 
28516 
29797 

31040 
32248 
33422 
34565 
35678 

36762 

37818 
38849 
39856 
40838 

41798 
42737 
43655 
44552 
45431 
46292 
47136 
47962 
48772 
49566 

50345 
51110 
51861 
52598 
9.53322 



50 s 



0.00195 
0778 
1361 
1945 
2528 

3111 

3695 
4278 
4861 
5444 



30 s 



8.78007 
82016 
85685 
89067 
92204 
95129 
97869 

9.00445 
02876 
05177 

07362 
09441 
1 1425 
13321 
15136 

16879 
18553 
20164 
21717 
23215 

24663 
26063 
27419 
28733 
30007 
31244 
32446 
33615 
34753 
35861 
36940 
37992 
39019 
40021 
41000 

41956 

42891 
43806 
44700 
45576 
46434 
47275 
48098 
48905 
49697 

50474 
51236 
51985 
52720 
9.53142 



40 s 



0.00292 
0875 
1458 
2042 
2625 
3208 
3792 
4375 
4958 
5541 



40 s 



8.78701 
82650 
86267 
89606 
92706 

95598 
98309 
9.00860 
03268 
05549 
07716 
09778 
11747 
13629 
15432 

17162 

18826 
20427 
21971 
23460 
24900 
26292 
27641 
28948 
30216 
31447 
32643 
33807 
34940 
36042 
37117 
38165 
39188 
40186 
41161 
42113 
43045 
43956 
44847 
45720 

46575 
47413 
48234 

49038 
49828 
50602 
51362 
52109 
52841 
9.53561 



30 s 



0.00389 
0972 
1556 
2139 
2723 

33CC 

3889 
4472 
5055 
5638 



50 s 



0.00486 
1070 
1653 
2236 

2820 

3403 
3986 
4569 
5152 

5735 



8.79385 
83274 
86842 
90138 
93201 
96062 
98743 

9.01271 
03657 
05918 

08066 
10112 
12066 
13934 
15725 
17444 
19097 
20688 
22223 
23703 

25135 
26520 
27861 
29162 
30423 

31649 
32840 
33998 
35125 
36223 
37294 
38337 
39356 
40350 
41321 
42270 
43198 
44106 
44994 
45864 
46716 
47551 
48369 
49171 
49958 

50730 
51487 
52232 

52962 
9.53680 



20 s 



8.80058 
83889 
87409 
90664 
93691 

96520 
99176 
9.01678 
04042 
06284 
08414 
10444 
12383 
14238 
16016 
17724 
19366 
20948 
22473 
23945 



59 m 

58 

57 

56 

55 

54 
53 

52 
51 

50 



49 
48 
47 
46 
45 
44 
43 
42 
41 
40 

39 
38 
37 
36 
35 
34 
33 
32 
31 
30 



25369 


29 


26747 


28 


28080 


27 


. 29375 


26 


30630 


25 


31849 


24 


33035 


23 


34188 


22 


35310 


21 


36403 


20 


37470 


19 


38508 


18 


39523 


17 


40513 


16 


41481 


15 


42426 


14 


4335 L 


13 


44255 


12 


45140 


11 


46007 


10 


46856 


9 


47688 


8 


48504 


7 


49303 


6 


50087 


5 


50857 


4 


51612 


3 


52354 


2 


53082 


1 


9.53798 





10 s 


H h + 1 




23 11 — ! 



Annual Precession, A a = 3.07177 + Ao a tan 6 + 0.'o0001,9 (t — 1850). 



GENERAL TABLES. 



55 



TABLE XX.— Annual Precessions in Declination.— 1850.0. 

A <J = 20.'o564 cos a — 0.0000,86 cos a (t — 1850). Arg. = Star's Mean Right Ascension. 



Var. in 

100 yn. 



—0.0086 

86 
86 
86 
86 
86 
86 
86 
86 
86 

86 
86 
86 
' 86 
86 
86 
86 
86 
86 
86 

86 

86 
86 
86 
86 

85 
85 
85 
85 
85 
85 
85 
85 
85 
85 
85 
85 
85 
85 
85 
85 
85 
85 
84 
84 

84 
84 
84 
84 
84 

84 
84 
84 

§ 4 
84 

84 
83 
83 
83 
-0.0083 



0» + 
12 h — 



m 

1 

2 

3 

4 

5 

6 

7 

8 

9 
10 
11 
12 
13 
14 

15 
16 
17 
18 
19 

20 
21 
22 
23 
24 
25 
26 
27 
28 
29 
30 
31 
32 
33 
34 

35 
36 
37 

38 
39 

40 
41 
42 
43 
44 
45 
46 
47 
48 
49 
50 
51 
52 
53 
54 

55 
56 
57 
58 
59 



Diff. 

for 10 s 



s 



10 s 






— 1 

2 
2 

3 
4 

4 
5 
6 

6 

7 
8 
8 
9 

10 
10 
]1 
12 
12 
13 
13 
14 
15 
15 

16 
16 
17 

18 
18 

39 

20 
20 
21 
22 
22 
23 
23 
24 
25 
25 
26 
26 
27 
28 
28 
29 
30 
30 
31 
31 
32 
33 
33 
34 

35 
35 
36 
36 
—37 



20.0564 
0562 
0556 
0547 
0533 
0516 
0495 
0470 
0442 
0409 
0373 
€333 
0289 
0241 
0190 

0135 

0075 
20.0012 
19.9946 

9875 

9801 
9723 
9641 
9555 
9465 

9372 
9275 
9174 

9069 



8848 
8732 
8612 
8488 
8361 

8230 
8095 
7956 
7813 
7667 
7517 
7363 
7205 
7044 
6879 
6710 
6538 
6361 
6181 
5997 

5810 
5619 
5424 
5225 

5022 

4816 
4606 
4393 
4176 
19.3955 

60 s 



20.0564 
0562 
0555 
0545 
0531 

0513 

0491 
0466 
0437 
0401 

0367 
0326 
0281 
0233 
0181 
0125 
0065 
20.0002 
19.9934 
9863 

9788 
9709 
9627 
9540 
9450 

9356 

9258 
9157 
9051 
8942 
8829 
8712 
8592 
8467 
8339 

8207 
8072 
7933 
7789 
7642 

7492 
7337 
7179 
7017 
6851 
6682 
6509 
6332 
6151 
5966 
5778 
5586 
5391 
5191 
4988 

4782 
4571 
4357 
4139 
19.3917 

50 s 



20 s 



30 s 



20.0564 
0561 
0554 
0543 

0528 

0510 
0487 
0461 
0432 
0398 

0360 
0319 
0274 
0225 
0172 
0115 
20.0055 
19.9991 
9923 
9851 

9775 
9696 
9612 
9525 
9435 
9340 
9242 
9139 
9033 
8923 
8810 
8692 
8571 
8446 
8318 

8185 
8049 
7909 
7765 
7617 

7466 
7311 
7152 
6990 
6823 

6653 
6479 
6302 
6120 
5935 

5746 
5554 
5358 
5158 
4954 
4747 
4536 
4321 
4103 
19.3880 

40 s 



40 s 



50 s 



20.0563 
0560 
0552 
0541 
0525 

0506 
0483 
0457 
0426 
0392 
0353 
0311 
0266 
0216 
0163 

0105 
20.0044 
19.9980 

9911 

9838 

9762 
'9682 
9598 
9511 
9419 

9324 
9225 
9122 
9015 
8905 
8791 
8672 
8551 
8425 
8296 
8163 
8026 
7885 
7741 
7592 

7440 

7285 
7125 
6962 
6795 
6624 
6450 
6272 
6090 
5904 

5715 

5522 
5325 
5124 
4920 

4712 

4500 

4285 

4066 

19.3843 

30 s 



20.0563 
0559 
0550 
0538 
0522 
0503 
0479 
0452 
0421 
0386 
0347 
0304 
0258 
0207 
0153 

0095 
20.0034 
19.9968 
9899 
9826 
9749 
9668 
9584 
9496 
9403 
9308 
9208 
9104 
8997 
8886 

8771 
8652 
8530 
8404 
8274 

8140 
8003 
7861 
7716 
7567 

7415 

7258 
7098 
6935 
6767 

6596 
6421 
6242 

6059 

5872 
5683 
5489 
5291 
5090 
4885 

4677 
4464 

4248 

4029 

19.3805 

20 s 



20.0563 
0558 
0549 
0536 
0519 
0499 
0475 
0447 
0415 
0379 

0340 
0297 
0250 
0199 
0144 

0085 

20.0023 

19.9957 

9887 

9813 

9736 

9655 
9569 
9481 
9388 
9291 
9191 
9087 
8979 
8867 

8752 
8632 
8509 
8383 
8252 
8117 
7979 
7837 
7692 
7542 

7389 
7-232 
7071 
6907 
6739 

6567 
6391 
6212 
6028 
5841 
5651 
5456 
5258 
5056 
4851 

4642 
4429 
4212 
3992 
19.3768 

10 s 



59™ 
58 

57 



54 
53 
52 
51 

50 

49 
48 
47 
46 
45 

44 
43 
42 
41 

40 
39 
38 
37 
36 
35 
34 
33 
32 
31 
30 

29 
28 
27 
26 
25 

24 
23 
22 
21 
20 
19 
18 
17 
16 
15 
14 
13 
12 
11 
10 

9 
8 
7 
6 
5 
4 
3 
2 
1 


ll 1 '- 

23 1 >-r- 



56 



GENERAL TABLES. 





TABLE XX.— For Annual Precessions 


in Right Ascension.— 


1850.0. 


1 




log, Ao a 


= 0.12616,2 -flog. 


sin a — 0.00000,187 (t — 1850). Arg. 


= Star's Mean Right Ascension. 




1" + 
13 1 * — 

m 


Diff. 1 

for 10 s 


s 


10 s 


20 s 


80 s 


40 s 


50 s 






+118 


9.53916 


9.54034 


9.54151 


9.54268 


9.54385 


9.54501 


59 m 




1 


116 


54617 


54733 


54848 


54963 


55078 


55192 


58 




2 


114 


55:?06 


55420 


55533 


55646 


55759 


55872 


'57 




3 


112 


55984 


56095 


56207 


56318 


56429 


56540 


56 




4 


110 


56650 


56760 


56870 


56979 


57088 


57197 


55 




5 


108 


57306 


57414 


57522 


57629 


57737 


57844 


54 




6 


106 


57950 


58057 


58163 


58269 


58375 


58480 


53 




7 


105 


58585 


58690 


58794 


58899 


59003 


59106 


52 




8 


104 


59210 


59313 


59416 


59518 


59621 


59723 


51 




9 


102 


59825 


59926 


60028 


60129 


60230 


60330 


50 




10 


100 


60430 


60530 


60630 


60730 


60829 


60928 


49 




11 


98 


61027 


61125 


61224 


61322 


61420 


61517 


48 




12 


97 


61614 


61711 


61808 


61905 


62001 


62097 


47 




J3 


96 


62193 


62289 


62384 


62480 


62575 


62669 


46 




14 


95 


62764 


62858 


62952 


63046 


63140 


63233 


45 




15 


93 


63326 


63419 


63512 


63604 


63696 


63789 


44 




lb' 


91 


63880 


63972 


64063 


64155 


64246 


64336 


43 




17 


90 


6-4427 


64517 


64607 


64697 


64787 


64876 


42 




18 


89 


64966 


65055 


65144 


65232 


65321 


65409 


41 




19 


88 


65497 


65585 


65673 


65760 


65847 


65934 


40 




20 


87 


66021 


66108 


66194 


66281 


66367 


66453 


39 




21 


85 


66538 


66624 


66709 


66794 


66879 


66964 


38 




22 


84 


67049 


67133 


67217 


67301 


67385 


67469 


37 




23 


83 


67552 


67635 


67718 


67801 


67884 


67967 


36 




24 


82 


68049 


68131 


68213 


68295 


68377 


68458 


35 




25 


81 


68540 


68621 


68702 


68782 


68863 


68943 


34 




26 


80 


69024 


69104 


69184 


69263 


69343 


69422 


33 




27 


79 


69502 


69581 


69660 


69738 


69817 


69895 


32 




28 


78 


69974 


70052 


70130 


70207 


70285 


70363 


31 




29 


77 


70440 


70517 


70594 


70671 


70747 


70824 


30 




30 


76 


70900 


70976 


71052 


71128 


71204 


71279 


29 




31 


75 


71355 


71430 


71505 


71580 


71655 


71729 


28 




32 


74 


71804 


71878 


71952 


72027 


72100 


72174 


27 




33 


73 


72248 


72321 


72394 


72467 


72541 


72613 


26 




34 


73 


72686 


72759 


72831 


72903 


72976 


73048 


25 




35 


72 


73119 


73191 


73263 


73334 


73405 


73476 


24 




36 


71 


73547 


73618 


73689 


73760 


73830 


73900 


23 




37 


70 


73971 


74041 


74111 


74180 


74250 


74320 


22 




38 


69 


74389 


74458 


74527 


74596 


74665 


74734 


21 




39 


+ 68 


74802 


74871 


74939 


75007 


75075 


75143 


20 




40 


-f677 


752110 


752787 


753462 


754136 


754809 


755480 


19 




41 


670 


756151 


756820 


757488 


758154 


758819 


759483 


18 




42 


663 


760146 


760808 


761468 


762127 


762785 


763441 


17 




43 


655 


764097 


764751 


765404 


766056 


766706 


767356 


16 




44 


648 


768004 


768651 


769296 


769941 


770584 


771227 


15 




45 


640 


771868 


. 772507 


773146 


773784 


774420 


775055 


14 




46 


634 


775689 


776322 


776954 


777584 


778214 


778842 


13 




47 


627 


779469 


780095 


780720 


781344 


781967 


782588 


12 




48 


620 


783209 


783828 


784446 


785063 


785679 


786294 


11 




49 


613 


786908 


787520 


788132 


788742 


789352 


789960 


10 




50 


607 


790567 


791174 


791779 


792383 


792986 


793587 


9 




51 


601 


794188 
797771 


794788 


795387 


795984 


796581 


797177 


8 




52 


594 


798365 


798957 


799548 


800139 


800728 


7 




53 


588 


801316 


801904 


802490 


803075 


803659 


804242 


6 




54 


582 


804825 


805406 


805986 


806565 


807143 


807721 


5 




55 


576 


808297 


808872 


809446 


810019 


810591 


811163 


4 




56 


570 


811733 


812302 


812871 


813438 


814004 


814570 


3 




57 


564 


815134 


815698 


816260 


816822 


817382 


817942 


2 




58 


Fc.8 


818501 


819058 


819615 


820171 


820726 


821280 


1 




59 


+5,3 


9.821833 


9.822385 


9.822936 


9.823487 


9.824036 


. 9.824584 











| 6 ° a 


50 8 


40 s 


30 s 


20 s 


10 s 


10 l > + 
22 h — 


j 



Annual Precession, A a = 3.07177 + Ao a fa n 6 + 0.00001,9 (t — 1850). 



GENERAL TABLES. 



57 







TABLE XX.— Annual Precessions in Declination.— 1850.0. 






&<$ = 


= 20.'o564 cos < 


z — 0'.0000,86 cos a (t - 


- 1850). Arg. = Star 


's Mean Right Ascension. 


Var. in 


lb + 


Diff. 


s 


10 s 


20 s 


30 s 


40 s 


50 8 




100 yrs. 


,:ih ~ 


for 10 s 
















— o!bo83 


Qm 


—38 


19". 3730 


19.'3692 


19.'3654 


19.'3616 


19"3578 


19.'3540 


59 m 


83 


1 


38 


3502 


3463 


3425 


3386 


3347 


3309 


58 


83 


2 


39 


3270 ' 


3231 


3191 


3152 


3113 


3073 


57 


83 


3 


40 


3034 


2994 


2955 


2915 


2875 


2335 


56 


83 


4 


40 


2794 


2754 


2714 


2673 


2633 


2592 


55 


83 


5 


41 


2551 


2511 


2470 


2429 


2387 


2346 


54 


82 


6 


42 


2305 


2263 


2222 


2180 


2138 


2096 


53 


82 


7 


42 


2054 


2012 


1970 


1928 


1885 


1843 


52 


82 


8 


43 


/ 1800 


1758 


1715 


1672 


1629 


1586 


51 


82 


9 


43 


1543 


1499 


1456 


1412 


1369 


1325 


50 


82 


10 


44 


1281 


1237 


1193 


1149 


1105 


1061 


49 


82 


11 


44 


1016 


0972 


0927 


0882 


0838 


0793 


48 


82 


12 


45 


0748 


0703 


0657 


0612 


0567 


0521 


47 


82 


13 


45 


0475 


04?0 


0384 


0338 


0292 


19.0246 


46 


82 


14 


46 


19.0200 


19.0153 


19.0107 


19.0060 


19.0013 


18.9967 


45 


81 


15 


47 


18.9920 


18.9873 


18.9826 


18.9779 


18.9732 


9684 


44 


81 


16 


48 


9637 


9589 


9542 


9494 


9446 


9398 


43 


81 


17 


48 


9350 


9302 


9254 


9205 


9157 


9109 


42 


81 


18 


49 


9060 


9011 


8962 


8913 


8864 


8815 


41 


81 


19 


49 


8766 


8717 


8667 


8618 


8568 


8518 


40 


81 


20 


49 


8469 


8419 


8360 


8318 


8268 


8218 


39 


81 


21 


50 


8167 


8117 


8066 


8016 


7965 


7914 


38 


81 


22 


51 


7863 


7812 


7760 


7709 


7658 


7606 


37 


80 


23 


51 


7554 


7503 


7451 


7399 


7347 


7295 


36 


80 


24 


52 


7243 


7190 


7138 


7085 


7033 


6980 


35 


80 


25 


53 


6927 


6874 


6821 


6768 


6715 


6662 


34 


80 


26 


1 53 


6608 


6555 


6501 


6447 


6394 


6340 


33 


80 


27 


54 


6286 


6232 


6178 


G123 


6069 


6014 


32 


80 


28 


55 


5960 


5905 


5850 


5795 


5740 


5685 


31 


80 


29 


55 


5630 


5575 


5519 


5464 


5408 


5353 


30 


79 


30 


56 


5297 


5241 


5185 


5129 


5073 


5017 


29 


79 


31 


56 


4960 


4904 


4847 


4791 


4734 


4677 


28 


79 


32 


57 


4620 


4563 


4506 


4449 


4391 


4334 


27 


79 


33 


58 


4276 


4219 


4161 


4103 


4045 


3987 


26 


79 


34 


58 


3929 


3871 


3813 


3754 


3696 


3637 


25 


79 


35 


59 


3578 


3520 


3461 


3402 


3343 


3284 


24 


79 


36 


59 


3224 


3165 


3106 


3046 


2986 


2927 


23 


78 


37 


60 


2867 


2807 


2747 


2686 


2626 


2566 


22 


78 


38 


60 


2505 


2445 


2384 


2323 


2263 


2202 


21 


78 


39 


61 


2141 


2080 


2018 


1957 


1896 


1834 


20 


78 


40 


61 


1773 


1711 


1649 


1587 


1525 


1463 


19 


78 


41 


62 


1401 


1339 


1276 


1214 


1151 


1089 


18 


78 


42 


63 


1026 


0963 


0900 


0837 


0774 


0711 


17 


77 


43 


64 


0648 


0584 


0521 


0457 


0393 


18.0330 


16 


77 


44 


64 


18.0266 


18.0202 


18.0138 


18.0073 


18.0009 


17.9945 


15 


77 


45 


65 


17.9880 


17.9816 


17.9751 


17.9686 


17.9622 


9557 


14 


77 


46 


65 


9492 


9427 


9361 


9296 


9230 


9165 


13 


77 


47 


66 


9099 


9034 


8968 


8902 


8836 


8770 


12 


77 


48 


66 


8704 


8638 


8571 


8505. 


8438 


8372 


11 


76 


49 


67 


8305 


8238 


8171 


8104 


8037 


7970 


10 


76 


50 


67 


7902 


7835 


7768 


7700 


7632 


7565 


9 


76 


51 


68 


7497 


7429 


736 L 


7292 


7224 


7156 


8 


76 


52 


69 


7087 


7019 


6950 


6382 


6813 


6744 


7 


76 


53 


69 


6675 


6606 


6537 


6467 


• 6398 


6329 


6 


76 


54 


70 


C259 


6189 


6120 


6050 


5930 


5910 


5 


75 


55 


70 


5840 


5770 


5699 


5629 


5558 


5488 


4 


75 


56 


71 


5417 


5347 


5276 


5205 


5134 


' 5063 


3 


75 


57 


71 


4991 


4920 


4849 


4777 


4706 


4634 


2 


75 


58 


72 


4562 


4490 


4418 


4346 


4274 


4202 


1 


—0.0075 


59 


—72 


17.4129 


17.4057 


17.3985 


17.3912 


17.3839 


17.3766 











60 s 


50 s 


40 s 


30 s 


20 s 


10 s 


10 h — 
22'i-f 



58 






GENERAL TABLES 


■ 










TABLE XX.— For Annual Precessions in Right Ascension.- 


-1850.0. 




log. A 


c = 0.12616,2+ log 


sin a— 0.00000,187 (t — 


1850). Arg 


= Star's Mean Right Ascension. 1. 


2* + 
14 h — 


Diff. 

for 10 s 


s 


10 s 


20 s 


'30 s 


40 s 


50 s 






m 


+547 


9.825132 


9.825678 


9.826224 


9.826769 


9.827312 


9.827855 


59 m 




1 


542 


828397 


828939 


829479 


830018 


830556 


831094 


58 




2 


536 


831631 


832166 


' 832701 


833235 


833768 


834300 


57 




3 


531 


834832 


835362 


835892 


836420 


836948 


837475 


56 




4 


526 


838001 


838526 


839051 


839574 


840097 


840618 


55 




5 


521 


841139 


8416">9 


842179 


842697 


843214 


843731 


54 




6 


516 


844247 


844762 


845276 


845789 


846302 


846813 


53 




7 


511 


847324 


847834 


848343 


848851 


849359 


849866 


52 




8 


505 


850371 


850876 


851381 


851884 


852387 


852888 


51 




9 


500 


853389 


853889 


854389 


854887 


855385 


855882 


50 




10 


496 


856378 


856874 


857363 


857862 


858355 


858847 


49 




11 


491 


859338 


859829 


860319 


860808 


861296 


861784 


48 




12 


486 


862270 


862756 


863242 


863726 


864210 


864693 


47 




13 


482 


865175 


865656 


866137 


866616 


867095 


867574 


46 




14 


477 


868051 


8685^8 


869004 


869479 


869954 


870428 


45 




15 


472 


870901 


871373 


871844 


872315 


872785 


873255 


44 




16 


468 


873723 


874191 


874658 


875125 


875590 


876055 


43 




17 


464 


876520 


876983 


877446 


877908 


878369 


878830 


42 




18 


460 


879290 


889749 


880207 


880665 


881122 


881579 


41 




19 


455 


882034 


, 882489 


882943 


883397 


883850 


884302 


40 




20 


451 


884753 


885204 


885654 


886103 


886552 


887000 


39 




21 


447 


887447 


887893 


838339 


888784 


889229 


889673 


38 




22 


443 


890116 


890558 


891000 


891441 


891881 


892321 


37 




23 


439 


892760 


893198 


893636 


894073 


894510 


894945 


36 




24 


435 


895380 


895815 


896249 


896682 


897114 


897546 


35 




25 


431 


897977 


898407 


898837 


899266 


899694 


900122 


34 




26 


427 


900549 


900976 


901402 


901827 


902251 


' 902675 


33 




27 


423 


903099 


903521 


903943 


904365 


904785 


905205 


32 




28 


420 


905625 


906044 


906462 


906379 


907296 


907712 


31 




29 


416 


908128 


908543 


908958 


909371 


909784 


910197 


30 




30 


412 


910609 


911020 


911431 


911841 


912250 


912659 


29 




31 


408 


913067 


913475 


913882 


914288 


914694 


915099 


28 




32 


405 


915504 


915908 


916311 


916714 


917116 


917517 


27 




33 


401 


917918 


918319 


918718 


919117 


919516 


919914 


26 




34 


397 


920311 


920708 


921104 


921500 


921895 


922289 


25 




35 


394 


922683 


923076 


923469 


923861 


924252 


924643 


24 




36 


390 


925033 


925423 


925812 


926201 


926589 


926976 


23 




37 


387 


927363 


927749 


928135 


928520 


928905 


929289 


22 




38 


383 


929672 


930055 


930437 


930819 


931200 


931581 


21 




39 


380 


931961 


932340 


932719 


933097 


933475 


933852 


20 




40 


377 


934229 


934605 


934981 


935356 


935730 


933104 


19 




41 


373 


936477 


936850 


937222 


937594 


937966 


938336 


18 




42 


370 


938706 


939076 


939445 


939813 


940181 


940548 


17 




43 


367 


940915 


941281 


941647 


942012 


942377 


942741 


16 




44 


364 


943105 


943468 


943830 


944192 


944554 


944915 


15 




45 


360 


945275 


945635 


945994 


946353 


946711 


947069 


14 




46 


357 


947426 


947783 


948139 


948495 


948850 


949205 


13 


! 


47 


354 


949559 


949912 


950265 


950618 


950970 


951322 


12 


t 


48 


351 


951673 


952023 


952373 


952723 


953072 


953420 


11 




49 


348 


953768 


954115 


954462 


954809 


955155 


955500 


10 




50 


345 


955845 


956189 


956533 


956877 


957220 


957562 


9 




51 


342 


957904 


958245 


958586 


958927 


959267 


959606 


8 




52 


339 


959945 


960283 


960621 


960959 


961296 


961632 


7 




53 


336 


961968 


962304 


962639 


982973 


963307 


963341 


6 




54 


333 


963974 


964307 


964639 


964970 


965301 


965632 


5 




55 


330 


965962 


966292 


966621 


966950 


967278 


967608 


4 


\ 


56 


327 


967933 


968260 


9(58586 


968912 


969237 


969562 


3 


1 


57 


325 


969887 


970211 


970534 


970857 


971180 


971502 


2 




58 


322 


971824 


972145 


972465 


972785 


973105 


973424 


1 


: 


59 


+319 


9.973743 


9.974062 


9.974380 


9.974697 


9.975014 


9.975331 





I 
■j 






60 8 


50 s 


40 s 


30 s 


20 s 


10 s 


9 l > + 
21 11 — 



Annual Precession, A a — 3.07177 + Ao a tan 6 + 0.00001,9 (t — 1850). 



GENERAL TABLES. 



59 







TABLE XX.— Annual Precessions in . 


Declination.— 1850.0 






A<? = 


= 20.'o564 cos 


i — o'.0000,86 cos a {t 


— 1850). Arg. == Star's Mean Right Ascension. 


Var. iu 


2 b + 


Diff. 


s 


10 s 


20 s 


30 8 


40 s 


50 a 




100 yrs. 


14b _ 


for 10 s 
















— o!b074 


m 


— 73 


17". 3693 


17. / 3620 


17*3547 


17.'3474 


37'!3403 


17.3328 


59 m 


74 


1 


74 


3254 


3181 


3107 


3033 


2960 


2886 


58 


74 


2 


74 


2812 


2738 


2664 


2589 


2515 


2440 


57 


74 


3 


75 


2366 


2291 


2217 


2142 


2067 


1992 


56 


74 


4 


75 


1917 


1842 


1766 


1691 


3636 


3540 


55 


74 


5 


76 


1465 


1389 


1313 


1237 


1361 


3085 


54 


73 


6 


76 


1009 


0933 


0856 


0780 


0703 


0627 


53 


73 


7 


77 


0550 


0473 


17.0396 


17.0319 


37.0242 


17.0165 


52 


73 


8 


77 


17.0088 


17.0011 


16.9933 


16.9856 


36.9778 


16.9700 


51 


73 


9 


78 


J 6. 9623 


16.9545 


9467 


9389 


9311 


9232 


50 


73 


10 


78 


9154 


9075 


8997 


8918 


8840 


8761 


49 


72 


11 


79 


8682 


8603 


8524 


8445 


8366 


8286 


48 


72 


12 * 


79 


8207 


8127 


8048 


7968 


7889 


7809 


47 


72 


13 


80 


7729 


7649 


7569 


7489 


7408 


7328 


46 


72 


14 


80 


7248 


7167 


7086 


7006 


6925 


6844 


45 


72 


15 


81 


6763 


6682 


6601 


6519 


6438 


6357 


44 


71 


16 


82 


6275 


6193 


6112 


6030 


5948 


5866 


43 


71 


17 


82 


5784 


5702 


5620 


5537 


5455 


5373 


42 


71 


18 


83 


5290 


5207 


5125 


5042 


4959 


4876 


41 


71 


19 


83 


4793 


4710 


4626 


4543 


4460 


4376 


40 


70 


20 


84 


4292 


4209 


4125 


4041 


3957 


3873 


39 


70 


21 


84 


3789 


3705 


3620 


3536 


3452 


3367 


33 


70 


22 


85 


3282 


3198 


3113 


3028 


2943 


2858 


37 


70 


23 


85 


2772 


2687 


2602 


2516 


2431 


2346 


36 


70 


24 


86 


2260 


2174 


2088 


2002 


1916 


1830 


35 


69 


25 


86 


1744 


1657 


1571 


3485 


1398 


3311 


34 


09 


26 


87 


1225 


1138 


1051 


0964 


0877 


0790 


33 


69 


27 


87 


0703 


0615 


0528 


16.0440 


16.0353 


16.0265 


32 


69 


28 


88 


16.0177 


16.0090 


16.0002 


15.9914 


15 9326 


15.9738 


31 


68 


29 


88 


15.9649 


15.9561 


15.9473 


9384 


9296 


9207 


30 


63 


30 


89 


9118 


9029 


8940 


8851 


8762 


8673 


29 


68 


31 


89 


8584 


8495 


8405 


8316 


8226 


8136 


28 


68 


32 


90 


8047 


7957 


7867 


7777 


7687 


7597 


27 


68 


33 


90 


7506 


7416 


7325 


7235 


7144 


7054 


26 


67 


34 


91 


6963 


6872 


6781 


6690 


6599 


6508 


25 


67 


35 


91 


6417 


6325 


6234 


6142 


6051 


5959 


24 


67 


36 


92 


5868 


5776 


5684 


5592 


5500 


5408 


23 


67 


37 


92 


5315 


5223 


5.131 


5038 


4946 


4853 


22 


66 


38 


93 


4760 


4667 


4574 


4481 


4383 


4295 


21 


66 


39 


93 


4202 


4109 


4015 


3922 


3828 


3735 


20 


66 


40 


94 


3641 


3547 


3453 


3359 


3265 


3171 


19 


66 


41 


94 


3077 


2983 


2888 


2794 


2699 


2605 


13 


65 


42 


95 


2510 


24J5 


2320 


2226 


2131 


2035 


17 


65 


43 


95 


1940 


3845 


1750 


1654 


3559 


1463 


16 


65 


44 


96 


1368 


1272 


1176 


3080 


0984 


0888 


15 


65 


45 


96 


0792 


0696 


0599 


15.0503 


35.0407 


15.0310 


14 


64 


46 


97 


35.0214 


15.0117 


15.0020 


14 9923 


14.9826 


14.9729 


13 


64 


47 


97 


14.9632 


14.9535 


14.9438 


9341 


9243 


9146 


12 


64 


48 


98 


9048 


8951 


8853 


8755 


8657 


8559 


11 


64 


49 


98 


8461 


8363 


8265 


8167 


8068 


7970 


10 


63 


50 


98 


7871 


7773 


7674 


7575 


7477 


7378 


9 


63 


51 


99 


7279 


7179 


7080 


6981 


6832 


6783 


8 


63 


52 


99 


6683 


6584 


6434 


6384 


62-^5 


6185 


7 


63 


53 


100 


6085 


5985 


5885 


5785 


5684 


5584 


6 


62 


54 


100 


5484 


5384 


5283 


5182 


5082 


4931 


5 


62 


55 


101 


4880 


4779 


4678 


4577 


4476 


4375 


4 


62 


56 


101 


4274 


4172 


4071 


3969 


3868 


3766 


3 


62 


57 


102 


.3664 


3563 


3461 


3359 


3257 


3155 


2 


61 


58 


102 


3052 


2950 


2843 


2745 


2643 


2540 


1 


—.0061 


59 


—103 


14.2438 


34.2335 


14.2232 


34.2329 


14.2026 


14 1923 











60 s 


50 s 


40 s 


30 s 


20 s 


10 s 


21M- 



60 



GENERAL TABLES. 





TABLE XX.— For Annual Precessions in PJgkt Ascension.— 


1850.0. 




log. Ao 


2 = 0.12616,2+ log. 


sin a— .0.00000,187(7 — 


1850). Arg. 


= Star's Mean Eight Ascension. 


3* + 

tr>fc — 


Diff. 
for 10 s 


s 


10 s 


20 s 


30 s 


40 s 


50 s 




m 


+315 


9.975647 


9.975962 


9.976277 


9.976592 


9.976906 


9.977220 


59 m 


1 


313 


977533 


977846 


978159 


978471 


978782 


979093 


58 


2 


311 


979404 


979714 


980023 


980333 


980642 


980950 


57 


3 


308 


981258 


9815ti5 


981872 


982179 


982485 


982791 


56 


4 


305 


9S3096 


983401 


983705 


984009 


984312 


984615 


55 


5 


302 


984918 


985220 


985522 


985823 


986124 


986424 


54 


6 


300 


986724 


987023 


987322 


987621 


987919 


988217 


53 


7 


297 


988514 


988811 


989108 


989404 


989699 


989994 


52 


8 


295 


990289 


990583 


990877 


991171 


991464 


991756 


51 


9 


292 


992048 


992340 


992632 


992923 


993213 


993503 


50 


10 


290 


993793 


994082 


994371 


994659 


994947 


995234 


49 


11 


287 


995521 


995808 


996094 


996380 


996666 


996951 


48 


12 


284 


997235 


997519 


997803 


998086 


9.998369 


9.998652 


47 


13 


282 


9.998934 


9.999216 


9.999497 


9.999778 


0.000058 


0.000338 


46 


14 


280 


0.000618 


0.000897 


0.001176 


0.001454 


001732 


002010 


45 


15 


277 


002287 


002564 


002840 


003116 


003392 


003667 


44 


16 


275 


003942 


004216 


004490 


004763 


005036 


005309 


43 


17 


273 


005582 


005854 


006125 


006396 


006667 


006937 


42 


18 


270 


007207 


007477 


007746 


008015 


008283 


008551 


41 


19 


268 


008819 


009086 


009353 


009619 


009885 


010151 


40 


20 


265 


010416 


010681 


010945 


011209 


011473 


011736 


39 


21 


263 


011999 


012261 


012523 


012785 


013046 


013307 


38 


22 


261 


013568 


013S28 


014088 


014347 


014606 


014865 


37 


23 


238 


015123 


015381 


015638 


015895 


016152 


016408 


36 


24 


256 


016664 


016920 


017175 


017430 


017684 


017938 


35 


25 


254 


018192 


018445 


018698 


018951 


019203 


019455 


34 


26 


251 


019706 


019957 


020208 


020458 


020708 


020958 


33 


27 


249 


021207 


021456 


021704 


021952 


022200 


022447 


32 


28 


247 


022694 


022940 


023186 


023432 


023678 


023923 


31 


29 


245 


024168 


024412 


024656 


024900 


025143 


025386 


30 


30 


242 


025628 


025870 


026112 


026354 


026595 


026836 


29 


31 


240 


027076 


027316 


027556 


027795 


028034 


028272 


28 


32 


238 


028510 


028748 


028986 


029223 


029459 


029696 


27 


33 


236 


029932 


030168 


030403 


030638 


030872 


031106 


26 


34 


234 


031340 


031574 


031807 


032040 


032272 


032504 


25 


35 


232 


032736 


€32968 


033199 


033429 


033660 


033890 


24 


36 


230 


034119 


034349 


034578 


034806 


035034 


035262 


23 


37 


228 


035490 


035717 


035944 


036170 


036396 


036622 


22 


38 


226 


036848 


037073 


037298 


037522 


037746 


037970 


21 


39 


223 


038193 


038416 


038639 


038861 


039083 


039305 


20 


40 


221 


039526 


039747 


. 039968 


040188 


040408 


040628 


19 


41 


219 


040847 


041066 


041285 


041503 


041721 


041938 


IS 


42 


217 


042155 


042372 


042589 


042805 


043021 


043237 


17 


43 


215 


043452 


043667 


043881 


044095 


044309 


044523 


16 


44 


213 


044736 


044949 


045161 


045373 


045585 


045797 


15 


45 


211 


046008 


046219 


046430 


046640 


046850 


047059 


14 


46 


209 


047268 


047477 


047686 


047894 


048102 


048309 


13 


47 


207 


048517 


048724 


048930 


049136 


049342 


049548 


12 


48 


205 


049753 


049958 


050163 


050367 


050571 


050775 


11 


49 


203 


050978 


051181 


051384 


051586 


051788 


051990 


10 


50 


201 


052191 


052392 


052593 


052793 


052993 


053193 


9 


51 


199 


053392 


053591 


053790 


053989 


054187 


054385 


8 


52 


197 


054582 


054779 


054976 


055173 


055369 


055565 


7 


53 


196 


055761 


055956 


056151 


056345 


056540 


056734 


6 


54 


194 


056928 


057121 


057314 


057507 


057699 


057891 


5 


55 


192 


058083 


058275 


058466 


058657 


058847 


059037 


4 


56 


190 


059227 


059417 


059606 


059795 


059984 


C60172 


3 


57 


188 


060360 


060548 


060736 


060923 


061109 


061296 


2 


58 


186 


061482 


061668 


06 J 854 


062039 


062224 


062408 


1 


59 


+184 


0.062593 


0.062777 


0.062961 


0.063144 


0.063327 


0.063510 









60 3 


50 s 


40 s 


30 s 


20 s 


10 s 


8* + 
20& _ 



Annual Precession, A a = 3.07177 + Ao a tan d + 0.00001,9 (t — 1850). 



GENERAL TABLES. 



61 







TABLE XX.— Annual Precessions in Declination.— 1850.0, 






Atf = 


= 20.0564 cos a — o'.'oOOO,86 cos a (t ■ 


- 1850). Arg. — Star 


's Mean Right Ascension. 


Var. in 


3 h -f- 


Dlff. 


s 


10 s 


20 s 


30 s 


40 8 


50 8 




100 yrs. 


15 h — 


forlO 3 
















—0"0061 


m 


—103 


14". 1820 


14.'l717 


141614 


14.' 1510 


14.' 1407 


14.' 1304 


59 m 


61 


1 


104 


1200 


1096 


0993 


0889 


0785 


0681 


58 


60 


2 


104 


14.0577 


14.0473 


14.0369 


14.0265 


14.0160 


14.0056 


57 


60 


3 


104 


13.9952 


13.9847 


13.9743 


13.9638 


13.9533 


13.9428 


56 


60 


4 


105 


9323 


9218 


9113 


9008 


8903 


8798 


55 


59 


5 


108 


8693 


8587 


8482 


8376 


8271 


8165 


54 


59 


6 


106 


8059 


7953 


7847 


7741 


7635 


7529 


53 


59 


7 


106 


7423 


7317 


7210 


7104 


6998 


6891 


52 


59 


8 


107 


6784 


6678 


6571 


6464 


6357 


6250 


51 


58 


9 


107 


6143 


6036 


5929 


5821 


5714 


5607 


50 


58 


10 


108 


5499 


5392 


5284 


5176 


5068 


4961 


49 


58 


11 


108 


4853 


4745 


4636 


4528 


4420 


4312 


48 


58 


]2 


108 


4204 


4095 


3987 


3878 


3769 


3661 


47 


57 


13 


109 


3552 


3443 


3334 


3225 


3116 


3007 


46 


57 


14 


109 


2898 


2788 


2679 


2570 


2460 


2351 


45 


57 


15 


110 


2241 


2131 


2021 


1912 


1802 


1692 


44 


56 


16 


110 


1582 


1472 


1361 


1251 


1141 


1031 


43 


56 


17 


111 


0920 


0810 


0699 


13.0588 


13.0478 


13.0367 


42 


56 


18 


111 


13.0256 


13.0145 


13.0034 


12.9923 


12.9812 


12.9700 


41 


56 


19 


111 


12.9589 


12.9478 


12.9366 


9255 


9143 


9032 


40 


55 


20 


112 


8920 


8808 


8696 


8585 


8473 


8360 


39 


55 


21 


112 


8248 


8136 


8024 


7912 


7799 


7687 


38 


55 


22 


113 


7574 


7462 


7349 


7236 


7124 


7011 


37 


54 


23 


113 


6898 


6785 


6672 


6559 


6446 


6332 


36 


54 


24 


113 


6219 


6106 


5992 


5879 


5765 


5651 


35 


54 


25 


114 


5538 


5424 


5310 


5196 


5082 


4968 


34 


54 


26 


114 


4854 


4740 


4626 


4511 


4397 


4282 


33 


53 


27 


115 


4168 


4053 


3939 


3824 


3709 


3594 


32 


53 


28 


115 


3480 


3365 


3250 


3134 


3019 


2904 


31 


53 


29 


116 


2789 


2673 


2558 


2442 


2327 


2211 


30 


52 


30 


116 


2096 


1980 


1864 


1748 


1632 


1516 


29 


52 


31 


116 


1400 


1284 


1168 


1052 


0935 


0819 


28 


52 


32 


117 


0702 


12.0586 


12.0469 


12.0353 


12.0236 


12.0119 


27 


51 


33 


117 


12.0002 


11.9886 


U.9769 


11.9652 


11.9534 


11.9417 


26 


51 


34 


117 


11.9300 


9183 


9065 


8948 


8331 


8713 


25 


51 


35 


118 


8595 


8478 


8360 


8242 


8124 


8006 


24 


51 


36 


118 


7888 


7770 


7652 


7534 


7416 


7298 


23 


50 


37 


119 


7179 


706 L 


6942 


6824 


6705 


6587 


22 . 


50 


38 


119 


6468 


6349 


6230 


6112 


5993 


5874 


21 


50 


39 


119 


5755 


5635 


5516 


5397 


" 5278 


5158 


20 


49 


40 


120 


5039 


4919 


4799 


4680 


4560 


4441 


19 


49 


41 


120 


4321 


4201 


4081 


3961 


3341 


3721 


18 


49 


42 


120 


3601 


3480 


3360 


3240 


3119 


2999 


17 


48 


43 


120 


2878 


2758 


2537 


2517 


2396 


2275 


16 


48 


44 


121 


2154 


2033 


1912 


1791 


1670 


1549 


15 


48 


45 


121 


1427 


1306 


1185 


1063 


0942 


0820 


14 


47 


46 


122 


11.0699 


11.0577 


11.0455 


11.0334 


11.0212 


11.0090 


13 


47 


47 


122 


10.9903 


10.9846 


10.9724 


10.9502 


10.9480 


10.9357 


12 


47 


48 


122 


9235 


9113 


8990 


8868 


8745 


8623 


11 


47 


49 


123 


8500 


8377 


8254 


8132 


8009 


7886 


10 


46 


50 


123 


7763 


7640 


7517 


7394 


7270 


7147 


9 


46 


51 


124 


7024 


6900 


6777 


6653 


6530 


6406 


8 


46 


52 


124 


6283 


6159 


6035 


5911 


5788 


55o4 


7 


45 


53 


124 


5540 


5415 


5291 


5167 


5043 


4919 


6 


45 


54 


125 


4794 


4670 


4545 


4421 


4296 


4172 


5 


45 


55 


125 


• 4047 


3922 


3798 


3673 


3548 


3423 


' 4 


44 


56 


125 


3298 


3173 


3048 


2923 


2797 


2672 


3 


44 


57 


125 


2547 


2422 


2296 


2171 


2045 


1919 


2 


44 


58 


126 


1794 


1668 


1542 


1417 


1291 


11 85 


1 


—.0043 


59 


—126 


10.1039 


10.0913 


10.0787 


10.0661 


10.0534 


10.0408 











60 s 


50 s 


40 s 


30 s 


20 s 


10 s 


20 h -f- 



62 



GENERAL TABLES. 





TABLE XX.— For Annual Precessions in Right Ascension.— 


1850.0. 




log. Ao o 


= 0.12616,2+ log. 


sin a — 0.00000,187 (t — 1850). Arg. 


= Star's Mean Right Ascension. 


4*4- 

16H — 


Diff. I 

for 10 s 


s 


10 s 


20 s 


*30 3 


40 s 


50 s 




c m 


-j-182 


0.063692 


0.063874 


0.064056 


0.064238 


0.064419 


0.064600 


59«» 


1 


181 


06478 1 


064961 


065141 


065321 


065500 


065679 


58 


2 


179 


065858 


066037 


066215 


066393 


066571 


066748 


57 


3 


177 


066925 


067102 


067278 


067454 


067630 


067806 


56 


4 


175 


087981 


068156 


068331 


068505 


068679 


068853 


55 


5 


173 


069026 


069199 


069372 


069545 


069717 


069889 


54 


6 


171 


070060 


070232 


070403 


070573 


070744 


070914 


53 


7 


170 


071084 


071254 


071423 


071591 


071760 


071929 


52 


8 


168 


072097 


072264 


072432 


072599 


072766 


072933 


51 


9 


166 


073099 


073265 


073431 


073596 


073761 


073926 


50 


10 


165 


074091 


074255 


074419 


074583 


074746 


074909 


49 


]1 


163 


075072 


075234 


075397 


075559 


075720 


075882 


48 


12 


161 


076043 


076204 


076364 


076524 


076684 


076844 


47 


13 


159 


077003 


077162 


077321 


077479 


077637 


077795 


46 


14 


158 


077953 


078110 


078267 


078424 


078581 


078737 


45 


15 


156 


078393 


079048 


079204 


079359 


079513 


079668 


44 


16 


154 


079822 


079976 


080129 


080283 


080436 


080589 


43 


17 


152 


080741 


080893 


081045 


081197 


081348 


081499 


42 


18 


151 


081650 


081800 


081950 


082100 


082250 


082400 


41 


19 


149 


082549 


082698 


082846 


082994 


083142 


083290 


40 


20 


147 
146 


083437 


083584 


083731 


083878 


084024 


084170 


39 


21 


084316 


084462 


084607 


084752 


084896 


085041 


38 


22 


144 


085185 


085328 


085472 


085615 


085758 


085901 


37 


23 


142 
141 


086043 


086185 


086327 


086469 


086610 


083751 


36 


24 


086892 


087032 


087173 


087313 


087453 


087592 


35 


25 


139 


087731 


087869 


088008 


088146 


088284 


088422 


34 


26 


138 


088560 


088697 


088834 


088970 


089107 


089243 


33 


27 


136 


089379 


089514 


089649 


089784 


089919 


090054 


32 


28 


134 


090188 


090322 


090455 


090589 


090722 


090855 


31 


29 . 


133 


090987 


091120 


091252 


091383 


091515 


091646 


30 


30 


131 


091777 


091908 


092038 


092168 


092298 


092428 


29 


31 


129 


092557 


092686 


092815 


092944 


093072 


093200 


28 


32 


128 


093328 


093455 


093582 


093709 


093836 


093962 


27 


33 


126 


094088 


094214 


094340 


094465 


094590 


094715 


26 


34 


125 


094840 


094964 


095088 


095212 


095335 


095458 


25 


35 


123 


095581 


095704 


095826 


095948 


096070 


096192 


24 


36 


121 


0963.13 


096434 


096555 


096676 


096796 


096916 


23 


37 


120 


097036 


097156 


097275 


097394 


097513 


097631 


22 


38 


118 


097749 


097867 


097985 


098102 


098220 


098337 


21 


39 


117 


098453 


098570 


098686 


098802 


098917 


099032 


20 


40 


115 


099147 


099262 


099377 


099491 


099605 • 


099719 


19 


41 


114 


099833 


099946 


100059 


100172 


100284 


100396 


18 


42 


112 


100508 


100620 


100731 


100843 


100954 


101064 


17 


43 


I'll 


101175 


101285 


101395 


101504 


101614 


101723 


16 


44 


109 


101832 


101940 


102049 


102157 


102265 


102372 


15 


45 


107 


102480 


102587 


102694 


102800 


102906 


103012 


14 


46 


106 


103118 


103224 


103329 


103434 


103539 


103644 


13 


47 


104 


103748 


103852 


103956 


104059 


104162 


104265 


12 


48 


103 


104368 
104979 


104471 


104573 


104675 


104777 


104878 


11 


49 


101 


105080 


105181 


105281 


105381 


105481 


10 


50 


100 


105581 


105681 


105780 


105879 


105978 


106076 


9 


51 


98 


106174 


100272 


106370 


106467 


106564 


106661 


8 


52 


97 


106758 


106854 


106951 


107047 


107142 


107238 


7 


53 


95 


107333 


107428 


107523 


107617 


107711 


107805 


6 


54 


93 


107899 


107992 


108085 


108178 


108271 


108363 


5 


55 


92 


108455 


108547 


108639 


108731 


108822 


108913 


4 


56 


91 


109003 


109094 


109184 


109274 


109364 


109453 


3 


57 


89 


109542 


109631 


109720 


109808 


109897 


109985 


2 


58' 


87 


110072 
0.110593 


110160 


110247 


110334 


110421 


110507 


I 


59 


+ 86 


0.110679 


0.110765 


0.110851 


0.110936 


0.111021 





l 


1 60 " 


50 s 


40 s 


30" 


20 s 


10 s 

! 


711 + 
19 h — 



Annual Precession, A a = 3.07177 -f Ao a tan 6 -f 0.00001,9 (t — 1850). 



GENERAL TABLES. 



63 







TABLE XX.— AnnualPrecessions in Decli nation.— 1850.0, 






A<! = 


= 20.0564. cos 


a — 0'.'0000,86 cos a (t 


— 1850). Arg. = Star 


's Mean Eight Ascension. 


Var. in 


4" + 


Di ?A 


s 


10 s 


20 s 


30 s 


40 s 


50 s 




100 yrs. 


16 h — 


for 10 s 
















— 0"0043 


Qm 


—123 


id! 0282 


lo"oi56 


10*0029 


9.9903 


9.9776 


9.9650 


59 ra 


43 


1 


127 


9.9523 


9.9396 


9 9270 


9143 


9016 


8889 


58 


42 


2 


127 


8762 


8635 


8508 


8331 


8254 


8127 


57 


42 


3 


127 


8000 


7872 


7745 


7618 


7490 


7363 


56 


42 


4 


128 


7235 


7103 


6980 


6852 


6725 


6597 


55 


41 


5 


128 


6469 


6341 


6213 


6085 


5957 


5829 


54 


41 


6 


128 


5701 


5573 


5444 


5316 


5188 


5059 


53 


41 


7 


129 


4931 


4802 


4674 


4545 


4417 


4288 


52 


40 


8 


J 29 


4159 


4030 


3901 


3772 


3643 


3514 


51 


40 


9 


129 


. 3385 


3256 


3127 


2993 


2869 


2739 


50 


40 


10 


129 


2610 


2481 


2351 


2222 


2092 


1963 


49 


39 


11 


130 


1833 


1703 


1574 


1444 


1314 


1184 


48 


39 


12 


130 


1054 


0924 


0794 


9.0664 


9.0534 


9.0404 


47 


39 


13 


130 


9.0273 


9.0143 


9.0013 


8.9382 


8.9752 


8.9622 


46 


38 


14 


131 


8.9491 


8.9361 


8.9230 


9099 


8969 


8838 


45 


38 


15 


131 


8707 


8576 


8445 


8315 


8184 


8053 


44 


38 


16 


131 


7921 


7790 


7659 


7528 


7397 


7265 


43 


37 


17 


131 


7134 


7003 


6871 


6740 


6608 


6476 


42 


37 


18 


132 


6345 


6213 


6081 


5950 


5618 


5486 


41 


37 


19 


132 


5554 


5422 


5290 


5158 


5026 


4894 


40 


36 


20 


132 


4762 


4630 


4497 


4365 


4233 


4100 


39 


36 


21 


132 


3968 


3836 


3703 


3570 


3438 


3305 


38 


36 


22 


133 


3173 


3040 


2907 


2774 


2841 


2508 


37 


35 


23 


133 


2375 


2242 


2109 


1976 


1843 


1710 


38 


35 


24 


133 


1577 


1444 


1310 


1177 


1043 


0910 


35 


35 


25 


133 


8.0776 


8.0643 


8.0509 


8.0376 


8.0242 


8.0108 


34 


34 


26 


134 


7.9975 


7.9841 


7.9707 


7.9573 


7.9439 


7.9305 


33 


34 


27 


134 


9171 


9037 


8903 


8769 


8635 


8501 


32 


34 


28 


134 


8367 


8232 


8098 


7954 


7829 


7695 


31 


33 


29 


134 


7560 


7426 


7291 


7157 


7022 


6887 


30 


33 


30 


135 


6753 


6618 


6483 


6348 


6213 


6078 


29 


33 


31 


135 


5943 


5808 


5673 


5538 


5403 


5268 


23 


32 


32 


135 


5133 


4997 


4862 


4727 


4591 


4456 


27 


32 


33 


136 


4321 


4185 


4050 


3914 


3778 


3643 


26 


32 


34- 


136 


3507 


3371 


3236 


3100 


2984 


2823 


25 


31 


35 


136 


2692 


2556 


2420 


2284 


2148 


2012 


24 


31 


36 


136 


1876 


1739 


1603 


1467 


1331 


1194 


23 


30 


37 


137 


1058 


0922 


7.0785 


7.0649 


7.0512 


7.0376 


22 


30 


38 


137 


7.0239 


7.0102 


6.9965 


6.9829 


6.9692 


6.9555 


21 


30 


39 


137 


6.9419 


6.9282 


9145 


9008 


8871 


8734 


20 


29 


40 


137 


859? 


8460 


8323 


8186 


8048 


7911 


19 


29 


41 


137 


7774 


7637 


7499 


7362 


7224 


7087 


18 


29 


42 


138 


6950 


6812 


6675 


6537 


6399 


6262 


17 


28 


43 


138 


6124 


5986 


5849 


5711 


5573 


5435 


]6 


28 


44 


138 


5297 


5159 


5021 


4883 


4745 


4607 


15 


28 


45 


138 


4469 


4331 


4193 


4055 


3916 


3778 


14 


27 


46 


138 


3640 


3502 


3363 


3225 


3086 


2948 • 


13 


27 


47 


139 


2809 


2671 


2532 


2394 


2255 


2116 


12 


27 


48 


139 


1978 


1839 


1700 


1561 


1423 


1284 


11 


26 


49 


139 


1145 


1006 


0867 


6.0728 


6.0589 


6.0450 


10 


26 


50 


139 


6.0311 


6.0172 


6.0032 


5.9893 


5.9754 


5.9615 


9 


25 


51 


139 


5.9476 


5.9336 


5.9197 


9058 


89i 8 


8779 


8 


25 


52 


140 


8639 


8500 


8360 


8221 


8081 


7941 


7 


25 


53 


140 


7802 


7682 


7522 


7383 


7243 


7103 


6 


24 


54 


140 


6963 


6323 


6634 


6544 


6404 


6264 


5 


24 


55 


140 


6124 


5984 


5844 


5703 


5563 


5423 


4 


24 


56 


140 


5283 


5143 


5002 


4862 


4722 


4582 


3 


23 


57 


141 


4441 


4301 


4160 


4020 


3880 


3739 


2 


23 


58 


141 


3598 


3458 


3317 


3177 


3036 


2895 


I 


—0.0023 


•59 


—141 


5.2755 


5.2614 


5.2473 


5.2332 


5.2191 


5.2051 











60 s 


50 s 


40 s 


30 s 


20 s 


10 s 


19M- 



64 



GENERAL TABLES. 





TABLE XX.— For Annual Precessions in Right Ascension.— 


1850.0. 




log. Ao a 


= 0.12616,2 + log. 


sin a — 0.00000, 187 (t — 1 


1850). Arg. 


= Star's Mean Right Ascension. 


5 h + 


Diff. 1 


9 


10 8 


20 s 


'30 s 


40 s 


50 a 




l 7 h_ 


for 10 s 
















m 


+84 


0.111106 


0.111190 


0.111274 


0.111358 


0.111442 


0.111526 


59^ 


1 


83 


111609 


111692 


111775 


111857 


111939 


112021 


58 


2 


82 


112103 


112185 


112266 


112347 


112428 


112509 


57 


3 


80 


112539 


112669 


112749 


112829 


112908 


112987 


56 


4 


79 


113066 


113144 


113223 


113301 


113379 


113457 


55 


5 


77 


113534 


113611 


113638 


113765 


113841 


113917 


54 


G 


76 


113993 


114069 


114144 


114220 


114295 


114369 


53 


7 


74 


114444 


114518 


114592 


114666 


114739 


114813 


52 


8 


72 


114886 


114958 


115031 


115103 


115175 


115247 


51 


9 


71 


115319 


115390 


115461 


115532 


115603 


115673 


50 


10 


70 


1 15743 


115813 


115883 


115952 


116021 


116090 


49 


11 


63 


116159 


116227 


116296 


116364 


116431 


116499 


48 


12 


67 


116566 


116633 


116700 


116766 


1 16833 


116899 


47 


13 


66 


116965 


117030 


117096 


117161 


117225 


1 17290 


46 


14 


64 


117354 


117418 


117482 


117546 


117610 


1 17673 


45 


15 


62 


117736 


117798 


117861 


117923 


117985 


118047 


44 


16 


61 


118108 


118170 


118231 


118291 


118352 


118412 


43 


17 


60 


118472 


118532 


118592 


118651 


118710 


1 18769 


42 


18 


59 


118828 


118886 


118944 


119002 


119060 


119118 


41 


19 


57 


119175 


119232 


119289 


119345 


119401 


119457 


40 


20 


56 


119513 


119569 


119624 


119679 


119734 


119789 


39 


21 


54 


119843 


119897 


119951 


120005 


120058 


120111 


33 


22 


53 


120164 


120217 


120270 


120322 


120374 


120426 


37 


23 


52 


120477 


120529 


120580 


120631 


120681 


120732 


36 


24 


50 


120782 


120832 


120881 


120931 


120980 


121029 


35 


25 


48 


121078 


121126 


121174 


121222 


121270 


121318 


34 


26 


47 


121365 


121412 


121459 


121506 


121552 


121593 


33 


27 


46 


121644 


121690 


121735 


121780 


121825 


121870 


32 


23 


44 


121915 


121959 


122003 


122047 


122090 


122134 


31 


29 


43 


122177 


122219 


122262 


122305 


122347 


122389 


30 


30 


42 


122430 


122472 


122513 


122554 


122595 


122635 


29 


31 


40 


122676 


122716 


122755 


122795 


122834 


122873 


28 


32 


39 


122912 


122951 


122990 


123028 


123066 


123103 


27 


33 


33 


123141 


123178 


123215 


123252 


12328i> 


123325 


26 


34 


36 


123361 


123397 


123433 


123468 


123503 


123538 


25 


35 


35 


123573 


123607 


123641 


123675 


123709 


123743 


24 


3(3 


33 


123776 


123809 


123842 


123875 


123907 


123939 


23 


37 


32 


123971 


124003 


124034 


124065 


124096 


124127 


22 


33 


30 


124158 


124183 


124218 


124248 


124278 


124307 


21 


39 


29 


124336 


124365 


124394 


124422 


124450 


124478 


20 


40 


28 


124506 


124533 


124561 


124588 


124615 


124641 


19 


41 


27 


1*24668 


124694 


124720 


124745 


124771 


121796 


18 


42 


25 


124821 


124846 


124870 


124894 


124918 


124942 


17 


43 


24 


124966 


124989 


125012 


125035 


125058 


125080 


16 


44 


22 


125103 


125125 


125146 


125168 


125189 


125210 


15 


45 


21 


125231 


125251 


125272 


125292 


125312 


125332 


14 


46 


19 


125351 


125370 


125389 


125408 


125426 


125445 


13 


47- 


18 


125463 


125481 


125498 


125515 


125532 


125549 


12 


48 


17 


125566 


125583 


125599 


125615 


125631 


125646 


11 


49 


15 


125661 


125676 


125691 


125706 


125720 


125734 


10 


50 


14 


125743 


125762 


125775 


125789 


125802 


125814 


9 


51 


13 


125827 


125839 


125851 


125863 


125875 


125886 


8 


52 


11 


125897 


125908 


125919 


125929 


125939 


125949 


7 


53 


10 


125959 


125969 


125978 


125937 


125996 


126005 


6 


54 


8 


126013 


126021 


126029 


126037 


126044 


126051 


5 


55 


7 


126058 


126065 


126072 


126078 


126084 


126090 


4 


56 


6 


126096 


126101 


126106 


126111 


126116 


126120 


3 


57 


4 


126125 


126129 


126132 


126136 


126139 


126142 


2 


58 


3 


126145 


126148 


126150 


126152 


126154 


126156 


1 


59 


+ 1 


126158 


126159 


0.126100 


0.126161 


0.126161 


0.126162 





60 





0.126162 












— 1 




1 6y 


50 8 


40 s 


30 s 


20 s 


10 s 


6* + 

18 h — 



Annual Precession, A a = 3.07177 + Ao « tan 6 + 0.00001,9 (t — 1350). 



GENERAL TABLES. 



G5 







TAB! 


E XX.— Annual Precessions in 


Declination.— 1850.0 






A(5 = 


= 2o"o564 cos 


a — 0'.'0000,8G cos a (t. 


— 1850). 


Arg. = Star's Mean Eight Ascension. 


Var. in 
10 J yrs. 


17* — 


Diff. 

for 10 s 


1 

3 


10 s 


20 9 


30 s 


40 s 


50 s 




n 






a 


„ 


// 


// 


/< 


a 




—OA02 2 


0m 


—141 


5.1910 


5.1769 


5.1628 


5.1487 


5.1346 


5.1205 


59 m 


22 


1 


141 


1061 


0923 


5.0782 


5.0641 


5.0500 


5.0358 


58 


22 


2 


141 


5.0217 


5.0076 


4.9935 


4.9793 


4.9652 


4.9511 


57 


21 


3 


141 


4.9370 


4.9228 


90c7 


8945 


8804 


8662 


56 


21 


4 


142 


8521 


8379 


8238 


8096 


7955 


7813 


55 


20 


5 


142 


7571 


7530 


7388 


7246 


7104 


6963 


54 


20 


6 


142 


6821 


6679 


6537 


6395 


6253 


6111 


53 


20 


7 


142 


5969 


5827 


5685 


5543 


5401 


5259 


52 


19 


8 


142 


5117 


4975 


4833 


4691 


4548 


4406 


51 


19 


9 


142 


4264 


4122 


3979 


3837 


3695 


3552 


50 


19 


10 


142 


3410 


3268 


3125 


2983 


2840 


2698 


49 


Id 


11 


143 


2555 


2413 


2270 


2128 


1985 


1842 


48 


18 


12 


143 


1700 


1557 


1414 


1272 


1129 


0986 


47 


18 


13 


143 


4.0843 


4.0700 


4.0558 


4.0415 


4.0272 


4.0129 


46 


17 


14 


143 


3.9986 


3.9843 


3.9700 


3.9557 


3.9414 


3.9271 


45 


17 


15 


143 


9128 


8985 


8842 


8699 


8556 


8413 


44 


1G 


16 


143 


8269 


8126 


7983 


7840 


7697 


7553 


43 


16 


17 


143 


7410 


" 7267 


7123 


6980 


6837 


6693 


42 


16 


18 


144 


6550 


6406 


6263 


6119 


5976 


5833 


41 


15 


19 


144 


5689 


5546 


5402 


5258 


5115 


4971 


40 


15 


20 


144 


4828 


4684 


4540 


4397 


4253 


4109 


39 


15 


21 


144 


3965 


3822 


3678 


3534 


3390 


3246 


38 


14 


22 


144 


3103 


2959 


2815 


2671 


2527 


2383 


37 


14 


23 


144 


2239 


2095 


1951 


1807 


1663 


1519 


36 


13 


24 


144 


1375 


1231 


1087 


0943 


3.0799 


3.0655 


35 


13 


25 


144 


3.0510 


3.0366 


3.0222 


3.0073 


2.9934 


2.9789 


34 


13 


26 


144 


2.9645 


2.9501 . 


2.9357 


2.9212 


9068 


8924 


33 


12 


27 


144 


8779 


8635 


8491 


8346 


8202 


8058 


32 


12 


28 


144 


7913 


7769 


7624 


7480 


7335 


7191 


31 


12 


29 


144 


7046 


69 J2 


6757 


6613 


6468 


6323 


30 


11 


30 


144 


6179 


6034 


5890 


5745 


5600 


5456 


29 


11 


31 


145 


5311 


5166 


5022 


4877 


4732 


4587 


28 


10 


32 


145 


4443 


4298 


4153 


4008 


3863 


3719 


27 


10 


33 


145 


3574 


3429 


3284 


3139 


2994 


2849 


26 


10 


34 


145 


2705 


2560 


2415 


2270 


2125 


1980 


25 


9 


35 


145 


1835 


1690 


1545 


1400 


1255 


1110 


24 


9 


36 


145 


0965 


2.0820 


2.0675 


2.0529 


2.0384 


2.0239 


23 


9 


37 


145 


2.0094 


1.9949 


1.9804 


1.9659 


1.9514 


1.9368 


22 


8 


33 


145 


1.9223 


9078 


8933 


8788 


8642 


8497 


21 


8 


39 


145 


8352 


8207 


8061 


7916 


7771 


7626 


20 


7 


40 


145 


7480 


7335 


7190 


7044 


6899 


6754 


19 


7 


41 


145 


6608 


6463 


6318 


6172 


6027 


5831 


18 


7 


42 


145 


5736 


5591 


5445 


5300 


5154 


5009 


17 


6 


43 


145 


4863 


4718 


4573 


4427 


4282 


4136 


16 


6 


44 


145 


3991 


3845 


3700 


3554 


3409 


3263 


15 


6 


45 


146 


3118 


2972 


2826 


2681 


2535 


2390 


14 


5 


46 


146 


2244 


2099 


1953 


1807 


1662 


1516 


13 


5 


47 


146 


1371 


1225 


1079 


0934 


1.0788 


1.0642 


12 


5 


48 


146 


1.0497 


.1.0351 


1.0205 


1.0060 


0.9914 


0.9768 


11 


4 


49 


146 


0.9623 


0.9477 


0.9331 


0.9186 


9040 


8894 


10 


4 


50 


146 


8748 


8603 


8457 


8311 


8166 


8020 


9 


3 


51 


146 


7874 


7728 


7583 


7437 


7291 


7145 


8 


3 


52 


146 


7000 


6854 


6708 


6562 


6416 


6271 


7 


3 


53 


146 


6125 


5979 


5833 


5688 


5542 


5396 


6 


2 


54 


146 


5250 


5104 


4959 


4813 


4667 


4521 


5 


2 


55 * 


146 


4375 


4229 


4084 


3938 


3792 


3646 


4 


2 


56 


146 


3500 


3354 


3209 


3063 


2917 


2771 


3 


1 


57 


146 


2625 


2479 


2334 


2188 


2042 


1896 


2 


1 


58 


146 


1750 


1604 


1459 


1313 


1167 


1021 


1 





59 


146 


0875 


0.0729 


0.0583 


0.0433 


0.0292 


0.0146 





—0.0000 


60 


—146 


0.0000 












— 1 








60 s 


50 s 


40 s 


30 s 


20s 


10 s 


6 h — 
18 h -f 









SPECIAL TABLES 

FOR THE STANDARD STARS OF THE AMERICAN EPHEMERIS AND 

NAUTICAL ALMANAC. 



68 



SPECIAL TABLES. 



TAB1E XXI.— Mean Right Ascensions of Standard Stars for 1860.0. 



Star's name. 



a Andromedae . . 

7 Pegasi, (Algenib) 
* 8 Hydri .... 

a Cassiopese 
*21 Cassiopese . . 



8 Ceti 

e Piscium 

■ a Ursse Minoris, ( Polaris) 

^Ceti 

l 38 Cassiopese .... 



7] Piscium . . . . 
a Eridani, (Achernar). 
o Piscium . . . . 
8 Arietis . . . . 
*50 Cassiopese 



a Arietis 
£ l Ceti . . 
i Cassiopese 
7 Ceti . . 
a Ceti . 



*48 Cephei, (Hev.) 
C Arietis . . 
a Persei . 
6 Persei . . 
rj Tauri . . . 



C Persei 

7 1 Eridani 

7 Tauri 

e Tauri 

a Tauri, (Aldebaran) . 

I 9 Camelopardalis . . . 
i Aurigse 

II Orionis 

a Aurigse, (Co^eZZa) . 

j3 Orionis, ( Rigel) . 

8 Tauri 

f Groombridge 966 . . 

6 Orionis 

a Leporis 

e Orionis 

a Columbse 

a Orionis 

*22 Camelopardalis, (Hev.). 
fi Geminorum . 
a Argus, (Canopus) . 

7 Geminorum . 

*51 Cephei, (Hev.) . . , 

a Canis Majoris, (Sirius) , 

e Canis Majoris 

6 Canis Majoris 



Mag. 



2 

3.2 
3 

Var. 
6 

2 

4 
2 
3 
6 



4.3 
1 
4 

3.2 
4 

2 
4.5 

4 
3.4 

2.3 



6 

45 

'2 

3 

3 

3 
3 
4 
4.3 
1 

4 
3 

5 
1 

1 



2 

6.7 
2 
3 

2 

2 

Var. 

5.4 

3 

1 

2.3 
5 
1 

2.1 
2 



Right Ascension. 



h m s 

1 9.427 

6 1.797 

18 19.936 

32 35.073 

36 28.192 

36 33.601 

55 40.798 

1 8 3.195 
1 17 1.568 
1 20 52.220 

1 23 59.745 
1 32 29.669 
1 38 0.301 
1 46 54.740 
1 51 33.318 

1 59 17.286 

2 5 34.978 
2 17 34.852 
2 36 2.966 

2 54 57.857 

3 2 42.022 
3 6 51.602 
3 14-20.684 
3 32 58.207 
3 39 10.067 

3 45 20.325 

3 51 29.919 

4 11 49.768 
4 20 26.70J 
4 27 53.441 

4 40 9.364 
4 47 52.863 

4 56 34.329 

5 6 21.120 
5 7 48.651 

5 17 26.642 
5 21 1.861 
5 24 51.337 
5 26 33.420 
5 29 6.637 

5 34 34.859 

5 47 35.602 

6 3 24.648 
6 14 29.434 
6 20 50.780 

6 29 37.426 

6 33 38.690 

6 38 58.677 

6 53 7.502 

7 2 41.998 



An. Variation. 



-f- 3.08580 
3.08157 
3.27548 
3.35801 
3.81033 

3.01414 
3.10773 

18.78480 
2.99756' 
4.33548 

3.19737 
2.23616 
3.16045 
3.29848 
4.95626 

3.36565 
3.16798 
4.82371 
3.10142 
3.12762 

7.30312 
3.43481 
4.24198 
4.23447 
3.55181 

3-75354 
2.79595 
3.40594 
3.49403 
3.43452 

5.90462 
3.89493 
3.42404 
4.42034 

2.88030 

3.78669 
7.97812 
3.06350 
2.64606 
3.04152 

2.17186 
3.24652 
6.61942 
3.63280 
1.33010 

3.46909 

30.52200 

2.64513 

2.35835 

-f 2.43958 



Sec. Variation. 



+ 0.01820 
-f- 0.00995 
— 0.16094 
+ 0.05503 
+ 0.15810 



— 0.00566 
+ 0.00864 
+12.78781 
+ 0.00169 
-f 0.14223 

+ 0.01423 

— 0.01315 
+ 0.01106 
-i- 0.01818 
+ 0.18464 

-f 0.02026 

+ 0.01154 

-J- 0.13002 

+ 0.00918 

+ 0.00967 

+ 0.35066 
-}- 0.01764 
-\- 0.04830 
-\- 0.04159 
-f 0.01730 

-f- 0.02220 

+ 0.00454 

+ 0.01156 

+ 0.01215 

-f 0.01061 

+ 0.07036 
-f 0.01458 
+ 0.00785 
+ 0,01655 
-f- 0.00397 

+ 0.00804 
+ 0.08056 
+ 0.00382 
+ 0.00297 
-f- 0.00356 

-f 0.00275 
-}- 0.00278 

— 0.00473 

— 0.00040 
+ 0.00100 

— 0.00141 

— 1.77295 
0.00000 

-f- 0.00132 
+ 0.00118 



Prop. Motion. 



Circumpolar Stars. 



SPECIAL TABLES. 



69 



TABIE XXI — 


Mean Declinations of Standard Stars for 1860.0. 


1 

Star's name. 


Declination. 


An. Variation. 


Sec.Variation. 


Prop. Motion. 


Authority. 


a Andromedse. . . . 


O 1 II 

+28 19 3.11 


+19.9057 


ii 
—0.0109 


—0.1496 


Gould. 


7 Pegasi 


+14 24 18.85 


20.0487 


0.0205 


+0.0001 


« < 


P Hydri 


—78 2 36.91 


20.2504 


0.0440 


+0.2590 


Brit. N. A., 1848. 


a Cassiopese .... 


+55 46 7.98 


19.8106 


0.0779 


—0.0425 


Gould. 


21 Cassiopese .... 


+74 13 17.73 


19.7431 


0.0963 


—0.0590 


" 


(3 Ceti 


—18 45 20.08 


19.8402 


0.0787 


+0.0393 


(C 


e Piscium 


+ 78 8.22 


19.4918 


0.1173 


+0.0253 


a 


a Ursse Minoris . 


+88 33 47.08 


19.1797 


0.8137 


+0.0019 


<( 


l Ceti ....... 


— 8 54 23.91 


18.7409 


0.1520 


—0.1926 


a 


38 Cassiopese .... 


+69 32 32.03 


18.7408 


0.2279 


—0.0791 


a 


7] Piscium 


+14 37 22.87 


18.7417 


0.1752 


+0.0182 


«( 


a Eridani 


—57 56 55.77 


18.4328 


0.1360 


—0.0115 


Brit. N. A., 1848. 


o Piscium 


+ 8 27 6.29 


18.2876 


0.1994 


+0.0381 


Gould. 


(3 Arietis 


+20 7 19.99 


17.8185 


0.2244 


—0.0941 


" 


50 Cassiopese .... 


+71 44 27.27 


17.7262 


0.3450 


0.0000 


" 


a Arietis 


+22 47 55.28 


17.2661 


0.2527 


—0.1335 


<< 


£ l Ceti 


+ 8 11 17.40 


17.1083 


0.2485 


—0.0109 


(< 


i Cassiopese .... 


+66 46 10.70 


16.5300 


0.4039 


—0.0190 


(< 


7 Ceti 


+ 2 38 37.59 


15.4304 


0.2906 


—0.1531 


" 


a Ceti 


+ 3 32 17.29 


14.4003 


0.3214 


—0.0893 


" 


48 Cephei 


+77 12 49.84 


13.9492 


0.7702 


—0.0641 


« 


£ Arietis 


+20 31 23.18 


13.6937 


0.3704 


—0.0570 


" 


a Persei 


+49 21 33.12 


13.2237 


0.4699 


—0.0428 


" 


6 Persei 


+47 20 9.29 


11.9518 


0.5000 


—0.0500 


(« 


7] Tauri 


+23 40 8.69 


11.5153 


0.4298 


—0.0476 


" 


C, Persei 


+31 27 51.97 


11.0935 


0.4604 


—0.0240 


<( 


7 1 Eridani 


—13 54 32.91 


10.5765 


0.3504 


—0.0885 


'* 


7 Tauri . „ . . . 


+15 17 10.88 


9.1160 


0.4474 


—0.0022 


cc 


e Tauri 


+18 51 59.72 


8.4329 


0.4669 


—0.0076 


(( 


a Tauri 


+16 13 28.29 


7.6789 


0.4650 


—0.1662 


<< 


9 Camelopardalis . 


+66 5 55.38 


6.8556 


0.8137 


+0.0090 


.1 


t Aurigse . . . . . 


+32 56 25.77 


6.1952 


0.5427 


—0.0123 


" 


11 Ononis 


+15 12 20.28 


5.4692 


0.4832 


—0.0106 


n 


a Aurigse 


+45 51 3.06 


4.2275 


0.6303 


—0.4243 


' ' 


j3 Orionis 


— 8 21 58.98 


4.5280 


0.4111 


+0 0004 


(( 1 


(3 Tauri 


+28 29 6.43 


3.5295 


0.5446 


—0.1731 


( 


Groombridge 966 . 


+74 56 32.00 


3.3916 


1.1494 


—0.0021 


(( 


6 Orionis 


— 24 21.98 


3.0538 


0.4430 


—0.0096 


" 


a Leporis 


—17 55 30.86 


2.9423 


0.3333 


+0.0261 


" 


e Orionis 


— 1 17 40.47 


2.6991 


0.4406 


+0.0041 


" 


a Columbse .... 


—34 9 2.81 


2.1930 


0.3160 


—0.0217 


.« 


a Orionis 


+ 7 22 38.93 


+ 1.1023 


0.4736 


+0.0175 


If 


22 Camelopardalis . 


+69 21 42.78 


—0.4075 


0.9649 


—0.1090 


" 


fi Geminorum .... 


+22 34 54.00 


1.3743 


0.5290 


—0.1071 


" 


a Argus 


—52 37 13.74 


1.8215 


0.1924 


+0.0002 


Brit. N. A., 1848. 


7 Geminorum 


+16 30 54.82 


2.6125 


0.5011 


—0.0273 


Gould. 


51 Cephei 


+87 14 54.04 


2.9808 


4.3335 


—0.0472 


" 


a Canis Majoris . 


— 16 31 36.16 


4.6029 


0.3810 


—1.2092 


Wolfers. 


e Canis Majoris . 


—28 47 2.22 


4.6037 


0.3330 


+0.0036 


Gould. 


6 Canis Majoris . 


—26 10 23.13 


—5.3812 


—0.3403 


+0.0374 


1 1 



70 



SPECIAL TABLES. 



TABLE XXI.— Mean Right Ascensions of Standard Stars for 1860.0. 



Star's name. 



Mag. 



Right Ascension. 



An. Variation. 



Sec. Variation. 



Prop. Motion. 



6 Geminorum 
Piazzi vii. 67 



a Geminorum, (Castor) . 
a Canis Minoris, (Procyon) 
{3 Geminorum, (Pollux) . 



Geminorum . . . 
f 3 Ursse Majoris, (H.) . 
15 Argus, (t). . . . 

e Hydrse .... 

i Ursse Majoris 

! a 2 Ursse Majoris . . 

k Cancri .... 

i Argus 

f 1 Draconis, (H.) . . 

a Hydrse .... 



*' d Ursse Majoris, 
Ursse Majoris 



e Leonis 
fi Leonis 



a Leonis, (Regulus) 

*32 Ursse Majoris 

y l Leonis 
* 9 Draconis, (H.) . 

p Leonis 

rj Argus .... 



I Leonis . . 
a Ursse Majoris 
6 Leonis 
6 Crateris . . 
r Leonis . . 



X Draconis . 

v Leonis, 

/? Leonis 

y Ursse Majoris 

o Virginis . . 



4 Draconis, (H.) 
/3 Cbamseleontis 
7] Virginis . 
a 1 Crucis 
j3 Corvi . . . 



*32 Camelopardal'is, (H.) (foil) 
12 Canum Venaticorum . . 

6 Virginis 

a Virginis, (Spica) . 



£ Virginis . . 
ri Ursse Majoris . 
rj Bootis . . , 
/3 Centauri . , 
a Draconis . 



3.4 

6 
2.1 

1 
1.2 

5 
6 
3 

3.4 
3 



5 
5 

2 

4.5 

2 

5.4 
3 
3 
4 

1.2 

6 

2 

5.4 

4 

2 

5 

2 

2.3 

3.4 

5 



3.4 
5.4 

2 
2.3 

4 

5.4 

5 
3.4 

1 
2.3 



3.4 

5.4 

3 

4.5 

1 



3.4 
2 
3 

1 
3.4 



h m s 
7 11 45.569 
7 16 16.666 
7 25 39.450 
7 31 58.363 
7 30 44.678 

7 44 55.501 

7 58 49.845 

8 1 34.981 
8 39 21.616 
8 49 36.286 

8 58 1.288 

9 9.674 
9 13 20.530 
9 16 48.367 
9 20 42.459 

9 22 1.965 
9 23 28.286 
9 37 53.912 
9 44 47.659 
10 54.794 

10 7 49.327 
10 12 14.938 
10 23 5.172 
10 25 26.257 
10 39 38.279 

10 41 53.734 

10 55 3.364 

11 6 39.521 
11 12 20.625 
11 20 44.232 



11 23 2.875 
11 29 46.889 
11 41 54.983 
11 46 26.987 

11 58 4.620 

12 5 35.671 
12 10 12.636 
12 12 44.660 
12 18 50.086 
12 27 2.370 

12 27 29.236 
12 48 8.627 

12 49 28.417 

13 2 42.278 
13 17 49.316 

13 27 33.709 
13 42 1.238 
13 48 1.143 

13 53 58.685 

14 36.040 



+3.59161 
6.32323 
3.84071 
3.14674 
3.68326 

3.68595 
6.08409 
2.55624 
3.18504 
4.14609 

5.39428 
3.25653 
1.60178 
9.23317 
2.94970 

5.45077 
4.05784 
3.42186 
3.42738 
3.20447 

4.45459 
3.31931 
5.34531 
3.16725 

2.30708 

3.16054 
3.77075 
3.20384 
2.99523 
3.08831 

3.65420 
3.07180 
3.06650 
3.19421 
3.05994 

2.92306 
3.32097 
3.06812 
3.25791 
3.13634 

2.60780 
0.32723 
2.81902 
3.09984 
3.15153 

3.05200 
2.37533 
2.85862 
4.15306 
+1.62222 



—0.00716 
0.08224 
0.01310 
0.00420 
0.01255 

—0.01301 
—0.11856 
+0.00138 
—0.00707 
0.04443 

—0.13444 

0.00937 
0.00210 
0.80709 
0.00142 

—0.17036 
0.05532 
0.01778 
0.01967 
0.01008 

—0.11571 

0.01499 

0.28415 

—0.00806 

+0.02142 

—0.00818 
—0.08221 
—0.01341 
+0.00629 
—0.00218 



—0.11285 
+0.00024 
—0.00729 
—0.04400 
—0.00317 

—0.12901 
+0.17339 
+0.00256 
+0.06607 
+0.01627 

—0.05496 
+0.23160 
—0.01510 
+0.00773 
+0.01141 

+0.00631 
—0.01029 
—0.00047 
+0.08330 
+0.00517 



Circuropolar Stars. 



SPECIAL TABLES. 



71 



TABLE XXI— Mean Declinations of Standard Stars for 1800.0. 


Star's name. 


Declination. 


An. Variation. 


Sec. Variation. 


Prop. Motion. 


Authority. 


d Geminorum .... 


o / // 
+22 14 11.64 


—6.1683 


—0.4956 


Ir 

+0.0092 


Gould. 


Piazzi, vii. 67 . 


+68 44 42.08 


6.6254 


0.8692 


—0.0730 


«' 


a Geminorum .... 


+32 11 29.45 


7.3991 


0.5270 


—0.0766 


Wolfers. 


a Canis Minoris . . . 


+ 5 34 50.54 


8.8766 


0.4200 


—1.0425 


44 


j3 Geminorum .... 


+28 21 39.43 


8.2593 


0.4803 


—0.0429 


Gould. 


<p Geminorum .... 


+27 7 28.79 


8.8784 


0.4784 


—0.0140 


« 


3 Ursae Majoris . . . 


+68 52 49.75 


9.9500 


0.7672 


—0.0110 


a 


15 Argus 


—23 54 10.34 


10.0747 


0.3166 


+0.0727 


" 


e Hydrse ....*. 


+ 6 55 48.21 


12.8705 


0.3499 


—0.0221 


« 


i Ursae Majoris . . . 


+48 35 17.66 


13.7891 


0.4359 


—0.2657 


(< 


o 2 Ursae Majoris . ." . 


+67 41 54.30 


14.1534 


0.5548 


—0.0950 


<( 


k Cancri 


+11 13 45.73 


14.1708 


0.3293 


+0.0207 


" 


i Argus 


—58 41 17.84 


14.9116 


0.1482 


+0.0709 


Brit. N. A., 1848. 


1 Draconis . . 


+81 56 22.52 


15.1773 


0.8726 


+0.0050 


Gould. 


a Hydrae 


— 8 3 12.79 


15.3589 


0.2688 . 


+0.0442 


" 


24 Ursse Majoris, (d) . . 


+70 26 31.53 


15.4271 


0.4976 


+0.0501 


IC 


6 Ursae Majoris . 


+52 18 46.37 


16.1117 


0.3570 


—0.5552 


" 


s Leonis 


+24 25 1.40 


16.3283 


2827 


—0.0060 


" 


fi Leonis 


+26 39 52.13 


16.7115 


0.2695 


—0.0460 


(( 


a Leonis 


+12 39 0.45 


17.3868 


0.2233 


+0.0215 


(( 


32 Ursae Majoris . . . 


+65 48 16.36 


17.7356 


0.2961 


—0.0349 


(( 


y 1 Leonis 


+20 32 54.31 


17.9983 


0.2130 


—0.1187 


" 


9 Draconis .... 


+76 25 55.14 


18.3190 


0.3121 


—0.0300 


" 


p Leonis 


+10 1 33.18 


18.3711 


0.1774 


+0.0014 


" 


ij Argus 


—58 56 55.25 


18.7435 


0.1073 


+0.0917 


Brit. N. A.. 1848. 


1 Leonis 


+11 17 6.68 


18.9028 


0.1459 


—0.0007 


Gould. 


a Ursae Majoris . . . 


+62 30 20.87 


19.3382 


0.1447 


—0.0826 


i< 


6 Leonis 


+21 17 25.20 


19.6398 


0.0998 


—0.1250 


" 


6 Crateris 


—14 1 16.21 


19.4277 


0.0816 


+0.1958 


t< 


r Leonis 


+ 3 37 37.16 


19.7706 


0.0683 


—0.0087 


'* 


1 Draconis . . . . 


+70 6 10.94 


19.8544 


0.0768 


—0.0590 


t< 


91 Leonis, (v) . 


— 3 3.39 


19.8285 


0.0503 


+0.0529 


" 


/? Leonis . . . . ' . 


+15 21 17.18 


20.0855 


0.0263 


—0.0924 


a 


y Ursae Majoris . . . 


+54 28 23.28 


20.0181 


—0.0190 


+0.0024 


a 


o Virginis .... 


+ 9 30 39.20 


20.0048 


+0.0049 


+0.0500 


('( 


4 Draconis .... 


+78 23 38.51 


20.0575 


0.0191 


—0.0080 


(< 


3 Chamseleontis . . . 


—78 32 5.54 


2C.0443 


0.0302 


—0.0087 


Brit. N. A., 1848. 


7] Virgin's 


+ 06 42.14 


20.0369 


0.0334 


—0.0124 


Gould. 


a 1 Crucis 


—62 19 18.83 


19 9368 


0.0462 


+0.0511 


Brit. N. A., 1848. 


j3 Corvi 


—22 37 17.85 


19.9533 


0.0624 


—0.0372 


Gould. 


k Draconis .... 


+70 33 36.42 


19.9355 


0.0539 


—0.0240 


^ 


32 Camelopardalis , 


+84 10 25.52 


19.6356 


0.0180 


—0.0210 


(i 


12 CanumVenaticorum . 


+39 4 31.12 


19.5247 


0.0958 


+0.0654 


" 


6 Virginis 


— 4 47 25.44 


19.3300 


0.1305 


—0.0204 


" 


a Virginis 


—10 25 44.85 


18.9290 


0.1611 


—0.0186 


" 


£" Virginis 


+ 07 17.18 


18.5417 


0.1729 


+0.0678 


» 


tj Ursae Majoris . 


+50 47.62 


18.1226 


0.1563 


—0.0215 


44 


r] Bootis 


+19 6 4.38 


18.2021 


0.1968 


—0.3332 


• 4 


/3 Centauri 


—59 41 42.79 


17.6953 


0.2930 


—0.0692 


Brit. N. A., 1848. 


a Draconis .... 


+65 2 44.10 


—17.3763 


+0.1258 


—0.0340 


Gould. 

1 



72 



SPECIAL TABLES. 



TABLE 1X1.— Mean Eight Ascensions of Standard Stars for 1869.0. 



Star's name. 



Right Ascension. 



An. Variation. 



Sec. Variation. 



Prop. Motion. 



a Bootis, (Arcturus) 
6 Bootis .... 
5 Ursse Minoris 
a 2 Centauri . 
e Bootis .... 



a 2 Librae . . 
8 Ui see Minoris 
P Bootis . . . 
/? Librae . 
ju. 1 Bootis . 



y 2 Ursse Minoris 
a Coronse Borealis 
a Serpentis . . 
e Serpentis . • . 
£ Ursse Minoris 



e Coronse Borealis . 
d Scorpii 
/^Scorpii 

Groombridge 2320 
6 Ophiuchi . 



r Herculis . . , 

a Scorpii, (Antares) 

t] Draconis . 

A Draconis . 

C, Ophiuchi . . . 



a Trianguli Australis 
7] Herculis . 
/c Ophiuchi . 
d Herculis . 
e Ursse Minoris 



a 1 Herculis 

44 Ophiuchi 

8 Draconis 

a Ophiuchi 

f o) Draconis 



jj, Herculis . 

* ip 1 Draconis, (pr.) 

* a Octantis . 
y Draconis . 

y 2 Sagittarii . . 



fj} Sagittarii . 
5 Ursse Minoris 
7] Serpentis 



1 Aquilse, (3 H. Scuti) 
a Lyrse, (Vega) . . 



8 Lyrse . 
a Sagittarii 
f 50 Draconis 
£ Aquilse 
d Sagittarii 



1 
4.3 
5.4 

1 
2.3 



2.3 

2 
•3 

2 
4.3 



3 

2 

2.3 
3.4 
4.5 



2.3 

2 
G.5 

3 



3.4 
1.2 
3.2 
5 
3.2 



2 
3 

3.4 
5 

4.5 

Var. 

5 

3.2 

2 

5 



3.4 
4.5 
6 
2.3 
3.4 



4 
4.5 

3 
4.5 

1 

Var. 

2.3 

6 

3 

5 



h m s 
•14 9 16.600 
14 20 25.797 
14 27 52.026 
14 30 7.977 
14 38 52.388 

14 43 8.343 
14 51 9.200 

14 56 40.350 

15 9 28.642 
15 19 12.148 



15 20 58.742 
15 28 45.665 
15 37 22.437 
15 43 50.379 
15 49 8.359 

15 51 47.594 
15 52 3.640 

15 57 18.070 

16 5 57.164 
16 7 0.693 

16 15 31.946 
16 20 49.733 
16 22 6.135 
16 28 16.400 
16 29 27.162 

16 33 52.787 
16 38 5.849 
16 51 2.560 

16 56 26.193 

17 26.893 

17 8 15 884 
17 17 49.359 
17 27 16.217 

17 28 26.188 
17 37 46.464 

17 40 58.841 
17 44 26.134 
17 48 6.608 
17 53 21.468 

17 56 48.940 

18 5 23.480 
18 17 30.123 
18 14 3.956 
18 27 35.2fi2 
18 32 11.897 

18 44 54.671 

18 46 34.982 
18 50 52 058 

18 58 58.484 

19 9 26.501 



+ 



+ 



2.73406 
2.04328 
0.22573 
4.02459 
2.62154 

3.30497 
0.26134 
2.25991 
3.21868 
2.26760 

0.15562 

2.53905 
2.94959 
2.98604 
2.31107 

2.48481 
3.53431 
3.47555 
0.12786 
3.13680 

1.79739 
3.66695 
0.80185 
0.14696 
3.29667 



+ 6.27219 

+ 2.05393 

+ 2.83417 

-i- 2.20866 

— 6.42185 



2.73286 
3 65795 
1.35034 
2.78175 
0.35701 



+ 2.34439 

— 1,08473 
+109.01126 
+ 1.39318 
+ 3.85209 

+ 3.58601 

— 19.35124 
+ 3.09920 
+ 3.26430 
+ 2.03143 



2.21409 
3.72419 
1.89172 
2.75475 
3.51410 



+0.00234 
—0.00126 
+0.12228 
+0.07274 
-0.00007 

+0.01548 
0.10430 
0.00004 
0.01178 
0.00124 

+0.07528 
0.00239 
0.00612 
00653 
0.20415 

+0.00297 
0.01595 
0.01424 
0.04068 
0.00829 

+0.00515 
0.01516 
0.01848 
0.04097 
0.00787 

+0.09346 
0.00385 
0.00438 
0.00324 
0.30174 

+0.00346 
0.00748 
0.00515 
0.00334 
0.01095 

+0.00379 
0.01897 
8.54270 
0,00360 
0/00249 

+0.00101 
—0.52531 

+0.00185 
+0.000U8 
+0.00104 

+0.00149 
-0.00514 
—0 05569 
+0.00041 
—0.00605 



* Circuinpolar Stars. 



SPECIAL TABLES. 



73 



1 

TABLE XXI .— 


\Iean Declinations of Standard Stars for 1880.0. 


Star's name. 


Declination. 


An.Variation. 


Sec. Variation. 


Prop. Motion. 


Authority. 


a Bootis 


/ II 

+19 54 47.55 


—18.9129 


+ 0.2144 


—1.9643 


Gould. 


6 Bootis ..... 


+52 29 57.51 


16.8025 


+ 0.1762 


—0.3953 


*' 


5 Ursae Minoris . 


+76 19 5.08 


16.0445 


— 0.0125 


—0.0200 


" 


a- Centauri .... 


—60 15 8.84 


15.0808 


+ 0.3329 


+0.8232 


Brit. N. A., 1848. 


e Bootis 


+27 39 59.41 


15.3967 


+ 0.2502 


+0.0300 


Gould. 


a 2 Librae 


—15 27 26.23 


15.2415 


+ 0.3206 


—0.0561 


t< 


(3 Ursae Minoris . 


+74 43 38.57 


14 7471 


— 0.0203 


—0.0290 


(t 


/3 Bootis ..... 


+40 56 40.72 


14.4247 


+ 0.2355 


—0.0390 


" 


6 Librae 


— 8 51 48.10 


13.5871 


+ 0.3509 


—0.0041 


< < 


/^Bootis 


+37 52 12.68 


12 8456 


+ 0.2571 


+0.0993 


" 


y 2 Ursae Minoris . . . 


+72 19 56.11 


12.7977 


— 0.0120 


+0.0280 


« 


a Coronas Borealis . . 


+27 11 17.90 


12.3698 


+ 0.2989 


—0.0750 


" 


a Serpentis .... 


+ 6 52 8.21 


11.6309 


+ 0.3555 


+0.0598 


" 


e Serpentis .... 


+ 4 54 7.07 


11.1466 


+ 0.3667 


+0,0801 


" 


'C, Ursae Minoris . 


+78 13 23.82 


10.8422 


— 0.2774 


—0.0029 


(C 


e Coronae Borealis . . 


+27 17 9.14 


10.6767 


+ 0.3115 


—0.0336 


(. 


6 Scorpii 


—22 13 9.85 


10.6214 


0.4417 


+0.0018 


M 


B x Scorpii 


—19 25 7.65 


10.2505 


0.4401 


—0.0189 


Hill. 


Groornbridge 2320 . 


+88 10 44.98 


9.5034 


0.0194 


+0.0699 


Gould. 


6 Ophiuchi .... 


— 3 19 49.73 


9.6195 


0.4067 


—0.1277 


" 


r Herculis 


+46 38 54.90 


8.8023 


+ 0.2387 


+0.0263 


<< 


a Scorpii 


—26 7 2.57 


8.4343 


+ 0.4892 


—0.0244 


1 1 


rj Draconis .... 


+61 49 54.59 


8.2407 


+ 0.1103 


+0.0679 


Hill. 


A Draconis .... 


+69 4 15.40 


7.7803 


— 0.0163 


+0.0340 


Gould 


£ Ophiuchi . . . . 


—10 16 47.33 


7.6724 


+ 0.4470 


+0.0468 


" 


a Triaaguli Australis 


—68 45 50.10 


7.4397 


+ 0.8541 


—0.0796 


Brit. N. A., 1848. 


7j Herculis 


+39 11 27.23 


7.0797 


+ 0.2840 


—0.0641 


Gould. 


k Ophiuchi .... 


+ 9 35 45.26 


5.9212 


+ 0.3944 


+0.0227 


"■ 


d Herculis 


+33 46 24.79 


5.4593 


+ 0.3118 


+0.0315 


" 


e Ursae Minoris . 


+82 15 41.05 


5.1518 


— 0.9009 


+0.0011 


" 


a 1 Hercnlis 


+14 33 11.01 


4.4418 


+ 0.3903 


+0.0472 


(< 


44 Ophiuchi .... 


—24 2 31.07 


3.7555 


+ 0.5261 


—0.0853 


" 


/3 Draconis .... 


+52 24 22.98 


2.8584 


+ 0.1958 


—0.0041 


Hill. 


a Ophiuchi .... 


+12 39 54.60 


2.9676 


+ 0.4041 


—0.2143 


Gould. 


to Draconis .... 


+68 49 18.76 


1.6499 


— 0.0501 


+0.2920 


" 


fi Herculis 


+27 48 19.08 


2.3859 


+ 0.3379 


—0.7234 


(t 


ip 1 Draconis .... 


+72 12 59.31 


1.6220 


— 0.1570 


—0.2610 


" 


a Octantis 


—89 16 40.42 


1.0400 


+15.8781 


0.0000 


Brit. N. A., 1848. 


y Draconis .... 


+51 30 24.48 


0.6181 


+ 0.2020 


—0.0369 


Wolfers. 


y 2 Sagittarii 


—30 25 16.86 


— 0.4984 


+ 0.5610 


—0.2202 


Gould. 


fi x Sagittarii .... 


—21 5 28.68 


+ 0.4743 


+ 5224 


+0.0026 


it 


6 Ursae Minoris . . . 


+86 36 6.98 


1.5733 


— 2,8099 


+0.0432 


n 


1] Serpentis .... 


— 2 55 53.48 


0.5603 


+ 0.4447 


—0.6698 


" 


J Aquiiae 


— 8 20 17.29 


2.0989 


+ 0.4713 


—0.3095 


it 


a Lyrae 


+38 39 J9.92 


3.0924 


+ 0.2948 


+0.2839 


" 


,3 Lyrae ..... 


+33 12 9.00 


3,8926 


+ 0.3151 


—0.0125 


(< 


a Sagittarii .... 


—26 27 58.26 


3.9e64 


+ 0.5304 


—0.0621 


" 


50 Draconis .... 


+75 15 59.70 


4.4729 


— 0.2714 


+0.0580 


" 


'(, Aquiiae . . . . , 


+13 39 30.42 


5.0185 


+ 0.3860 


—0 0855 


1 1 


d Sagittarii .... 


—19 11 51.51 


+ 6.0243 


+ 0.4863 


+0.0401 





74 



SPECIAL TABLES. 



TABLE XXL— Mean Right Ascensions of Standard Stars for 18G0.0. 



Star's name. 



Mag. 



Right Ascension. 



An. Variation. 



Sec. Variatian. 



Prop. Motion. 



6 Draconis 
r Draconis 
d Aquilse 

k Aquilse 

7 Aquilse 



a Aquiise, (Altair) 

(3 Aquilae . . . 

s Draconis . 

t Aquilse 

1 Ursse Minoris 



c 2 Capri corni 
k Cephei 
a Pavonis . 
7r Capricorni 
£ Delphini . 



Groombridge 3241 
a Cygni .^ . . . 
fi Aquarii . 
v Cygni 

12 Year Cat. 1879 



61 Cygni (pr.) 
£ Cygni. . 
a Cephei 
1 Pegasi 
/? Aquarii . 



(3 Cephei . 
t, Aquarii . 
e Pegasi 
11 Cephei , 
fj. Capricorni 



79 Draconis 
a Aquarii 
a Gruis . 
6 Aquarii 
7r Aquarii 



7] Aquarii . 
*226 Cephei (B.) 

£ Pegasi 
* i Cephei 

A Aquarii . 



a Pis. Aus. (Fomalhaut) 
a Pegasi, (Markab) . 
o Cephei .... 
6 Piscium .... 
c Piscium .... 



3 
5 
3.4 
5 
3 



1.2 
4 
4 

6.5 
6.7 



3.4 
4.5 

2 
5 



6.7 

2.1 

5.4 

4 

6 



3 
3.2 
4.5 

3 



3 

5.4 

2.3 

5 

5 



* 7 Cephei . . . 

* Groombridge 4163 
w Piscium . . . 



6.7 

3 

2 
4.5 
5.4 



4.3 
5.6 
3.4 
4.3 
4 



1.2 
2 
6.5 
4 5 
4.5 



3 4 

7 
4 



h m s 
19 12 30.754 
19 18 13.278 
19 18 26.314 
19 29 21.465 
19 39 36.205 



19 43 57.103 
19 48 26.146 
19 48 37.643 

19 57 17.998 

20 3 53.941 

20 10 17.032 
20 13 31.937 
20 14 33.200 
20 19 18.236 
20 26 31.431 

20 30 34.967 
20 36 39.578 
20 45 5.967 
20 51 57.277 
20 53 48.777 



21 37.437 
21 6 58.728 
21 15 14.138 
21 15 36.799 
21 24 11.185 



21 26 50.335 
21 30 17.778 
21 37 18.600 
21 39 51.457 
21 45 39.575 

21 51 7.560 
21 58 35.522 

21 59 23.576 

22 9 26.628 
22 18 7.589 



22 28 9.680 
-22 29 48.070 
22 34 28.790 
22 44 42.244 
22 45 18.502 



22 49 54.422 

22 57 47.3: 9 

23 12 53.525 
23 20 52.012 
23 32 45.061 

23 33 37.821 
23 48 3.644 
23 52 7.427 



+ 0.03629 
— 1.09981 
+ 3.02470 
-f 3.23085 
+ 2.85292 



+ 2.92851 
+ 2.94711 
— 0.16643 
+ 2.93359 
—56.17110 



+ 3.33419 
— 1.87463 
+ 4.80157 
+ 3.44277 

-f- 2.86610 



— 0.20019 
+ 2.04369 
+ 3.24122 
+ 2.23340 

— 2.45812 



-f- 2.68531 
2.54973 
1.43812 

2.77387 
3.16505 



+ 0.80412 
3.19930 
2.94799 
0.91C65 

3.28073 



+ 0.74280 
3.08423 
3.81920 
3.17142 
3.06565 



+ 3.08399 
1.08725 
2.98812 
2.11526 
3.13219 



-f- 3.33190 
2.98380 
2.43193 
3.04044 
3.08425 

-f- 2.39398 

2.83893 

-f 3.07756 



0.02301 
0.05829 
0.00182 
0.00438 
0.00103 



- 0.00182 
0.00144 
0.04326 
0.00201 

29.83668 



0.00847 
0.16370 
0.05914 
0.01148 
0.00127 



— 0.06643 
-f 0.00216 

— 0.00826 
-f 0.00368 

— 0.30440 



+ 0.01494 
+ 0.00388 

— 0.00630 
+ 0.00183 

— 0.00717 



0.03379 

0.00824 
0.00059 
0.03188 
0.01136 



— 0.04568 
0.00423 
0.04601 
0.00768 
0.00284 



— 0.00316 

— 0.03295 
+ 0.00220 
4- 0.02204 

— 0.00640 



— 02136 
4- 0.00558 
4- 04', 48 
4- 0.00257 
4- 0.00299 

4- 07122 
4- 0-08750 
+ 0.0U466 



4-0.0192 
—0.0264 
4-0.0152 
—0.0003 
4-0.0008 

4-0.0362 
4-0.0015 
4-0.0144 
4-0.0024 
—0.0731 



4-0.0026 
4-0.0025 
4-0.0037 

0.0000 
—0.0006 



—0.0028 
4-0.0005 
4-0.0010 
-f-0.0006 

—0.0115 



-f-0.3516 
— 0.0C06 
4-0.0217 
4-0.0081 
4-0.0020 

4-0.0018 
4-0.0062 
4-0.0028 
4-0.0265 
4-0.0215 

-f-0.0083 
-f-0.0005 
4-0.0108 
4-0.0070 
4-0.0004 

4-0.0044 
—0.0014 
4-0. 0030 
— 0.C116 

—0.0024 

-f-0.0241 
4-0 0043 
4-0.0138 
—0.0092 
4-0.0258 

— 0.02C9 
4-0.0040 
4-0.0105 



Circumpolar Stars. 



SPECIAL TABLES. 



75 



TABLE XXI.— Mean Declinations of Standard Stars for 1860.0. 



Star's name. 



Declination. 



An.Variation. 



Sec. Variation. 



Prop. Motion. 



Authority. 



6 Draconis 
r Draconis 

6 Aquilse . 
k Aquilse . 

7 Aquilse . . 

a Aquilse . 
/? Aquilse . 
e Draconis 
r Aquilse . 
1 Ursse Minoris 



a 2 Capricorni . 

k Cephei . 

a Pavonis . 

77 Capricorni . . 

e Delphini . . 

Groombridge 3241 
a Cygni . . . 
(jl Aquarii . . . 
v Cygni 

12 Year Cat. 1879 

61 Cygni (pr.) . . 
f Cygni . . . 
a Cephei . 
1 Pegasi . 
(3 Aquarii . 

(3 Cephei . . . 
£ Aquarii . 
e Pegasi ... 
11 Cephei . 
// Capricorni . . 

79 Draconis . . 
a Aquarii . . . 
a Gruis 
6 Aquarii . 
7T Aquarii . . . 

V Aquarii . . . 

226 Cephei . . . 

£ Pegasi . 

i Cephei . 

7i Aquarii . 

a Pis. Aus. . . 
a Pegasi . 
o Cephei . 
6 Piscium . . . 
i Piscium . 

y Cephei . . 

Groombridge 4163 
o Piscium . . 



+67 24 54.74 
+73 5 39.37 
+ 2 50 20.12 
— 7 20 6.31 
+10 16 29.87 

+ 8 30 5.50 
+ 63 36.04 
+69 54 39.75 
+ 6 53 8.85 
+88 53 24.30 



—12 58 32.33 
+77 17 15.90 
—57 10 44.68 
—18 40 2.24 
+10 49 48.03 

+72 3 25.94 
+44 46 53.99 

— 9 30 20.63 
+40 37 48.25 
+80 1 29.66 

+38 3 47.00 
+29 39 16.46 
+61 59 34.99 
+19 12 27.68 

— 6 11 5.07 



+69 56 47.01 
— 8 28 47.43 
+ 9 14 6.25 
+70 40 1.56 
—14 12 30.51 



+73 2 24.79 

— 59 53.78 
—47 38 11.73 

— 8 28 43.64 
+ 40 6.26 



— 50 15.96 
+75 30 18.15 
+10 6 6.56 
+65 27 52.60 

— 8 19 24.06 



—30 21 46.91 
+14 27 10.67 
+67 20 44.36 
+ 5 36 38.53 
+ 4 52 4.65 

+76 51 4.05 
+73 37 52.29 
+ 65 18.21 



+ 6.3082 
6.8107 
6.8249 
7.6445 

8.4508 



9.1685 
8.6686 
9.1500 
9.8419 
10.3231 



10.8105 
11.0342 
11.0791 
11.4237 
11.9466 



12.2275 
12.6621 
13.2103 
13.6878 
13.7443 



17.4619 
14.5501 
15.0941 
15.2009 
15.6040 



15.7032 
15.9101 
16.3005 
16.4935 

16.7389 



16.9584 
17.3024 
17.1610 
17.7559 
18.1091 



18.4168 
18.5122 

18.6822 
18.8418 
19.0524 



18.9692 
19.3005 
19.6143 
19.7377 
19.4785 

20 0709 

19.9983 

+19.9416 



+0.0050 
—0.1487 
+0.4147 
+0.4325 
+0.3739 



+0.3849 
+0 3789 
—0.0237 
+0.3691 
—7.0463 



+0.4055 
—0.2328 
+0.5806 
+0.4073 
+0.3303 



—0.0287 
+0.2256 
+0.3497 
+0.2323 
—0.2674 



+0.2997 
0.2485 
0.1310 
0.2609 

0.2837 



+0.0661 
0.2772 
0.2439 
0.0714 
0.2591 



+0.0511 
0.2199 
0.2748 
0.2074 
0.1845 



+0.1679 
0.0528 
0.1510 
0.0908 
0.1379 



+0.1392 
0.1085 
0.0644 
0.0666 
0.0452 

+0.0312 

0.0129 

+0.0069 



+0.0681 
+0.0978 
+0.0934 
+0.0218 
+0.0064 



+0.3804 
—0.4704 
—0.0039 
+0.0194 
+0.0013 



+0.0137 
— 0.0010 
-0.0306 
—0.0297 
—0.0197 



—0.0220 
—0.0041 
—0.0198 
+0.0128 
—0.0491 



+3.2420 

—0.0564 
+0.0020 
+0.0869 
+0.0077 



—0.0380 
—0.0167 
+0 0082 
+0.0721 
+0.0312 

—0.0090 
—0.0042 
—0.1810 
—0.0111 
+0.0025 

—0.0499 
—0.0100 
+0.0068 
—0.1410 
+0.0526 

—0.1556 
—0.0206 
—0.0190 
—0.0261 
—0.4355 

+0.1480 
—0.0300 
—0.1020 



Gould. 



Brit. N. A. 
Gould. 



1848. 



Hill. 
Gould. 
Wolfers. 
Gould. 



Brit. N. A. 
Gould. 



1848 



76 



SPECIAL TABLES. 



TABLE XXII.— Mean Bight Ascensions of Standard Stars, 1865—1872. 


Star's name. 


1865. 


1866. 


1867. 


1868. 


1869. 


1870. 


1871. 


1872. 




h m s 


s 


s 


8 


s 


s 


s 


s 


a Andrornedse . . . 


1 24.858 


27.945 


31.032 


34.119 


37.207 


40.294 


43.382 


46.469 


1 7 1 egasi .... 


6 17.206 


20.288 


23.370 


26.452 


29.535 


32.618 


35.700 


38.783 


I* i3 Hydri .... 


18 33.294 


39.561 


42.826 


46.089 


49.351 


52.612 


55.870 


59.128 


a dssiopeso . 


32 51.870 


55.231 


58.593 


61.955 


65.318 


68.681 


72.045 


75.409 


*2i Cassiopese . 


36 47.263 


51.082 


54.903 


58.725 


62.549 


66.375 


70.202 


74.031 


/3 Ceti 


36 48.671 


51.685 


54.699 


57.713 


60.727 


63.740 


66.754 


69.767 


| e Piscium .... 


55 56.337 


59.445 


62.554 


65.662 


68.770 


71.879 


74.987 


78.096 


r a UrsseMih.,( Polaris) 


1 9 38 747 


.58.256 


77.902 


97.686 


117.609 


137.673 


157.880 


178.231 


b l i 'eti 


1 17 16.556 


19.554 


22.551 


25.549 


28.546 


31.544 


34.542 


37.539 


L*38 Cassiopcse . . . 


1 21 13.915 


18.258 


22.603 


26.949 


31.297 


35.646 


39.996 


44.348 


7] Piscium .... 


1 24 15.734 


18.933 


22.130 


25.329 


28.527 


31.727 


34.925 


38.125 


1 a Eridani, (Achemar) 


1 32 40,849 


43.085 


45.320 


47.555 


49.789 


52.024 


54.259 


56.494 


o Piscium .... 


1 38 16.105 


19.266 


22.427 


25.588 


28.749 


31.911 


35.072 


38.234 


f3 Arietis .... 


1 47 11.235 


14.534 


17.834 


21.134 


24 434 


27.734 


31.034 


34.335 


;*50 Cassiopese . . . 


1 51 58.123 


63.089 


68.057 


73.027 


77.999 


82.973 


87.949 


92.927 


a Arietis .... 


1 59 34.1.16 


37.483 


40.850 


44.217 


47.584 


50.952 


54.319 


57.687 


J ? l Ceti 


2 5 50.820 


53.989 


57.157 


60.326 


63.495 


66.664 


69.833 


73.002 


* l Cassiopese . 


2 17 58.987 


63.818 


68.650 


73.484 


78.318 


83.154 


87.992 


92.831 


7 Ceti 


2 36 18.474 


21.576 


24.678 


27.780 


30.882 


33.985 


37.087 


40.189 


a Ceti 


2 55 13.496 


16.624 


19.752 


22.880 


26.009 


29.138 


32.266 


35.395 


•48 Cephei, (H) . . . 


3 3 18. 581 


25.904 


33.230 


40.559 


47.892 


55.229 


62.569 


69.912 


C, Arietis .... 


3 7 8.778 


12.214 


15.650 


19.086 


22.522 


25.959 


29.395 


32.832 


a Persei .... 


3 14 41.900 


46.145 


50.390 


54.635 


58.881 


63.128 


67.375 


71.622 


6 Persei .... 


3 33 19.385 


23.622 


27.859 


32.097 


36.335 


40.573 


44.812 


49.051 


r/ Tauri .... 


3 39 27.828 


31.381 


34.934 


38.487 


42.040 


45.594 


49.147 


52.701 


£ Persei .... 


3 45 39.096 


42.851 


46.606 


50.361 


54.116 


57.872 


61.628 


65 384 


j l Eridani .... 


3 51 43.899 


46.695 


49.491 


52.287 


55.084 


57.881 


60.677 


63 474 


7 Tauri .... 


4 12 6.799 


10.206 


13.612 


17.019 


20.426 


23.833 


27.240 


30.647 


e Tauri .... 


4 20 44.180 


47.675 


51.170 


54.665 


58.160 


61.655 


65.150 


68.646 


a Tauri, {Aldcbaran) . 


4 28 10.615 


14.050 


17.485 


20.921 


24.356 


27.792 


31.227 


34.663 


* 9 Camelopardalis . 


4 40 38.896 


44.805 


50.714 


56.624 


62.534 


68.446 


74.358 


80.270 


i Aurigse .... 


4 48 12.339 


16.235 


20.130 


24.026 


27.922 


31.819 


35.715 


39.612 


11 Orionis .... 


4 56 51.450 


54.874 


58.299 


61.724 


65.148 


63.573 


71.998 


75.423 


a Aurigse, (Capclla) . 


5 6 43.223 


47.644 


52.066 


56.487 


60.909 


65.331 


69.753 


74.175 


/3 Oriouis, (Rigcl) 


5 8 3.053 


5.934 


8.814 


11.695 


14.575 


17.456 


20.337 


23.217 


p Tauri 


5 17 45.577 


49.364 


53.151 


56.938 


60.725 


64.513 


68.300 


72.088 


* Groombridge 966 . 


5 21 41.761 


49.744 


57.727 


65.711 


73.696 


81.682 


89.668 


97.655 


'5 Ononis .... 


5 25 6.655 


9.719 


12.782 


15.846 


18.910 


21.974 


25.038 


28.102 


a Leporis .... 


5 26 46.651 


49.297 


51.943 


54.589 


57.236. 


59.882 


62.528 


65.175 


e Orionis .... 


5 29 21.845 


24.887 


27.928 


30.970 


34.012 


37.054 


40.096 


43.138 


a Columbse 


5 34 45.719 


47.891 


50 063 


52.235 


54.408 


56.580 


58.752 


60 924 


< a Orionis .... 


5 47 51.835 


55.082 


58.328 


61.575 


64.822 


68.069 


71.316 


74 562 


*22 Camelopardalis, (H.) 


6 3 57.744 


64.363 


70.982 


77.601 


84 220 


90.839 


97.458 


104.077 


// Ceminorum . . . 


6 14 47.598 


51.231 


54.804 


58.497 


62.130 


65.762 


69.395 


73 028 


a Argus, (Canopus) . 


6 20 57.430 


58.760 


60.090 


61.420 


62.750 


64.081 


65.411 


66.741 


y Geminorum . 


6 29 54.771 


58.240 


61.709 


65 178 


68.647 


72.116 


75.585 


79.C54 


*51 Cephei, (H.) . . 


.6 36 11.074 


41.496 


71.900 


102.285 


132.650 


162.996 


193.322 


223.629 


a Canis Mai, (Sirius) 


6 39 11.903 


14.548 


17.193 


19.838 


22.483 


25.128 


27.773 


30 419 


e Canis Mai oris . ., 


6 53 19.293 


21.651 


24.010 


26.368 


28.727 


31.085 


33.444 


35.802 


6 Canis Majoris . 


7 2 54.196 


56.636 


59.075 


61.515 


63.954 


66.394 


68.834 


71.273 



Circumpolar Stars. 



SPECIAL TABLES. 



77 



TABLE XXII. 


—Mean Declinations of Standard Stars, 1865—1872. 




1865. 


1866. 


1867. 


1868. 


1869. 


1870. 


1871. 


1872. j 


/ // 

+28 20 42.64 


21 2.54 


21 22.45 


21 42 35 


22 2.26 


22 22.16 


22 42.07 


23 1.97 


+ 14 25 59.09 


26 19.13 


26 39.18 


26 59.23 


27 19.28 


27 39.32 


27 59.37 


28 19,42 


—77 60 55.68 


60 35.43 


60 15.18 


59 54.93 


59 34.68 


59 14.43 


58 54.18 


58 33.93 


+55 47 47.03 


48 6.83 


48 26.64 


48 46.44 


49 6.25 


49 26.05 


49 45.85 


50 5.65 


+74 14 56.43 


15 16.17 


15 35.91 


15 55.64 


16 15.38 


16 35.11 


16 54.84 


17 14.57 


—18 43 40.89 


43 21.05 


43 1.22 


42 41.38 


42 21.55 


42 1.72 


41 41.88 


41 22.05 


+ 79 45.67 


10 5.15 


10 24.64 


10 44.12 


11 3.60 


11 23.08 


11 42.56 


12 2.04 


+88 35 22 88 


35 42.01 


36 1.14 


36 20.25 


36 39 36 


36 58.46 


37 17.55 


37 36.63 


— 8 52 50.22 


52 31.49 


52 12.76 


51 54.03 


51 35.30 


51 16.57 


50 57.85 


50 39.13 


+69 34 5.71 


34 24.44 


34 43.16 


35 1.89 


35 20.61 


35 39.33 


35 58.04 


36 16.76 


+14 38 56.56 


39 15.29 


39 34 02 


39 52.75 


40 11.47 


40 30.20 


40 48.92 


41 7.65 


—57 55 23.62 


55 5.19 


54 46.77 


54 28.35 


54 9.93 


53 51.50 


53 33.08 


53 14.66 


+ 8 28 37.71 


28 55.98 


29 14 26 


29 32.53 


29 50.80 


30 9.07 


30 27.34 


30 45.60 


+20 8 49.05 


9 6.86 


9 24.67 


42.47 


10 0.27 


10 18.06 


10 35.86 


10 53.65 


+71 45 55.86 


46 13.57 


46 31.27 


46 48.97 


47 6.67 


47 24 36 


47 42.05 


47 59.74 


+22 49 21.58 


49 38.83 


49 56.08 


50 13.33 


50 30.57 


50 47.82 


51 506 


51 22 29 


+ 8 12 42.91 


13 0.01 


13 17.10 


13 34.19 


13 51.23 


14 8.36 


14 25.44 


14 42.52 


+66 47 33.30 


47 49.81 


48 6.31 


48 22.81 


48 39.31 


48 55.80 


49 12.28 


49 23.77 


+ 2 39 54 70 


40 10.12 


40 25.53 


40 40.94 


40 56.34 


41 11.75 


41 27.15 


41 42.54 


+ 3 33 29.25 


33 43.64 


33 58.01 


34 12.39 


34 26.76 


34 41.13 


34 55.50 


35 9.86 


+77 13 59.49 


14 13.40 


14 27.30 


14 41.19 


14 55.07 


15 8.95 


15 22.81 


15 36.68 


+20 32 31.61 


32 45.28 


32 58.95 


33 12.62 


33 26 28 


33 39 94 


33 53.59 


34 7.24 


+49 22 39.18 


22 52.37 


23 5.57 


23 18.76 


23 31.94 


23 45.12 


23 58.29 


24 11.46 


+47 21 8.99 


21 20.91 


21 32.83 


21 44.75 


21 56.66 


22 8.56 


22 20.46 


22 32.35 


+23 4L 6.21 


41 17.70 


41 29.19 


41 40.68 


41 52.15 


42 3.63 


42 15.10 


42 26.56 


+31 28 47.37 


28 58.44 


29 9.51 


29 20.57 


29 31.62 


29 42.67 


29 53 72 


30 4.76 


—13 53 40.07 


53 29.52 


53 18.96 


53 8.41 


52 57.87 


52 47.32 


52 36.78 


52 26.25 


+15 17 56.40 


18 5.49 


18 14.58 


18 23.66 


18 32.74 


18 41.81 


18 50.88 


18 59.95 


+18 52 41.83 


52 50.24 


52 58.64 


53 7.04 


53 15.43 


53 23.82 


53 32.20 


53 40.58 


+16 14 6.63 


14 14.28 


14 21.93 


14 29.57 


14 37.21 


14 44.85 


14 52.48 


15 0.10 


+66 6 29.56 


6 36.37 


6 43.17 


6 49.96 


6 56.75 


7 3.53 


7 10.30 


7 17.06 


+32 56 56.68 


57 2.85 


57 9.01 


57 15.16 


57 21.31 


57 27.45 


57 33.59 


57 39.73 


+15 12 47.56 


12 53.00 


12 58.44 


13 3.88 


13 9.30 


13 14.73 


13 20.14 


13 25.56 


+45 51 24.11 


51 28.31 


51 32.49 


51 36.67 


51 40.85 


51 45.02 


51 49.18 


51 53.33 


— 8 21 36.39 


21 31.88 


21 27.38 


21 22.89 


21 18.39 


21 13.90 


21 9.42 


21 4.94 


+28 29 24.00 


29 27.50 


29 31.00 


29 34.49 


29 37.97 


29 41.45 


29 44.92 


29 48.39 


+74 56 48.82 


56 52.14 


56 55.46 


56 58.77 


57 2.06 


57 5.34 


57 8.62 


57 11.88 


— 24 6.74 


24 3.71 


24 0.69 


23 57.67 


23 54.65 


23 51.64 


23 48.63 


23 45.63 


—17 55 16.20 


55 13.28 


55 10.36 


55 7.44 


55 4.54 


55 1.63 


54 58.73 


54 55.83 


— 1 17 27.03 


17 24.35 


17 21.68 


17 19.02 


17 16.36 


17 13.70 


17 11.05 


17 8.40 


—34 8 51 86 


8 49.68 


8 47.50 


8 45.33 


8 43.16 


8 40.99 


8 38.82 


8 36.66 


+ 7 22 44.39 


22 45.46 


22 46.54 


22 47.61 


22 48.67 


22 49.72 


22 50.78 


22 51.83 


+69 21 40 62 


21 40.16 


21 39.69 


21 39.21 


21 38.72 


21 38.23 


21 37.72 


21 37.20 


+22 34 47.07 


34 45.66 


34 44.25 


34 42.84 


34 41.42 


34 40.00 


34 38.57 


34 37.13 


-52 37 22.87 


37 24.70 


37 26.54 


37 28.37 


37 30.21 


37 32.05 


37 33.89 


37 35.73 


+16 30 41.69 


30 39.05 


30 36.41 


30 33.76 


30 31.10 


30 28.44 


30 25.78 


30 23.11 


+87 14 38.59 


14 35 37 


14 32.11 


14 28.80 


14 25.45 


14 22.05 


14 18.61 


14 15.13 


—16 31 59.22 


32 3 85 


32 8.48 


32 13.11 


32 17.74 


32 22.38 


32 27.02 


32 31.67 


—28 47 25.28 


47 29.90 


47 34.52 


47 39.15 


47 43.78 


47 48.42 


47 53.06 


47 57.70 J 


—26 10 50.0« 
1 


10 55.48 


11 0.89 


11 6.29 


11 1170 


11 17.12 


.11 22.53 


11 27.95 



















78 



SPECIAL TABLES. 



TABLE XXII 


.—Mean Right Ascensions of Standard Stars, 1865- 


■1872. 




Star's name. 


1865. 


1866. 


1867. 


1868. 


1869. 1870. 


1871. 


1872. 




h ra s 


8 




s 


s 


8 


s 


s 


6 Geminorum . . . 


7 12 3.526 


7.117 


10.708 


14.299 


17.890 


21.481 


25.072 


28.663 


* Piazzi vii. 67 


7 16 48.272 


54.591 


60.909 


67.226 


73.542 


79.857 


86.172 


92.486 


a Geminor. (Castor) . 


7 25 58.652 


62.492 


66.332 


70.172 


74.011 


77.851 


81.690 


85.529 


a Can. Min. (Procyon) 


7 32 14.096 


17.242 


20.389 


23.535 


26.682 


29.828 


32.974 


36.120 


(3 Geminor. (Pollux) . 


7 37 3.093 


6.776 


10.458 


14.140 


17.822 


21.504 


25.186 


28.868 


<j> Geminorum . 


7 45 13.930 


17.615 


21.300 


24.985 


28.670 


32.355 


36.039 


39.724 


* 3 Ursse Majoris, (H.) , 


7 59 20.251 


26.328 


32.405 


38.480 


44.554 


50.627 


56.698 


62.769 


15 Argus, (/)... 


8 1 47.762 


50.318 


52.875 


55.431 


57.988 


60.544 


63.100 


65.657 


e Hydrse .... 


8 39 37.540 


40.725 


43.909 


47.094 


50.278 


53.463 


56.647 


59.831 


t Ursse Majoris . . 


8 49 57.011 


61.155 


65.298 


69.441 


73.583 


77.725 


81.867 


86.008 


* a 2 Ursse Majoris . . 


8 58 28.243 


33.630 


39.015 


44.399 


49.782 


55.164 


60.544 


65.923 


it Cancri .... 


9 25.955 


29.211 


32.467 


35.723 


38.979 


42.234 


45.490 


48 745 


i Argus .... 


9 13 28.539 


30.141 


3L742 


33.344 


34.946 


36.547 


38.149 


39.750 


* I Draconis,(H) . . 


9 17 34.432 


43.621 


52.802 


61.975 


71.140 


80.296 


89.445 


98.586 


a Hydrse .... 


9 20 57.207 


60.157 


63.106 


66.056 


69.006 


71.955 


74.905 


77.854 


* d Ursse Majoris . . 


9 22 29.198 


34.639 


40.079 


45.517 


50.952 


56.388 


61.821 


67.252 


6 Ursse Majoris . . 


9 23 48.568 


52.623 


56.677 


60.730 


64 783 


68.836 


72.888- 


76.940 i 


e Leonis .... 


9 38 11.019 


14.440 


17.861 


21.282 


24.702 


28.122 


31.542 


34:962 


/j, Leonis .... 


9 45 4.794 


8.221 


11.646 


15.072 


18.498 


21.924 


25.348 


28.774 


a Leonis, (Regulus) . 


10 1 10.815 


14.019 


17.223 


20.427 


23.631 


26.834 


30.038 


33.241 


*32 Ursse Majoris . . 


10 8 11.586 


16.034 


20.481 


24.927 


29.372 


33.815 


38.258 


42.699 


y 1 Leonis .... 


10 12 31.533 


34.852 


38.170 


41.488 


44.806 


48.124 


51.442 


54.759 


* 9 Draconis, (H.) . . 


10 23 31.863 


37.193 


42.520 


47.844 


53.165 


58.483 


63.799 


69.112 


p Leonis .... 


10 25 42.092 


45.259 


48.425 


51.592 


54.759 


57.925 


61.092 


64.258 


7} Argus .... 


10 39 49.818 


52.126 


54.435 


56.744 


59.053 


61.362 


63.671 


65.981 


1 Leonis .... 


10 42 9.535 


12.695 


15.855 


19.015 


22.175 


25.334 


28.494 


31.653 


a Ursse Majoris . . 


10 55 22.207 


25.973 


29.739 


33.503 


37.267 


41.030 


44.792 


48.553 


6 Leonis .... 


11 6 55.538 


58.741 


61.944 


65.147 


68.350 


71.552 


74.755 


77.957 


6 Crateris .... 


11 12 35.602 


38.598 


41.593 


44.588 


47.584 


50.580 


53.576 


56.572 


r Leonis .... 


11 20 59.673 


62.761 


65.849 


68.937 


72.026 


75.114 


78.202 


81.290 


* "K Draconis . . . 


11 23 21.132 


24.780 


28.427 


32.073 


35.717 


39.361 


43.003 


46.644 


v Leonis .... 


11 30 2.248 


5.320 


8.392 


11.464 


14.535 


17.607 


20.679 


23.751 


j3 Leonis .... 


11 42 10.315 


13.381 


16.447 


19.513 


22.579 


25.645 


28.710 


31.776 


7 Ursse Majoris . . 


11 46 42.952 


46.144 


49.335 


52.526 


55.716 


58 906 


62.096 


65.285 


o Virginis .... 


11 58 19.919 


22.979 


26.039 


29.099 


32.158 


35.218 


38.278 


41.337 


* 4 Draconis, (H.) . '. 


12 5 50.271 


53.187 


56.101 


59.015 


61.927 


64.838 


67.747 


70.656 


* (3 Chamseleontis . 


12 10 29.263 


32.593 


35.925 


39.259 


42.595 


45.933 


49.272 


52.613 


rj Virginis .... 


12 13 0.001 


3.069 


6.137 


9.206 


12.274 


15.342 


18.411 


21.479 


a 1 Crucis .... 


12 19 6.384 


9.645 


12.907 


16.170 


19.434 


22.698 


25.963 


29.228 


P Corvi .... 


12 27 18.053 


21.191 


24.328 


27.466 


30.603 


33.741 


36.879 


40.017 


* k Draconis. . . . 


12 27 42.268 


44.873 


47.477 


50 081 


52.684 


55.286 


57.889 


60.490 


*32 Camelop(IL) (foil.) 


12 48 10.292 


10.632 


10.974 


11.318 


11.665 


12.014 


12.365 


12.719 


12 Can. Venaticorum . 


12 49 42.510 


45.328 


48.146 


50.964 


53.782 


56 600 


59.417 


62.235 


Virginis . 


13 2 57.778 


60.878 


63.979 


67.079 


70.180 


73.280 


76.381 


79.481 


a Virginis, (Spica) . 


13 18 5.075 


8.227 


11.379 


14.532 


17.684 


20.837 


23.989 


27.142 


C Virginis . . . . 


13 27 48.970 


52 022 


55.075 


58.127 


61.179 


64.232 


67.284 


70 337 


?/ Ursa; Majoris . 


13 42 13.113 


15.488 


17.862 


20.237 


22.612 


24.986 


27.360 


29.734 


i] Bootis . 


13 48 15.436 


18.295 


21.153 


24.012 


26.871 


29.729 


32.588 


35 440 


/} Centauri. 


13 54 19.460 


23.617 


27.775 


31.934 


36.095 


40.257 


44.419 


48.582 


v a Draconis 


14 44.152 


45.775 


47 397 


49.020 


50.643 


52.265 


53.887 


55.511 



Circumpolar Stars. 



SPECIAL TABLES. 



79 



TABLE XXII. 


—Mean Declinations of Standard Stars, 1865—1872. 




1865. 


1866. 


1867. 


1868. 


1869. 


1870. 


1871. 


1872. 


/ II 

+22 13 40.74 


/ a 
13 34.54 


i n 
13 23.34 


13 22.14 


i a 
13 15.92 


i * 
13 9.71 


13 3.49 


t n 
12 57.26 


+68 44 8.85 


44 2.17 


43 55.49 


43 48.80 


43 42.10 


43 35.39 


43 28.68 


43 21.95 


+32 10 52.39 


10 44.96 


10 37.53 


10 30.09 


10 22.64 


10 15.20 


10 7.74 


10 0.28 


+ 5 34 6.J1 


33 57.21 


33 48.30 


33 39.40 


33 30.48 


33 21.57 


33 12.65 


33 3.72 


+28 20 58.08 


20 49.79 


20 41.50 


20 33.21 


20 24.91 


20 16.60 


20 8.29 


19 59.98 


+27 6 44.34 


6 35.43 


6 26.52 


6 17.61 


6 8.69 


5 59.76 


5 50.84 


5 41.90 


+68 51 59.90 


51 49.91 


51 39.91 


51 29.90 


51 19.89 


51 9.86 


50 59.83 


50 49.79 


—23 55 0.76 


55 10.85 


55 20.94 


55 31.04 


55 41.14 


55 51.25 


56 1.36 


56 11.47 


+ 6 54 43.81 


54 30.93 


54 18.03 


54 5.14 


53 52.24 


53 39.33 


53 26.42 


53 13.51 


+48 34 8.65 


33 54.85 


33 41.03 


33 27.21 


33 13.38 


32 59.55 


32 45.71 


32 31.88 


+67 40 43.47 


40 29.28 


40 15.09 


40 0.90 


39 46.70 


39 32.49 


39 18.28 


39 4.06 


+11 12 34.33 


12 20.64 


12 6.45 


11 52.26 


11 38.06 


11 23.85 


11 9.65 


10 55.44 


—58 42 32.41 


42 47.33 


43 2.26 


43 17.18 


43 32.10 


43 47.03 


44 1.96 


44 16.89- 


+81 55 6.53 


54 51.30 


54 36.07 


54 20.83 


54 5.57 


53 50.31 


53 35.05 


53 19.77 


— 8 4 29.62 


4 44.99 


5 0.37 


5 15.75 


5 31.13 


5 46.51 


6 1.90 


6 17.29 


+70 25 14.33 


24 58.87 


24 43.42 


24 27.95 


24 12.48 


23 57.01 


23 41.53 


23 26.04 


+52 17 25.76 


17 9.63 


16 53.50 


16 37.36 


16 21.22 


16 5.07 


15 48.92 


15 32.77 


+24 23 39.73 


23 23.38 


23 7.04 


22 50.69 


22 34.33 


22 17.98 


22 1.62 


21 45.26 


+26 38 28.53 


38 11.81 


37 55.08 


37 38.35 


37 21 61 


37 4.83 


36 48.14 


36 31.39 


+12 37 33.49 


37 16.09 


36 58.69 


36 41.29 


36 23.88 


36 6.47 


35 49.06 


35 31.65 


+65 46 47.64 


46 29.89 


46 12.14 


45 54.38 


45 36.62 


45 18.86 


45 1.09 


44 43.32 


+20 31 24.29 


31 6.28 


30 48.26 


30 30.25 


30 12.23 


29 54.22 


29 36.20 


29 18.17 


+76 24 23.51 


24 5.17 


23 46.83 


23 28.49 


23 10.15 


22 51.80 


22 33.45 


22 15.09 


+ 9 60 1.30 


59 42.92 


59 24.54 


59 6.15 


58 47.76 


58 29 38 


58 10.99 


57 52.60 


—58 58 28.99 


58 47.74 


59 6.49 


59 25.23 


59 43.98 


60 2.74 


60 21.49 


60 40.25 


+11 15 32.15 


15 13.24 


14 54.33 


14 35.42 


14 16.50 


13 57.58 


13 33.67 


13 19.75 


+62 28 44.16 


28 24.81 


28 5.46 


27 46.12 


27 26.76 


27 7.41 


26 48.06 


26 28.70 


+21 15 46.99 


15 27.35 


15 7.70 


14 48.05 


14 28.40 


14 8.76 


13 49.11 


13 29.45 


—14 2 53.36 


3 12.79 


3 32.22 


3 51.66 


4 11.09 


4 30.53 


4 49.96 


5 9.40 


+ 3 35 58.29 


35 38.52 


35 18.74 


34 58.97 


34 39.19 


34 19.42 


33 59.64 


33 39.86 


+70 4 31.66 


4 11.80 


3 51.94 


3 32.08 


3 12.22 


2 52.36 


2 32.49 


2 12.63 


— 4 42.53 


5 2.37 


5 22.20 


5 42.03 


6 1.86 


6 21.70 


6 41.53 


7 1.36 


+15 19 36.74 


19 16.68 


18 56.57 


18 36.48 


18 16.40 


17 56.31 


17 36.22 


17 16-13 


+54 26 43.19 


26 23.17 


26 3.15 


25 43.13 


25 23.11 


25 3.09 


24 43.07 


24 23.05 


+ 9 28 59.17 


28 39.17 


28 19.16 


27 59.16 


27 39.15 


27 19.15 


26 59.15 


26 39.14 


+78 21 53.22 


21 38.17 


21 18.11 


20 58.06 


20 38.00 


20 17.95 


19 57.89 


19 37.83 


—78 33 45.76 


34 5.80 


34 25.84 


34 45.89 


35 5.93 


35 25.97 


35 46.01 


36 6.05 


+05 1.96 


4 41.93 


4 21.89 


4 1.86 


3 41.82 


3 21.79 


3 1.76 


2 41.72 


—62 20 58.51 


21 18.45 


21 38.38 


21 58.31 


22 18.24 


22 38.17 


22 58.11 


23 18.04 


—22 38 57.61 


39 17.56 


39 37.51 


39 57.46 


40 17.41 


40 37.36 


40 57.30 


41 17.25 


+70 31 56.74 


31 36.81 


31 16.88 


30 56.95 


30 37.02 


30 17.09 


29 57.16 


29 37.23 


+84 8 47.34 


8 27.71 


8 8.08 


7 48.44 


7 28.81 


7 9.17 


6 49.54 


6 29.91 


+39 2 53.51 


2 33.99 


2 14.48 


1 54.96 


1 35.44 


1 15.93 


56.41 


36.90 


— 4 49 2.07 


49 21.39 


49 40.71 


50 0.03 


50 19.35 


50 38.67 


50 57.99 


51 17.30 


—10 27 19.47 


27 33.39 


27 57.31 


28 16.23 


28 35.14 


28 54.05 


29 12.97 


29 31.83 


+ 05 44.49 


5 25.96 


5 7.43 


4 48.90 


4 30.37 


4 11.85 


3 53.33 


3 34.80 


+49 59 17.02 


58 58.91 


58 40.80 


58 22.69 


58 4.58 


57 46.47 


57 23.36 


57 10.26 


+19 4 33.40 


4 15.21 


3 57.02 


3 38.83 


3 20.65 


3 2.46 


2 44.23 


2 26.10 


—59 43 11.23 


43 28.91 


43 46.59 


44 4.26 


44 21.93 


44 39 60 


44 57.27 


45 14.93 


+64 61 17.24 


60 59.87 


60 42.50 


60 25.13 


60 7.77 


59 50.40 


59 33.04 


59 15.68 



80 



SPECIAL TABLES. 



TABLE XXII— Mean Eight Ascensions of Standard Stars, 1865—1872. 



Star's name. 



a Boo: is, (Arcturus) . 

6 Bootis . . . . 

5 Ursse Minoris . ■. 

a 2 Centauri. . . . 

e Booiis . . . . 

a 2 Librae . . . 

ft Ursae Minoris . 

ft Bootis . . . . 

ft Librae . . . 
(i l Bootis . 



1865. 



* -f Ursae Minoris . 
a Coronas Borealis 
a Serpentis 
e Seipeniis 
C, Ursae Minoris . 

e Coronae Borealis . 
6 Scorpii . . . . 
(3 l Scorpii . 

Groombridge 2320 . 
6 Ophiuchi 

t Herculis. 

a Scorpii, {Antares) . 

rj Draconis 

A Draconis 

£ Ophiuchi 

a TrianguliAustralis 

7] Herculis . 

k Ophiuchi 

d Herculis . 

e Ursae Minoris . 



a 1 Herculis . 

44 Ophiuchi 
ft Draconis 
a Ophiuchi 

" 0) Draconis 



ji Herculis. . 
f x Draconis, (pr.) 
y Draconis 
y 2 Sagittarii 
a Octantis . 



h m 
14 9 
14 20 
14 27 
14 30 
14 39 

14 43 
14 51 

14 56 

15 9 
15 19 

15 20 
15 28 
15 37 
15 44 
15 48 

15 52 
15 52 

15 57 

16 5 

16 7 

16 15 
16 21 
16 22 

16 28 
16 29 

16 34 
16 £8 
16 51 
16 56 

16 59 

17 8 
17 18 
17 27 
17 28 
17 37 

17 41 

17 44 
17 53 
17 57 
17 57 



1866. 



30.271 
36.013 
50.913 
28.109 
5.495 



24.870 
7.907 
51.649 
44.737 
23.486 

57.974 
58.361 
37.186 
5.310 
56.829 

0.018 
21.313 

35.450 
57.809 
16.378 

40.934 
8.070 
10.147 
15.670 
43.647 

24 160 
16.119 

16.732 
37.237 

54.822 

29.549 
7.650 
22.969 
40.097 
44.680 

10 564 
20.713 

28.434 

8.201 

12.461 



1867. 



fj, 1 Sagittarii 

6 Ursae Minoris . 

rj Serpentis 

1 Aquilre, (3H. Scuti) 

a Lyrae, {Vega) . 

ft Lyrae .... 

o Sugittarii 

'50 Di aeon is 

f Aquilae . 

d Sugittarii , 



18 5 41.410 
18 13 173.303 
18 14 19 452 

18 27 51.583 
18 32 22.054 



18 45 
18 46 
18 50 

18 59 

19 9 



5.741 

53.002 
42.593 
12.257 
44.071 



33.005 
38.056 
50.694 
32.138 
8.116 

28.176 
7.651 
53.909 
47.956 
25.754 

57.822 
60.900 
40.136 
8.296 
54.529 

2.503 
24.848 
38.926 
57.939 
19.515 

42.732 
11.738 
10,949 
15.526 
46.944 

30.438 
18.173 
19.566 
39.446 
48.416 

32.282 
11.308 
24.320 
42.879 
44.323 

12.908 
19.629 
29 828 
12.053 
121.744 

44.996 

153.925 

22.551 

54.847 
24.086 

7.955 
57.326 
40.698 
15.012 

47.585 



1868. 



35.739 
40.099 
50.476 
36.168 
10.738 

31.482 

7.396 
56.169 
51.176 

28.021 

57.672 
63.439 
43.086 
11.283 
52.232 

4.988 
28.384 
42.402 
58.069 
22.653 

44.530 
15.406 
11.752 
15.381 
50.241 



36.716 
20.227 
22.401 
41.655 
42.014 

35.015 
14967 
25.671 
45.661 
43.967 

15.253 
18.546 
31.221 
15.905 
2'jl .034 

48.582 
134.542 
25.651 
58.112 
26.117 

10.169 
61.050 

38.803 
17.767 
51.098 



1869. 



1870. 



38.473 
42.142 
50.259 
40.198 
13.359 

34.788 
7.143 
58.429 
54.396 
30.289 

57.522 
65.978 
46.036 
14.270 
49.936 

7.473 
31.919 

45.879 
58.200 
25.790 

46.328 
19.074 
12.556 
15.237 
53.538 

42.995 
22.281 
25.236 
43.863 
35.615 

37.748 
18.625 
27.021 
48.443 
43.611 

17.598 
17.462 
32.615 
19757 
340.317 

52.168 
115.154 

28.750 
61.376 

28.149 

12.383 
64 774 

36.907 
20.522 
54.612 



41.207 
44.186 
50.044 
44.229 
15.981 



38.094 
6.890 
60.689 
57.615 
32.557 

57.372 
68.517 
48.986 
17.257 
47.642 

9.958 
35.454 
49.356 

58.331 

28.928 

48.126 
22.742 
13.359 
15.094 
56.836 

49.275 
24.336 
28.070 
46.072 
29.219 

40.481 
22.284 
28.372 
51.225 
43.255 

19 943 

16.379 

34.008 

23.610 

449.580 

55.754 
95.762 
31.850 
64 640 
30.180 

14.598 
68.498 
35.010 
23.276 

58.126 



1871. 



43.942 
46.229 
49.830 

48.260 
18.603 

41.400 
6.639 
62.948 
60.835 
34.825 

57.224 
71.057 
51.936 
20.243 
45.350 

12.443 

38.990 
52.833 
58.463 
32.065 

49.923 
26.410 
14.163 
14.951 
60.133 

55.556 
26.390 
30.904 

48.281 
22.826 

43.214 

25.942 
29.723 
54.007 
42.899 

22.287 
15.296 
35.402 
27.462 

558.811 

59.340 
76.364 
34.949 
67.904 
32.212 

16.812 
72.221 
33.113 
26.031 
61.639 



1872. 



46.676 
48.272 
49.617 
52.293 
21.224 

44 707 
6.388 
65.208 
64.055 
37.092 

57.076 
73.596 
54.886 
23.230 
43.061 

14.928 
42.526 
56.310 
58.595 
35.203 

51.721 

30.079 
14.967 

14.808 
63.430 

61.838 
28.444 
33.739 
50.490 
16.436 

45.947 

29 601 
31.074 
56.789 
42.543 

24.632 
14.213 
36.795 
31.314 

667.996 

62.926 
56.963 
38.048 
71.169 
34.243 

19.026 
75.945 
31.216 

28.786 
C5.153 



49.410 
50.315 
49.405 
56.326 
23.846 

48.013 
6.139 

67.468 
67.275 
39.360 

56.929 
76.135 
57.837 
26.217 
40.773 

17.413 

46.062 
59.787 
58.728 
38.340 

53.519 
33.748 
15.771 
14.666 

66.728 

68121 

30.499 
36573 
52.699 
10.049 

48.681 
33.260 
32.425 
59 571 
42.187 

26.977 
13.131 
38189 
35.167 
777.121 

66.512 
37.558 
41.148 
74.433 

36.275 

21.240 
79.669 
29.318 
31.540 
68.666 



Circumpolar Stars. 



SPECIAL TABLES. 



81 



TABLE XXII. 


-Mean Declinations of Standard Stars, 1865—1872. 








1865. 


1866. 


1867. 


1868. 


1869. 


1870. 


1871. 


1872. 




/ // 

+19 53 13.01 


52 54.11 


52 35.21 


52 16.31 


51 


57.42 


51 


38.53 


51 


19.64 


/ 
51 


0.75 




+52 28.33.51 


28 16.72 


27 59.93 


27 43.14 


27 


26.35 


27 


9.57 


26 


52.78 


26 


36.00 




+76 17 44 86 


17 28.81 


17 12 76 


16 56.72 


16 


40.67 


16 24.63 


16 


8.58 


15 


52.54 




—60 16 24.20 


16 39.27 


16 54.33 


17 9.38 


17 


24 43 


17 


39.48 


17 


54.53 


18 


9 56 




+27 38 42.45 


38 27.07 


38 11.69 


37 56.31 


37 


40.94 


37 


25.56 


37 


10.19 


36 


54.83 




—15 28 42.39 


28 57.62 


29 12.84 


29 28.06 


29 


43.27 


29 


58.48 


30 


13.69 


30 28.90 




+74 42 24 83 


42 10.08 


41 55.33 


41 40.58 


41 


25.84 


41 


11.09 


40 


56.34 


40 


41.59 




+40 55 28 62 


55 14.21 


54 59.80 


54 45.39 


54 


30 99 


54 


16.59 


54 


2.19 


53 


47.79 




— 8 52 55.99 


53 9.56 


53 23.12 


53 36.68 


53 


50.24 


54 


3.79 


54 


17.35 


54 


30.89 




+37 51 8.48 


50 55.65 


50 42.82 


50 30.00 


50 


17.17 


50 


4.35 


49 


51.53 


49 


38.72 




+72 18 52.12 


18 39.32 


18 26.53 


18 13.73 


18 


0.93 


17 


48.13 


17 


35.33 


17 


22.53 




+27 10 16.09 


10 3.74 


9 51.39 


9 39.04 


9 


26.70 


9 


14.35 


9 


2.02 


8 


49.68 




+ 6 51 10.10 


50 58.49 


50 46.88 


50 35.28 


50 23.68 


50 


12.08 


50 


0.49 


49 


48.90 




+ 4 53 11.38 


53 0.26 


52 49.13 


52 38.02 


52 


26.90 


52 


15 79 


52 


4.68 


51 


53.58 




+78 12 29.58 


12 18.72 


12 7.86 


11 57.00 


11 


46.13 


11 


35.26 


11 


24.39 


11 


13.52 




+27 16 15.79 


16 5.13 


15 54.48 


15 43.82 


15 


33.17 


15 


22.53 


15 


11.88 


15 


1.24 




—22 14 2 90 


14 13.50 


14 24.09 


14 34.68 


14 


45.27 


14 


55.85 


15 


6.42 


15 


16.99 




—19 25 58.84 


26 9.07 


26 19.29 


26 29.51 


26 


39.72 


26 


49.93 


27 


0.13 


27 


10.33 




+68 9 57.47 


9 47.96 


9 38.46 


9 28.96 


9 


19.46 


9 


9.96 


9 


46 


8 


50.95 




— 3 20 37.77 


20 47.37 


20 56.97 


21 6.55 


21 


16.14 


21 


25.72 


21 


35.30 


21 


44.87 




+46 38 10.92 


38 2.13 


37 53.34 


37 44.56 


37 


35.78 


37 


27.00 


37 


18.22 


37 


9.45 




—26 7 44.68 


7 53.09 


8 1.49 


8 9.89 


8 


18.28 


8 


26.67 


8 


35.05 


8 43.43 




+61 49 13.40 


49 5.17 


48 56.93 


48 48.70 


48 


40.47 


48 


32.24 


48 24.01 


48 


15.78 




+69 3 36 50 


3 28.72 


3 20.93 


3 13.15 


3 


5.37 


2 


57.59 


2 


49.81 


2 


42.03 




—10 17 25.63 


17 33.28 


17 40 93 


17 48.56 


17 


56.20 


18 


3.83 


18 


11.45 


18 


19.07 




-68 46 27.19 


46 34.58 


46 41.96 


46 49.34 


46 


56.71 


47 


4.07 


47 


11.42 


47 


18.76 




+39 10 51 86 


10 44.80 


10 37.74 


10 30.68 


10 


23.62 


10 


16 57 


10 


9.52 


10 


2 47 




+ 9 35 15.71 


35 9.81 


35 3.91 


34 58.02 


34 


52.13 


34 


46.25 


34 


40.37 


34 


34.49 




+33 45 57.53 


45 52.09 


45 46.65 


45 41.21 


45 


35.78 


45 


30.35 


45 


24.92 


45 


19.50 




+82 15 15.18 


15 9.98 


15 4.77 


14 59.55 


14 


54.32 


14 


49.09 


14 


43.84 


14 


38.58 




+14 32 48.85 


32 44.43 


32 40.02 


32 35.60 


32 


31.19 


32 26.79 


32 22 39 


32 


17.99 




—24 2 49.78 


2 53.51 


2 57.23 


3 0.95 


3 


4.66 


3 


8.37 


3 


12.07 


3 


15 76 




+52 24 8 71 


24 5.86 


24 3.02 


24 0.18 


23 


57.33 


23 54.49 


23 51 66 


23 


48.82 




+12 39 39 8 J 


39 36.87 


39 33.93 


39 30.99 


39 28.06 


39 


25.13 


39 


22.20 


39 


19 28 




+68 49 10.50 


49 8.85 


49 7.20 


49 5.54 


49 


3.89 


49 


2.23 


49 


0.58 


48 


58.92 




+27 48 7.19 


48 4.82 


48 2.46 


48 0.10 


47 


57.74 


47 


55 39 


47 


53.04 


47 


50.69 




+72 12 51.18 


12 49.55 


12 47.92 


12 46.28 


12 


4465 


12 


43.01 


12 


41.37 


12 


39.73 




+51 30 21.42 


30 20.81 


30 20.20 


30 19.60 


30 


19 00 


30 


18.40 


30 


17.81 


30 


17.21 




- 30 25 19.28 


25 19.75 


25 20.21 


25 20.67 


25 


21.12 


25 


21.57 


25 


22.00 


25 


22.44 




—69 16 43.63 


16 43.80 


16 43.80 


16 43.65 


16 


43.34 


16 42.86 


16 


42.23 


16 


41.44 




—21 5 26 25 


5 25.74 


5 25.24 


5 24.72 


5 24.20 


5 


23.68 


5 


23 15 


5 


22 62 




+86 36 14.49 


36 15.91 


36 17.30 


36 18.66 


36 


20.00 


36 21.30 


36 


22.58 


36 


23.83 




1 — 2f5 5063 


55 50.04 


55 49.45 


55 48.86 


55 


48.26 


55 


47 66 


55 


47.05 


55 


46.44 




| — 8 20 6.74 


20 4.62 


20 2.49 


20 0.35 


19 


58.21 


19 


56.07 


19 53 92 


19 


51.77 




i +38 39 35.42 


39 38.53 


39 41.64 


39 44.76 


39 


47.87 


39 


51.00 


39 


54.12 


39 


57.25 




+33 12 28.51 


12 32.42 


12 36.33 


12 40.25 


12 


44.16 


12 


48.09 


12 


52.01 


12 


55.94 




—26 27 38.27 


27 34.25 


27 30 23 


27 26.20 


27 22.17 


27 


18.13 


27 


14.09 


27 


10.05 




! +75 16 22.03 


16 26.49 


16 30.94 


16 35.39 


16 


39.84 


16 44.29 


16 


48 74 


16 


53.18 




+13 39 55.56 


40 0.60 


40 5.65 


40 10.70 


40 


1575 


40 


20.80 


40 


25.86 


40 


30 92 




—19 11 21.33 

1 ~ 


11 15.28 


11 9.22 


11 3.16 


10 


57.09 


10 


51.02 


10 


44.95 


10 


38.87 





82 



SPECIAL TABLES. 



TABLE XXII 


.—Mean Right Ascensions of Standard Stars, 1865- 


1872. 




Star's name. 


1865. 


1866. 


1867. 


1868. 


1869. 


1870. 


1871. 


1872. 




h m s 


B 


s 


s 


s 


s 


s 


s 


* 6 Draconis . 


19 12 30.933 


30.968 


31.003 


31.037 


31.072 


31.106 


31.140 


31.173 


* r Draconis . 


19 18 7.772 


6.669 


5.565 


4.461 


3.356 


2.251 


1.145 


0.039 


d A qui) re . . . , 


19 18 41.437 


44.462 


47.486 


50.511 


53.535 


56.560 


59.584 


62.609 


k Aquilre .... 


19 29 37.619 


40.850 


44.080 


47.310 


50.541 


53.772 


57.002 


60.232 


7 Aquilre .... 


19 39 50.469 


53.322 


56.175 


59.028 


61.880 


64.733 


67.586 


70.438 


a Aquilre, (Altair) . 


19 44 11.745 


14.673 


17.602 


20.530 


23.459 


26.387 


29.315 


32244 


* e Draconis . 


19 48 36 806 


36.637 


36.468 


36.298 


36.128 


35.957 


35.786 


35.615 


(3 Aquilre .... 


19 48 40.881 


43.828 


46.775 


49.722 


52.669 


55.616 


58.563 


61.510 


r Aquilre .... 


19 57 32 666 


35.599 


38.533 


41.466 


44.400 


47.333 


50.266 


53.200 


* 1 Uisre Minoris . . 


19 52 429.351 


371.537 


313.423 


255.009 


196.295 


137.283 


77.971 


18.360 


a 2 Capricorni . 


20 10 33.702 


37.036 


40.369 


43.703 


47.037 


50.370 


53.703 


57.036 


* k Cephei .... 


20 13 22 544 


20.660 


18.775 


16.888 


14.999 


13.109 


11.217 


9.324 


a Pavonis 


20 14 57.200 


61.998 


66.795 


71.592 


76.389 


61.185 


85.980 


90.775 


7t Capricorni . 


20 19 35.448 


38.890 


42.332 


45.776 


49.217 


52.658 


56.100 


59.541 


e Delphini . . . 


20 26 45.761 


48.627 


51.493 


54.359 


57.225 


60.091 


62.957 


65.823 


* Groombridge3241. 


20 30 33.958 


33.754 


33.550 


33.345 


33.139 


32.932 


32.725 


32.517 


a Cygni .... 


20 36 49.797 


51.841 


53.885 


55.928 


57.972 


60.016 


62.060 


64.104 


fi Aquarii. 


20 45 22.172 


25.413 


28.653 


31.894 


35.134 


38.375 


41.615 


44.855 


v Cygni .... 


20 52 8.444 


10.678 


12.911 


15.145 


17.378 


19.612 


21 846 


24.080 


la Year Cat. 1879. 


20 53 36.449 


33.974 


31.496 


29.015 


26.531 


24.044 


21.553 


19.060 


61 Cygni, (pr.) . . 


21 50.865 


53.552 


56.238 


58.924 


61.611 


64.298 


66.984 


69.671 


£ Cygni .... 


21 7 11.477 


14.027 


16.577 


19.127 


21.677 


24.227 


26.777 


29.327 


a Cephei .... 


21 15 21.327 


22.765 


24.203 


25.641 


27.078 


88.5.16 


29.953 


31391 


1 Pegasi .... 


21 15 50.669 


53.443 


56.217 


58.991 


61.765 


64.539 


67.313 


70.087 


j3 Aquarii .... 


21 24 27.010 


30.175 


33.340 


36.504 


39.669 


42.833 


45.997 


49.161 


* (3 Cephei .... 


21 26 54.351 


55.153 


55.955 


56.757 


57.558 


58 359 


59.160 


59.960 


£ Aquarii . . 


21 30 33.773 


36.972 


40.171 


43.370 


46.568 


49.766 


52.965 


56 163 


e Pegasi .... 


21 37 33.340 


36.288 


39.236 


42.184 


45.132 


48.080 


51.028 


53 976 


* 11 Cephei .... 


21 39 56.006 


56.915 


57.824 


58.732 


59 640. 


60.548 


61.455 


62 362 


\i Capricorni . 


21 45 55.977 


59.257 


62.5b7 


65.817 


69 097 


72 377 


75656 


78.936 


* 79 Draconis . 


21 51 11.268 


12.008 


12.748 


13.487 


14 226 


14.965 


15.703 


16 440 


a Aquarii. 


21 58 50.942 


54 026 


57.110 


60.194 


63.278 


66.36] 


69.445 


72.529 


a Gruis .... 


21 59 42.666 


46.483 


50.299 


54.115 


57.930 


61.745 


65.559 


69.373 


Aquarii. 


22 9 42.484 


45.655 


48 826 


51.997 


55.167 


58 338 


61.509 


64 679 


tt Aquarii .... 


22 18 22.916 


25.982 


29.047 


32.112 


35.178 


38.244 


41.309 


44.374 


7) Aquarii .... 


22 28 25.100 


28.184 


31.268 


34.352 


37.436 


40.519 


43.603 


46 687 


*226 Cephei, (B ) . . 


22 29 53 502 


54.588 


55.673 


56.758 


57.842 


58 926 


60.010 


61 093 


C Pegasi .... 


22 34 43.731 


46.719 


49.707 


52.696 


55.684 


58.672 


61.661 


64.649 


* i Cephei .... 


22 44 52.823 


54.939 


57.056 


59.173 


61.290 


63 407 


65.5*5 


67.643 


i "k Aquarii. . . 


22 45 34.162 


37.294 


40.426 


43.557 


46.689 


49.820 


52.952 


•56.083 


i 

aPis.Aus (Fomclhau't) 


22 50 11.079 


14.410 


17.740 


21.070 


24.400 


27.730 


31.060 


34.389 


a Pegaei, {Mar Icab) . 


22 58 2.259 


5.243 


8 227 


11.212 


14.196 


17.180 


20.165 


23 149 


* o Cephei .... 


23 13 5.689 


8.1*3 


10.558 


12.993 


15.428 


17.864 


20.300 


22.737 


6 Piscium 


23 21 7.214 


10.455 


13.295 


16.336 


19.376 


22.417 


25.458 


28 499 


i Piscium . . . 


23 33 0.482 


3.567 


6.051 


9.736 


12.820 


15.905 


18.989 


22 074 


* 7 Cephei .... 


23 33 49.800 


52.198 


54 596 


56.996 


59.396 


61.797 


64.198 


66.600 


* Groombriclge4163. 


23 48 17.849 


20.693 


23 538 


26.383 


29 230 


32.077 


31.925 


37 774 


u Hsciimi 


23 52 22.816 


25.894 


28.972 


32.050 


35.128 


38.206 


41.284 


44.362 
1 



Circuxnpolar Stars. 



SPECIAL TABLES, 



83 



TABLE XXII.— Mean Declinations of Standard Stars, 1865—1872. 



1865. 



4-67 25 26.28 
+73 6 13.41 
+ 2 50 54.30 
— 7 19 28.03 
+10 17 12.17 



+ 8 30 51.39 
+69 55 25.50 
+ 64 19.43 
+ 6 53 58.11 
+88 54 15.02 

—12 57 38.22 
+77 18 11.04 
—57 9 49.21 
—18 39 5.07 
+10 50 47.81 

+72 4 27.07 
+44 47 57.33 
— 9 29 14.54 
+40 38 56.72 
+80 2 28.34 



+38 5 14.35 
+29 40 29.24 
+62 50.48 
+ 19 13 43.72 
— 69 47.01 



+69 58 5.53 
— 8 27 27. £5 
+ 9 15 27.78 
+70 41 24.03 
—14 11 6.78 



+73 3 49.58 

— 58 27.24 
—47 36 45.89 

— 8 27 14.83 
+ 41 36.83 

— 48 43.85 
+75 31 50.72 
+10 7 39.99 
+65 29 26.82 

— 8 17 48.78 



—30 20 12.05 
+14 28 47.18 
+67 22 22.44 
+ 5 38 17.23 
+ 4 53 42.04 

+76 52 44.41 
+73 39 32.28 
+ 66 57.92 



1866. 



25 32.59 
6 20.21 
51 1.15 
19 20.37 
17 20.64 



31 0.58 
55 34.65 
4 28.12 
54 7.97 
54 24.95 



57 27.39 
18 22.06 
9 38.10 
38 53.63 
50 59.77 



4 39.30 
48 10.01 
29 1.31 
39 10.42 

2 52.07 



5 31.83 

40 43.80 
1 5.58 

13 58.93 
9 31.39 



58 21.24 
27 11.92 
15 44.10 
41 40.53 
10 50.03 



4 6.55 
58 9.92 

36 28.72 
26 57.06 
41 54.95 



48 25.43 
32 9.24 

7 58.68 
29 45.66 
17 29.72 

19 53.07 
29 6.49 
22 42.06 

38 36.97 
54 1.53 

53 4.48 

39 52.28 
7 17.86 



1867. 



25 38.90 
6 27.01 
51 8.00 
19 12.69 
17 29.11 



31 9.78 
55 43.80 
4 36.81 
54 17.84 
54 34.80 



57 16.56 
18 33.08 
9 26.99 
38 42.18 
51 11.74 



4 51.53 

48 22.68 

28 48.07 

39 24.12 

3 5.80 



5 49.31 
40 58.37 

1 20.68 
14 14.15 

9 15.77 



1868. 



1869. 



58 36.95 


26 56.00 


16 0.42 


41 57.03 


10 33.27 


4 23.51 


57 52.60 


36 11.54 


26 39.29 


42 13.07 


48 7.00 


32 27.75 


8 17.37 


30 4.51 


17 10.65 


19 34.09 


29 25.80 


23 1.68 


38 56.71 


54 21.01 


53 24.55 


40 12.28 


7 37.80 



25 45.21 
6 33.81 
51 14.85 
19 5 02 
17 37.59 



31 18.98 
55 52-95 
4 45.51 
54 27.71 
54 44.58 



57 5.71 
18 44.10 
9 15.87 
38 30.72 
51 23.71 



5 3.75 

48 35.36 

28 34.84 

39 37.83 

3 19.52 



6 6.79 
41 12.94 

1 35.78 
14 29.37 

9 0.14 



58 52.65 
26 40.06 
16 16.73 
42 13.53 
10 16.51 



4 40.47 
57 35.29 
35 54.36 
26 21.52 
42 31.19 



47 48.57 
32 46.27 
8 36.07 
30 23.36 
16 51.59 



19 15.11 
29 45.11 
23 21.30 

39 16.45 
54 40.49 

53 44.63 

40 32.28 
7 57.74 



25 51.52 
6 4061 
51 21.71 
18 57.34 
17 46.08 



31 28.18 
56 2.09 
4 54.21 
54 37.58 
54 54.29 



56 54.87 
18 55.11 
9 4.74 
38 19.26 
51 35.68 



5 15.98 
48 48.04 
28 21.60 
39 51.53 

3 33.24 



6 24.28 
41 27.51 

1 50.89 
14 44.60 

8 44.51 



59 8.36 
26 24.13 
16 33.06 
42 30.03 
9 59.75 



4 57.43 
57 17.96 
35 37.17 
26 3.75 
42 49.32 



47 30.14 
33 4.79 
8 54.76 
30 42.21 
16 32.53 



18 56.13 
30 4.42 
23 40.92 

39 36.20 
54 59.97 

54 4.70 

40 52.28 
8 17.68 



1870. 



25 57.82 
6 47.40 
51 28.58 
18 49.65 
17 54.56 



31 37.38 

56 11.24 

5 2.91 

54 47.46 

55 3.92 



56 44.02 
19 6.13 

8 53.60 
38 7.80 
51 47.66 



5 28.20 
49 0.73 
28 8.35 
40 5.24 

3 46.96 



6 41.77 

41 42.08 
2 6.00 

14 59.82 
8 28.88 



59 24.07 
26 8.19 
16 49.38 
42 46.53 
9 42.99 



5 14.39 
57 0.64 
35 19.98 
25 45.97 
43 7.45 



.47 11.71 
33 23.30 
9 13.46 
31 1.06 
16 13.46 



18 37.15 
30 23.73 
24 0.54 
39 55.94 
55 19.45 

54 24.77 
41 12.28 

8 37.63 



1871. 



1872. 



26 4.13 

6 54.20 
51 35.45 
18 41.96 
18 3.05 



31 46.59 

56 20.39 

5 11.62 

54 57.34 

55 13.47 



56 33.17 
19 17.13 
8 42.46 
37 56.34 
51 59.64 



5 40.43 
49 13.41 
27 55.11 

40 18.96 
4 0.68 



6 59.26 
41 56.66 

2 21.10 
15 15.05 

8 13.25 



59 39.78 
25 52.26 
17 5.70 
43 3.03 
9 26.22 



5 31.36 
56 43.32 
35 2.79 

25 28.20 
43 25.57 



46 53.27 
33 41.82 
9 32.16 
31 19.91 
15 54.40 



18 18.17 
30 43.04 
24 20.16 

40 15.69 
55 38.94 

54 44.85 

41 32.28 
8 57.57 



26 10 44 
7 0»99 
51 42.32 
18 34.27 
18 11.55 



31 55.80 
56 29.54 
5 20.33 
55 7.22 
55 22.94 



56 22.31 

19 28.14 

8 31.31 

37 44.87 
52 11.63 



5 52.65 
49 26.10 
27 41.86 
40 32.67 

4 14.39 



7 16.76 
42 11.24 

2 36.21 
15 30.28 

7 57.61 



59 55.49 
25 36.31 
17 22.03 
43 19.53 
9 9.45 



5 48.32 
56 25.99 
34 45.59 
25 10.42 
43 43.70 



46 34.83 
34 0.34 
9 50.86 
31 38.76 
15 35.33 



17 59.18 
31 2.35 
24 39.78 

40 35.43 
55 58.42 

55 4.92 

41 52.28 
9 17.51 



84 



SPECIAL TABLES. 



TABLE XXIII.— Mean Right Ascensions of Standard Stars, 1873—1880. 



Star's name. 



1873. 



1874. 



1875. 



1876. 



1877. 



1878. 



1879. 



a Andromedse 
y. Pegasi . 
\3 Hydri . 
a Cassiopese 
j3 Ceti . 



•21 Cassiopese . . 
| e Piscium . 
j* a Ursse Min. (Polaris) 
1 0i Ceti .... 
"38 Cassiopese . 



?/ Piscium . . .. 
a ~Eri&iim,(Achcrnar). 
o Piscium . 
(3 Arietis . . . . 

"50 Cassiopese , . 



a Arietis . 
£ l Ceti .... 
* i Cassiopese . 
y Ceti .... 
a Ceti .... 

*48 Cephei, (H) . . 
C, Arietis . 
a Persei 
6 Persei 
t? Tauri 

f Persei . . . 
y 1 Eridani . . . 
y Tauri . . . 
e Tauri 
a TaxLx\,(Aldcbaran) 

i* 9 Camelopardalis . 

j i Aurigse . 

! 11 Ononis . 

a Aurigse, (Capclla) 
(3 Orionis, (Riqel). 



(3 Tauri . . . 
Groombridge 966 
(5 Orionis . , 
a Leporis . 
e Orionis . 



a Columbse 
a Orionis . 
f 22 Camelopardalis,(H ) 
fi Geminorum . 
a Argus, (Canopus) . 



y Geminorum . . . 
a Canis Maj. (Sirius). 
f 51 Cephei,(H.). . . 
e Canis Majoris . 
6 Canis Majoris . 



h m s 

1 49.557 

6 41.866 

19 2.384 

33 18.774 

37 12.781 

37 17.861 

56 21.205 

1 12 18.728 
1 17 40.537 
1 21 48.701 



1 24 41.323 
1 32 58 728 
1 38 41.398 
1 47 37.636 

1 52 37.906 

2 1.055 
2 6 16.171 
2 18 37.671 
2 36 43.292 
2 55 38.524 



4 17.259 

7 36.269 

15 15.869 

33 53.290 

39 56.255 



3 46 9.140 

3 52 6.270 

4 12 34.C54 
4 21 12.141 

4 28 38.099 

4 41 26.184 
4 48 43 508 

4 57 18.848 

5 7 18.598 
5 8 26.098 

5 18 15.876 
5 22 45.643 
5 25 31.166 

5 27 7.821 
5 29 46.180 



5 35 3.097 

5 48 17.809 

6 4 50.696 
6 15 16.661 
6 21 8.071 

6 30 22.523 

6 39 :*3.064 

6 40 13.916 

6 53 38.161 

7 3 13.713 



52.645 
44.949 
5.638 
22.140 
15.794 

21.693 
24.314 
39.372 
43.535 
53.056 

44.523 
60.963 

44.558 
40.937 

42.888 

4.424 
19.341 
42.512 
46.395 
41.653 

24.610 

39.706 
20.118 
57 530 
59.809 

12.897 
9.067 
37.462 
15.637 
41.535 

32.093 
47.405 
22.273 
23.020 
28.979 

19.664 
53.632 
34.230 
10.467 
49.222 

5.268 
21.056 
57.314 
20.293 

9.401 

25.992 
35.709 
44.183 
40.519 
16.153 



55.734 

48.032 

8.890 

25.506 

18.807 

25.527 
27.423 
60.165 
46.533 
57.413 

47.722 
63.196 
47.721 

44.238 

47.871 

7.793 
22.511 
47.354 

49.498 

44.782 

31.964 
43.144 
24.368 
61.771 
63.364 

16.654 
11.863 
40.870 
19.132 
44.971 

38.012 
51.303 
25.69S 
27.443 

31.860 

23 452 
61.622 
37.294 
13.114 

52.264 

7.440 
24.303 
63.933 
23.926 
10.731 

29.460 
38.: 54 
74.430 

42.878 
18.593 



58.822 
51.115 
12.141 

28.872 
21.820 

29.361 
30.532 
81.109 
49.531 
61.770 

50.922 
65.431 
50.883 
47.539 
52.856 

11.161 

25.680 
52 198 
52.600 
47.911 

39.321 

46.581 
28.618 
66.012 
66.918 

20.411 
14.660 

44.277 
22.628 
48.407 

43.928 
55.200 
29.123 
31.866 
34.741 

27.240 
69.612 
40.358 
15.760 
55.306 

9.613 

27.550 
70.552 
27.559 
12.062 

32.929 
40.ii99 
104.658 
45.236 
21.032 



61.9ll 

54.198 
15.391 
32.239 
24.834 

33.198 
33.641 

102.205 
52.529 
66.129 

54.121 
67.665 
54.045 
50 841 

57.842 

14.530 
28.850 
57.043 
55.703 
51.040 

46.682 
50.019 
32.868 
70.253 
70.473 

24.168 
17.457 
47.685 
26.124 
51.843 

49.844 
59.097 
32.549 
36.289 
37.622 

31.028 
77.603 
43.422 

18.407 
53.348 

11.784 

30.797 
77.170 
31.192 
13.392 

38.393 
43.644 
134.861 
47.595 
23.472 



65.000 
57.282 
18.638 
35.607 

27.847 

37.035 

36.751 

123.455 

55.526 
70.490 

57.321 

69.899 
57.208 
54.142 
62.831 

17.899 
32.020 
61.890 

58.806 
54.169 

54.047 
53.457 
37.118 

74.495 

74.028 

27.925 
20.253 
51.093 
29.620 
55.280 

55.761 
62.995 
35.974 
40.712 
40.503 

34.816 

85.595 
48.488 
21.053 
61.390 

13.957 
34.C44 

'83.789 
34.825 
14.722 

39.867 
26.289 
165.044 
49 054 
25.912 



68.089 
60.365 
21.885 
38.975 
30.860 

40.876 

39.860 

144.861 

58.524 
74.852 

60.521 
72.133 

60.370 
57.444 

67.822 

21.269 
35.190 
66.738 
61.909 
57.299 

61.415 

56.895 
41.369 

78.737 

77.583 

31.683 
23.050 
54.501 
33.116 

58.716 

61.678 

63.892 
39.400 
45.136 
43.384 

38.604 
93.587 
49.551 
23.700 
64.433 

16.129 
37.291 
90.407 
33.457 
16.052 

43 336 
48 935 
195.205 
52.313 
23.351 



Circumpolar Stars. 



SPECIAL TABLES. 



8.] 



TABLE XXIII. 


— Mea^i Declinations of Standard Stars, 18 


<3-1880. 


I 


1373. 


1874, 


1875. 


1376. 


1877. 


1873. 


1 
1879. 


1880. 


O 1 II 

+23 23 21.87 


23 41.78 


24 1.68 


24 21.59 


/ // 
24 41.49 


/ // 
25 1.40 


25 21.30 


25 41.20 ! 


4- 14 28 39.46 


28 59.51 


29 19.55 


29 39.60 


29 59.64 


30 19.69 


30 39.74 


30 59.78 


—77 53 13.69 


57 53.45 


57 33.20 


57 12.96 


56 52.72 


56 32.47 


56 12 23 


55 21.98 


+55 50 25.45 


50 45.25 


51 5.05 


51 24.85 


51 44.65 


52 4 45 


52 24.24 


52 41.04 


— 18 41 2.22 


40 42.39 


40 22.56 


40 2.74 


39 42.91 


39 23.08 


39 3.28 


38 43.43 


+74 17 34.31 


17 54.04 


18 13.76 


18 33.49 


18 53.22 


19 12.94 


19 32.67 


19 52.39 


+ 7 12 21.52 


12 40.99 


13 0.47 


13 19.94 


13 39.41 


13 58.89 


14 18.36 


14 37.82 : 


-\-88 37 55.70 


38 14.76 


38 33.81 


38 52.85 


39 11.83 


39 30.90 


39 49.92 


40 8.92 


— 8 50 20.40 


50 1.68 


49 42.96 


49 24.25 


49 5.53 


48 46.82 


48 23.11 


48 9.40 


+69 36 35.47 


36 54.18 


37 12.89 


37 31.59 


37 50.30 


38 9.00 


33 27.69 


33 46.39 


+14 41 26 36 


41 45.08 


42 3.80 


42 22.51 


42 41.23 


42 59.94 


43" 18.65 


43 37.36 


—57 52 56.25 


52 37.83 


52 19.42 


52 1.01 


51 42.60 


51 24.19 


51 5.79 


50 47.39 


+ 8 31 3.c6 


31 22.12 


31 40.38 


31 58.64 


32 16.89 


32 35.15 


32 53.40 


33 11.65 I 


+20 11 11.44 


11 29.23 


11 47.02 


12 4.80 


12 22.58 


12 40.36 


12 53,14 


13 15.91 ! 


+71 48 17.42 


48 35.10 


48 52.78 


49 10.45 


49 28.12 


49 45.78 


50 3.44 


50 21.10 i 


+22 51 39.53 


51 56.76 


52 13.99 


52 31.22 


52 48.44 


53 5.66 


53 22.88 


53 40.10 


+ 8 14 59.60 


15 16.67 


15 33.75 


15 50.82 


16 7.88 


16 24.95 


16 42.01 


16 59.07 


+66 49 45.25 


50 1.72 


50 18.19 


50 34.66 


50 51.12 


51 7.58 


51 24.04 


51 40.49 ! 


+ 2 41 57.94 


42 13.33 


42 28.72 


42 44.10 


42 59.48 


43 14.86 


43 30.24 


43 45.61 


+ 3 35 24.22 


35 38.58 


35 52.93 


36 7.28 


36 21.63 


36 35.98 


36 50.32 


37 4.65 


+77 15 50.53 


16 4.37 


16 18.21 


16 32.04 


16 45.86 


16 59.67 


17 13.48 


17 27.28 


+20 34 20.89 


34 34.53 


34 48.17 


35 1.81 


35 15.44 


35 29.07 


35 42.70 


35 56.32 


+49 24 24.63 


24 37.79 


24 50.94 


25 4.10 


25 17.24 


25 30.38 


25 43.52 


25 56.65 


+ 17 22 44 24 


22 56.13 


23 8.01 


23 19.88 


23 31.75 


23 43.61 


23 55.47 


24 7.33 j 


+23 42 38.03 


42 49.48 


43 0.94 


43 12.39 


43 23.83 


43 35.27 


43 46.71 


43 58.14 


+31 30 15.79 


30 26.82 


30 37.85 


30 48.87 


30 59.89 


31 10.90 


31 21.91 


31 32.91 


, —13 52 15.72 


52 5.19 


51 54.66 


51 44.14 


51 33.62 


51 23.10 


51 12.59 


51 2.08 ' 


. +15 19 9.01 


19 18.06 


19 27.11 


19 36.16 


19 45.20 


19 54.24 


20 3.27 


20 12.30 j 


k +18 53 48.96 


53 57.33 


54 5.69 


54 14.05 


54 22.41 


54 30.76 


54 39.11 


54 47.45 ! 


] +16 15 7.73 


15 15.34 


15 22.95 


15 30.56 


15 38.16 


15 45.76 


15 53.35 


16 0.94 ! 

! 


+66 7 23.81 


7 30.56 


7 37.30 


7 44.03 


7 50.75 


7 57.46 


8 4.16 


8 10.80 


- +32 57 45.85 


57 51.98 


57 58.09 


53 4.20 


58 10.31 


58 16.41 


53 22.50 


58 28.59 


g +15 13 30.97 


13 36.37 


13 41.77 


13 47.16 


13 52.55 


13 57.94 


14 3.32 


14 8.69 


+45 51 57.48 


52 1.62 


52 5.76 


52 9.89 


52 14.01 


52 18.13 


52 22.24 


52 26.35 


' — 8 21 0.46 


20 55.99 


20 51.52 


20 47.06 


20 42.60 


20 38.14 


20 33.69 


20 29.24 


J +28 29 51.85 


29 55.30 


29 58.76 


30 2.20 


30 5.64 


30 9.07 


30 12.50 


30 15.93 ; 


J +74 57 15.12 


57 18.36 


57 21.58 


57 24.80 


57 28.00 


57 31.19 


57 34.37 


57 37.54 


— 23 42.63 


23 39.64 


23 36.65 


23 33.66 


23 30.68 


23 27.71 


23 24.73 


23 21.77 


\ —17 54 52.93 


54 50.04 


54 47.16 


54 44.27 


54 41.40 


54 38.52 


54 35 65 


54 32.78 


1 — 1 17 5.75 


17 3.11 


17 0.48 


16 57.85 


16 55.22 


16 52.60 


16 49.98 


16 47.37 


—34 8 34.50 


8 32.35 


8 30.20 


8 28 05 


8 25.90 


8 23.76 


8 21.62 


8 19.48 


1 + 7 22 52.87 


22 53.91 


22 54.94 


22 55.97 


22 57.00 


22 58.02 


22 59.03 


23 0.04 


J +69 21 36.67 


21 36.13 


21 35.58 


21 35.03 


21 34.46 


21 33.88 


21 33 30 


21 32 70 


i +22 34 £5.69 
' —52 37 37.57 


34 34.25 


34 32.79 


34 31.34 


34 29 83 


34 28.41 


34 26.94 


34 25.46 ; 


37 39.42 


37 41.27 


37 43.12 


37 44.98 


37 46.84 


37 48.70 


37 50.56 


\ +16 30 20.43 


30 17.75 


30 15.07 


30 12.3S 


30 9.C8 


30 6. 93 


30 4.28 


30 1.57 


\ —16 32 36.32 


32 40.97 


32 45.63 


32 50.29 


32 54 96 


32 59.63 


33 4.30 


33 8.98 


f +87 14 1161 


14 8.04 


14 4.43 


14 0.77 


13 57.07 


13 53.33 


13 49.54 


13 45.72 


—28 48 2.35 


48 6.99 


! 48 11.65 


48 16.30 


48 20.96 


48 25.62 


48 30.29 


48 34.96 ; 


( —26 11 33.38 
1- 


11 38.80 


j 11 44.23 


11 49.67 


11 55.11 


12 0.55 


12 5.99 


12 11.44 : 



86 



SPECIAL TABLES. 



TABLE XXIII.— Mean Right Ascensions of Standard Stars, 1873- 


-1880. 




Star's name. 


1873. 


1874. 


1875. 


1876. 


1877. 


1878. 


1879. 


1880. 




h m s 


. s 


s 


s 


s 


s 


s 


s 


d Geminorum . 


7 12 32.253 


35.844 


39.435 


43.025 


46.616 


50.206 


53.797 


57.387 


* Piazzi, vii. C7 . 


7 17 38.799 


45.111 


51.422 


57.732 


64.042 


70.351 


76.658 


82.965 


a Geminor. (Castor) . 


7 26 29.368 


33.207 


37.046 


40.885 


44.724 


48.562 


52.401 


56.239 


a Can. Min. (Procyon) 


7 32 39.267 


42.413 


45.560 


48.705 


51.851 


54.997 


58.143 


61.289 


(3 Geminor. (Pollux) . 


7 37 32.550 


36.231 


39.913 


43.594 


47.276 


50.957 


54.638 


58.319 


(j> Geminorum . 


7 45 43.408 


47.092 


50.776 


54.460 


58.144 


61.827 


65.511 


69.194 


* 3 Ursse Majoris,(H.). 


8 8.838 


14.906 


20.973 


27.039 


33.103 


39.166 


45.228 


51.289 


15 Argus, (i) . , 


8 2 8 213 


10.769 


13.325 


15.882 


18.438 


20.995 


23.551 


26.107 


e Hydrse .... 


8 40 3.015 


6.199 


9.383 


12.567 


15.751 


18.935 


22.118 


25.302 


i Ursse Majoris . 


8 50 30.149 


34.289 


38.428 


42.567 


46.706 


50.844 


54.982 


59.119 


* a 2 Ursse Majoris ". 


8 59 11.300 


16.676 


22.051 


27.425 


32.797 


38.168 


43.537 


48.905 


k Cancri .... 


9 52.001 


55.256 


58.511 


61.766 


65.021 


68.276 


71.531 


74.785 


i Argus .... 


9 13 41.352 


42.954 


44.555 


46.157 


47.758 


49.360 


50.961 


52.562 


* 1 Draconis, (H.) . . 


9 18 47.719 


56.844 


65.961 


75.070 


84.171 


93.264 


102.350 


111.427 


a Hydrse .... 


9 21 20.804 


23.753 


26.703 


29.652 


32.602 


35.551 


38.501 


41.450 


* d Ursse Majoris . 


9 23 12.682 


18.109 


23.535 


28.960 


34.383 


39.804 


45.223 


50.640 


6 Ursse Majoris . 


9 24 20.991 


25.041 


29.091 


33.140 


37.189 


41.237 


45.285 


49.332 


e Leonis .... 


9 38 38.381 


41.801 


45.220 


48.639 


52.058 


55.477 


58.895 


62.314 


ji Leonis .... 


9 45 32.199 


35.623 


39.048 


42.472 


45.896 


49.320 


52.744 


56.167 


a Leonis, (Regulus) . 


10 1 36.444 


39.647 


42.850 


46.053 


49.256 


52.459 


55.661 


58.864 


*32 Ursse Majoris . '. 


10 8 47.139 


51.578 


56.016 


60.453 


64.888 


69.322 


73.756 


78.183 


y 1 Leonis .... 


10 12 58.077 


61.394 


64.711 


68.028 


71.345 


74.661 


77.976 


31.294 


* 9 Draconis, (H.) . 


10 24 14.422 


19.729 


25.033 


30.335 


35.633 


40.929 


46.223 


51.514 


p Leonis .... 


10 26 7.424 


10.590 


13.756 


16.922 


20.088 


23.253 


26.419 


29.585 


i] Argus .... 


10 40 8.291 


10.601 


12.911 


15.222 


17.532 


19.843 


22.154 


24.465 


1 Leonis .... 


10 42 34.813 


37.972 


41.132 


44.291 


47.450 


50.609 


53.769 


56.928 


a Ursse Majoris . 


10 55 52.314 


56.073 


59.832 


63.590 


67.347 


71.103 


74.859 


78.614 


6 Leonis .... 


11 7 21.159 


24.361 


27.563 


30.765 


33.967 


37.168 


40.370 


43.571 


<5 Crater's .... 


11 12 59.568 


62.564 


65.561 


68.557 


71.553 


74.549 


77.546 


80.542 


t Leonis .... 


11 21 24.378 


27.466 


30.554 


33.642 


3(5.730 


39.818 


42.906 


45.994 


* "k Draconis . . . 


11 23 50.285 


53.924 


57.561 


61.198 


64.834 


68.468 


72.102 


75.735 1 


v Leonis .... 


11 30 26.823 


29.895 


32.966 


36.038 


39.110 


42.182 


45.254 


48.325 


[3 Leonis .... 


11 42 34.841 


37.907 


40.973 


44 038 


47.104 


50.169 


53.234 


56.299 


7 Ursse Majoris . 


11 47 8.474 


11.662 


14.850 


18.037 


21.224 


24.411 


27.597 


30.783 


o Virginis .... 


11 58 44.397 


47.456 


50.516 


53.575 


56.635 


59.694 


62.753 


65.813 


i* 4 Draconis, (H.) . 


12 6 13.563 


16.468 


19.373 


22.276 


25.178 


28.079 


30.979 


33.877 


* (3 Chamseleontis . . 


12 10 55.956 


59.301 


62.647 


65.995 


69.345 


72.697 


76.051 


79.406 


?/ Virginis . 


12 13 24.548 


27.616 


30.685 


33.753 


36.822 


39.891 


42.959 


46.028 


a 1 Crucis .... 


12 19 32.494 


35.761 


39.029 


42.V97 


45.566 


48.836 


52.106 


55.377 


(3 Corvi .... 


12 27 43.156 


46.294 


.49.433 


52.572 


55.711 


58.850 


61.989 


65.129 


|* k Draconis . .. . 


12 28 3.091 


5.691 


8.291 


10.891 


13.4 a 9 


16.088 


18.685 


21.283 


*32 Camelop.(H.)(/o/Z.) 


12 48 13.074 


13.432 


13.792 


14.155 


14.519 


14.886 


15.255 


15.626 


12 CanumVenaticorum 


12 50 5.052 


7.869 


10.685 


13 502 


1(5.318 


19.135 


21.951 


24.767 


Virginis .... 


13 3 22.582 


25.683 


28.784 


31.885 


34.986 


38.088 


41.189 


44.290 


a Virginis, (Spica) 


13 18 30.295 


33.448 


36.602 


39.755 


42.909 


46.062 


49.216 


52.370 


C Virginis .... 


13 28 13.390 


16.443 


19.496 


22.549 


25.602 


28.655 


31.708 


34.762 


i) Ursse Majoris . 


13 42 32.108 


34.482 


36.85(5 


39.229 


41.603 


43.977 


46.351 


48.724 


i ?/ Boolis .... 


13 48 38.305 


41.163 


44.022 


46.880 


49.739 


52.597 


55.456 


58.314 


| J3 Centauri .... 


13 54 52.745 


5(5.909 


6J.074 


65.240 


69.407 


73.575 


77.743 


81 912 


* a Draconis 


14 57.134 

1 


.58.757 


60.380 


62.003 


63.626 


65.249 


66.872 


68.495 



* Circumpolor Stars. 



SPECIAL TABLES. 



87 



TABLE IXIII. 


—Mean Declinations of Standard Stars, 1873—1880. 




1873. 


1874. 


1875. 


1876. 


1877. 


1878. 


1879. 


1880. 


o / // 

+22 12 51.03 


/ // 
12 44.80 


12 38.56 


12 32.31 


12 26.06 


12 


19.81 


/ a 
12 13.55 


12 7.28 


+63 43 15.22 


43 8.47 


43 1.72 


42 54.96 


42 


48.19 


42 


41.42 


42 34.63 


42 27.84 


+32 9 52.82 


9 45.35 


9 37.87 


9 30.39 


9 


22.90 


9 


15.41 


9 7.92 


9 0.41 


+ 5 32 54.79 


32 45.86 


32 36.92 


32 27.98 


32 


19.03 


32 


10.08 


32 1.13 


31 52.17 


+23 19 51.66 


19 43.33 


19 35.00 


19 26.67 


19 


18.33 


19 


9.99 


19 1.64 


18 53.29 


+27 5 32.96 


5 24.02 


5 15.07 


5 612 


4 


57.16 


4 


48.20 


4 39.23 


4 30.26 


+68 50 39.75 


50 29.70 


50 19.63 


50 9.57 


49 


59.49 


49 


49.41 


49 39.31 


49 29.22 


—23 56 21.58 


56 31.70 


56 41.82 


56 51.94 


57 


2.07 


57 


12.20 


57 22.33 


57 32.47 


+ 6 53 0.60 


52 47.68 


52 3476 


52 21.84 


52 


8.91 


51 


55.98 


51 43.04 


51 30.10 


+48 32 18.03 


32 4.18 


31 50.33 


31 36.48 


31 


22.61 


31 


8.75 


30 54.88 


30 41.00 


+67 38 49 84 


38 35.61 


38 21.38 


33 7.14 


37 


52.90 


37 


38.65 


37 24.39 


37 10.13 


+11 10 41.23 


10 27.01 


10 12.79 


9 58.57 


9 


44.35 


9 


30.12 


9 15.89 


9 1.65 


—58 44 31.82 


44 46.74 


45 1.68 


45 16.61 


45 


31.55 


45 


46.48 


46 1.42 


46 16.36 


+81 53 4.49 


52 49.19 


52 33 89 


52 18.58 


52 


3.26 


51 


47.93 


51 32.59 


51 17.25 


— 8 6 32.68 


6 48.08 


7 3.48 


7 18.88 


7 


34.28 


7 


49.69 


8 5.10 


8 20.51 


+70 23 10.55 


22 55.06 


22 39.56 


22 24.06 


22 


8.55 


21 


53.04 


21 37.52 


21 21.99 


+52 15 16.6] 


15 0.45 


14 44.29 


14 28.12 


14 


11.95 


13 


55.78 


13 39.60 


13 23.42 


+24 21 28.90 


21 12.53 


20 56.16 


20 39.79 


20 


23.42 


20 


7.04 


19 50.66 


19 34.27 


+26 36 14.65 


35 57.90 


35 41.15 


35 24.40 


35 


7.64 


34 


50.88 


34 34.12 


34 17.36 


+12 35 14.24 


34 56.82 


34 39.40 


34 21.93 


34 


4.56 


33 


47.13 


33 29.70 


33 12.27 


+65 44 25.55 


44 7.77 


43 49.99 


43 32.21 


43 


14.43 


42 56.64 


42 38.85 


42 21.06 


+20 29 0.15 


28 42 12 


28 24.09 


28 6.06 


27 


43.03 


27 


29.99 


27 11.95 


26 53.91 


+76 21 56.73 


21 38 37 


21 20.01 


21 1.64 


20 


43.27 


20 


24.90 


20 6.53 


19 48.15 


+ 9 57 34.20 


57 15.81 


56 57.41 


56 39.01 


56 


20.61 


56 


2.21 


55 43.80 


55 25.40 


—59 59.01 


1 17.77 


1 36.53 


1 55.29 


2 


14.05 


2 


32.81 


2 51.58 


3 10.34 


+11 13 0.82 


12 41.90 


12 22 98 


12 4.05 


11 


45.13 


11 


28.20 


1 1 7.27 


10 48.34 


+62 26 9.35 


25 49.99 


25 30.63 


25 11.27 


24 


51.91 


24 32.54 


24 13.18 


23 53.81 


+21 J 3 9.80 


12 50.15 


12 30.49 


12 10.84 


11 


51.18 


11 


31.53 


11 11.87 


10 52.21 


—14 5 28.84 


5 48.28 


6 7.72 


6 27.16 


6 


46.60 


7 


6.04 


7 25.48 


7 44.93 


+ 3 33 20.08 


33 0.30 


32 40.52 


32 20.74 


32 


0.96 


31 41.17 


31 21.39 


31 1.61 


+69 61 52.77 


61 32.90 


61 13.04 


60 53.17 


60 


33.30 


60 


13 44 


59 53.57 


59 33.70 


— 7 21.20 


7 41.03 


8 0.87 


8 20.71 


8 


40.54 


9 


0.38 


9 20.22 


9 40.06 


+15 16 56.04 


16 35.95 


16 15.86 


15 55.77 


15 


35.63 


15 


15.59 


14 55.50 


14 35.41 


+54 24 3.03 


23 43.01 


23 22.99 


23 2.97 


22 42.95 


22 


22.93 


22 2.90 


21 42.88 


+ 9 26 19.14 


25 59.13 


25 39.13 


25 1912 


24 


59.12 


24 


39.12 


24 19.11 


23 59.11 


+73 19 17.78 


18 57.72 


18 37.67 


18 17.62 


17 


57.56 


17 


37.51 


17 17.45 


16 57.40 


—73 36 26.09 


36 46.13 


37 6.17 


37 26.21 


37 


46.25 


38 


6.29 


38 26.33 


38 46.37 


+ 02 21.69 


2 1.66 


1 41.62 


I 21.59 


1 


1.56 





41.53 


21.50 


1.47 


—62 23 37.97 


23 57.90 


24 17.83 


24 37.76 


24 


57.69 


25 


17 61 


25 37.54 


25 57.47 


—22 41 37.19 


41 57.14 


42 17.08 


42 37.03 


42 56.97 


43 


16.91 


43 36.85 


43 56.80 


+70 29 17.30 


28 57.37 


28 37.44 


28 17.52 


27 


57.59 


27 


37.67 


27 17.74 


26 57.82 


+84 6 10.27 


5 50.64 


5 31.01 


5 11.37 


4 


51.74 


4 


32.11 


4 12.48 


3 52.85 


+38 60 17.38 


59 57.87 


59 38.36 


59 18.85 


58 


59.34 


58 


39.84 


58 20.33 


58 0.82 


— 4 51 36.62 


51 55.93 


52 15.24 


52 34.55 


52 


53.86 


53 


13.16 


53 32.47 


53 51.78 


—10 29 50.79 


30 9.69 


30 28.60 


30 47.50 


31 


6.40 


31 


25.31 


31 44.21 


32 3.10 


+ 03 16.28 


2 57.77 


2 39.25 


2 20.73 


2 


2.22 


1 


43.71 


1 25.20 


1 6.69 


+49 56 52.16 


56 34.05 


56 15.95 


55 57.86 


55 


39.76 


55 21 66 


55 3.57 


54 45.48 


+19 2 7.92 


1 49.75 


1 31.57 


1 13.40 





55.23 





37.07 


18.90 


0.74 


—59 45 32.59 


45 50.24 


46 7.89 


46 25.54 


46 


43.18 


47 


0.82 


47 18.47 


47 36.11 


+64 53 58.32 


58 40.96 


58 23.60 


58 6.24 


57 


48.89 


57 


31.53 


57 14.18 


56 56.82 



88 



SPECIAL TABLES. 



TABLE XXIII.— Mean Right Ascensions of Standard Stars, 1873- 


-1880. 




Star's name. 


1873. 


1874. 


1875. 


1876. 


1877. 


1878. 


1879. 


1880. 






h m 


s 


s 


s 


s 


8 


8 


s 


s 




a Bootis,( Arcturus) . 


14 9 


52.145 


54.879 


57.614 


60.348 


63.082 


65.817 


68.551 


71.286 




6 Bootis . ' . 


14 20 


52.358 


54.401 


56.444 


58.487 


60.530 


62.574 


64.617 


66 660 




* 5 Ursse Minoris . . 


14 27 


49.194 


48.985 


48.777 


48.570 


48.365 


48.160 


47.956 


47.754 




« 3 Centauri 


14 31 


0.300 


4.394 


8.430 


12.466 


16.503 


20.540 


24.579 


28.617 




e Bootis .... 


14 39 


26.407 


29.089 


31.710 


34.332 


36.953 


39.575 


42.196 


44.818 




a 2 Libra) .... 


14 43 


51.320 


54.627 


57 935 


61.242 


64.550 


67.857 


71.165 


74.473 




* (3 Ursse Minoris . 


14 51 


5.891 


5.643 


5.397 


5.152 


4.908 


4.664 


4.422 


4.181 




j3 Bootis .... 


14 57 


9.728 


11.988 


14.248 


16.508 


18.768 


21.028 


23.288 


25.548 




S Librse .... 


15 JO 


10.495 


13.715 


16.935 


20.156 


23.376 


26.597 


29.818 


33.038 




fx l Bootis .... 


15 19 


41.628 


43.895 


46.163 


48.431 


50.699 


52.966 


55.234 


57.502 




* y 1 Ursse Minoris . 


15 20 


56.783 


50.637 


56.493 


56.349 


56.205 


56.063 


55.921 


55.780 




a Corouse Borealis . 


15 29 


18.675 


21.214 


23.754 


26.293 


28.833 


31.372 


33.912 


36.451 




a Serpent is 


15 38 


0.787 


3.738 


6.688 


9.639 


12.589 


15.540 


18.491 


21.441 




e Serpcntis 


15 44 


29.203 


32.190 


35.177 


38.164 


41.151 


44.138 


47.125 


50.113 




* f Ursse Minoris . 


15 48 


38.487 


36.204 


33.922 


31.643 


29,365 


27.090 


24.816 


22.545 




e Coronse Borealis 


15 52 


19.898 


22.384 


24.869 


27.354 


29.840 


32.325 


34.810 


37.296 




6 Scorpii .... 


15 52 


49.598 


53.135 


56.672 


60.209 


63.746 


67.283 


70.820 


73.358 




B l Scorpii .... 


15 58 


3.264 


6.742 


10.219 


13.697 


17.175 


20.653 


24131 


27.609 




* Groombridge 2320 . 


16 5 


58.861 


58.994 


59.128 


59.262 


59.397 


59.532 


59.667 


59.803 




6 Ophiuchi 


16 7 


41.478 


44.616 


47.754 


50.892 


54.030 


57.168 


60.306 


63.445 




r Herculis .... 


16 15 


55.317 


57.115 


58.913 


60.711 


62.509 


64.307 


66.106 


67.904 




a Scorpii, (Antarcs) . 


16 21 


37.417 


41.086 


44.755 


48.424 


52.094 


55.763 


59.432 


63.102 




7j Draconis 


16 22 


16.575 


17.379 


18.184 


18.988 


19.793 


20.598 


21.404 


22.209 




* A Draconis . . . 


16 28 


14.524 


14.383 


14.242 


14.101 


13.961 


13 821 


13.682 


13.543 




£ Ophiuchi 


16 30 


10.026 


13.323 


16.621 


19.919 


23.217 


26.515 


29.813 


33.112 




* aTrianguli Australis . 


16 35 


14.405 


20.690 


26.975 


33.262 


39.550 


45.839 


52.128 


58.418 




i) Herculis .... 


16 38 


32.553 


34.608 


36.662 


38.717 


40.771 


42.826 


44.880 


46.935 




k Ophiuchi 


16 51 


39.408 


42.243 


45.078 


47.912 


50.747 


53.582 


56.417 


59.252 




d Herculis .... 


16 56 


54.908 


57.117 


59.326 


61.535 


63.744 


65.953 


68.162 


70.372 




* e Ursse Minoris . . 


16 58 


63.665 


57.285 


50.907 


44.532 


38.161 


31.792 


25.427 


19.064 




a 1 Herculis .... 


17 8 


51.414 


54.147 


56.881 


59.614 


62.347 


65.081 


67.814 


70.548 




44 Ophiuchi 


17 18 


36.919 


40.578 


44.237 


47.896 


51.555 


55.214 


58.873 


62.533 




j3 Dracouis 


17 27 


33.776 


35. 1 27 


36.478 


37.829 


39.180 40.531 


41.883 


43.234 




a Ophiuchi . * . 


17 29 


2.353 


5.135 


7.918 


10.700 


13.483 


16.265 


19.047 


21.830 




* w Draconis 


17 37 


41.832 


41.476 


41.121 


40.765 


40.410 


40.055 


39.700 


39.345 




// Herculis .... 


17 41 


29.322 


31.667 


34.012 


36.357 


38.702 


41.047 


43.392 


45.737 




* Tp l Draconis, (pr.) . 


17 44 


12.049 


10.966 


9.884 


8.803 


7.721 


6.640 


5.558 


4 477 




y Draconis 


17 53 


39.583 


40.976 


42.370 


43.764 


45.158 


46.551 


47.945 


49.^39 




y 2 Sagittarii . . 


17 57 


39.0 J 9 


42.872 


46 724 


50.577 


54.429 


58.282 


62.134 


65 987 




\i x Sagittarii 


18 6 


10.098 


13.684 


17.271 


20.857 


24.443 


28.029 


31.616 


35.202 




* a Octantfs .... 


18 11 


46.173 


155 139 


264.004 


372.758 


481.388 


589.883 


698.230 


806.417 




* 6 Ursse Minoris . 


18 11 138.149 


118.735 


99.317 


79.895 


60.469 


41.040 


21.609 


2.174 




1 1] Serpcntis 


18 14 


44.247 


47.346 


50.445 


53.545 


56.644 


59.744 


62.843 


65 943 




J Aquilse, (3H.Scuti) 


18 28 


17.697 


20.962 


24.226 


27.490 


30.755 


34.019 


37.284 


40.548 




a LyiSd,(Vega) . . 


18 32 


38.307 


40.338 


42.370 


44.401 


46.433 


48.405 


50.496 


52.528 




I 

| j3 Lyrse .... 


18 45 


23.455 


25.669 


27.883 


30.097 


32.312 


34.526 


36.740 


38.955 




a Sfigittarii 


18 47 


23.392 


27.116 


30.839 


34.562 


38.286 


42.009 


45.732 


49.455 




*50 D'ttconis 


18 50 


27.419 


25.520 


23.620 


21.720 


19.819 


17.917 


16.015 


14.113 




£ Aquilse .... 


18 59 


34.295 


37.050 


1 39.805 


42.560 


45.314 


48.069 


51.824 


54.579 




j d Sagittarii . . . 


19 10 


12.179 


15.693 


19.206 


22.719 


26.232 


29.745 


33.258 


36 771 





Circuinpolar Stars. 



SPECIAL TABLES. 



89 



TABLE XXIII.— Mean Declinations of Standard Stars, 1873—1880. 



1873. 


1874. 


1875. 


1876. 


1877. 


. 1878. 


1879. 


1880. 


O / /' 

-|-19 50 47.86 


50 


22.98 


50 


4.10 


49 


II 

45.22 


49 


26.34 


49 7.46 


i a 
48 48.59 


48 29.72 


+52 26 19.22 


26 


2.44 


25 45.67 


25 28.89 


25 


12.12 


24 55.35 


24 38.58 


24 21.81 


+76 15 36.49 


15 


20.44 


15 


4.40 


14 


48 35 


14 


32.31 


14 16 26 


14 0.21 


13 44.17 


—60 18 24.60 


18 


39 63 


18 


54.66 


19 


9.68 


19 


24.71 


19 39.72 


19 54.74 


20 9.75 


+27 36 39.46 


36 24.10 


36 


8 74 


35 


53.38 


35 


38.02 


35 22.67 


35 7.32 


34 51.97 


—15 30 44.10 


30 


59.29 


31 


14.49 


31 


29.68 


31 


44.87 


32 0.06 


32 15.24 


32 30.42 


+74 40 26.84 


40 


12.09 


39 


57.34 


39 


42.59 


39 


27.84 


39 13.09 


38 58.34 


38 43.59 


+40 53 33.39 


53 


19.00 


53 


4.61 


52 


50.22 


52 


35 84. 


52 21.45 


52 7.07 


51 52.69 


— 8 54 44.44 


54 


57.98 


55 


11.51 


55 


25.04 


55 


38.57 


55 52.10 


56 5.62 


56 19.14 


+37 49 25.90 


49 


13.09 


49 


0.29 


48 


47.48 


48 


34.68 


48 21.88 


48 9.08 


47 56.28 


+72 17 9.73 


16 


56.93 


16 


44.13 


16 


31.33 


16 


18.53 


16 5.74 


15 52.94 


15 40.15 


+27 8 37.35 


8 


25.02 


8 


12.69 


8 


0.37 


7 


48.05 


7 35.73 


7 23.42 


7 11.10 


+ 6 49 37.31 


49 


25.73 


49 


14.15 


49 


2.57 


48 


51.00 


48 39.43 


48 27.87 


48 16.30 


+ 4 51 42.48 


51 


3138 


51 


20.28 


51 


9.20 


50 


58.11 


50 47.03 


50 35.95 


50 24.87 


+78 11 2.64 


10 


51.76 


10 


40.88 


10 


29.99 


10 


19.11 


10 8.22 


9 57.32 


9 46.43 


+27 14 50.60 


14 


39.97 


14 


29.34 


14 


18.71 


14 


8.08 


13 57.46 


13 46.84 


13 36.23 


—22 15 27.56 


15 


3812 


15 


48.68 


15 


59.23 


16 


9.78 


16 20.32 


16 30.86 


16 41.40 


—19 27 20.53 


27 


30.72 


27 


40.91 


27 


51.09 


28 


1.27 


28 11.44 


28 21.61 


28 31.77 


+68 8 41.45 


8 


31.95 


8 


22.45 


8 


12.95 


8 


3.45 


7 53.95 


7 44.45 


7 34.95 


— 3 21 54.44 


22 


4.00 


22 


13.56 


22 23.12 


22 


32.67 


22 42.22 


22 5L76 


23 1.30 


+46 37 0.67 


36 


51.90 


36 


43.14 


36 


34.37 


36 


25.61 


36 16.85 


36 8.09 


35 59.33 


—26 8 5 J. 80 


9 


0.17 


9 


.,8.54 


9 


16.90 


9 25.25 


9 33.60 


9 41.94 


9 50.28 


+61 48 7.55 


47 


59.33 


47 


51.10 


47 


42.88 


47 


34.66 


47 26.44 


47 18.22 


47 10.00 


+69 2 34.24 


2 26.46 


2 


18.68 


2 


10.89 


2 


3.11 


1 55.33 


1 47.55 


1 39.76 


—10 18 26.69 


18 


34.30 


18 41.91 


18 


49.51 


18 


57.11 


19 4.71 


19 12.30 


19 19.88 


—68 47 26.09 


47 


33.42 


47 


40.74 


47 


48 05 


47 


55.35 


48 2.64 


48 9.92 


48 17.19 


+39 9 55.43 


9 


48.39 


9 


41.35 


9 


34.31 


9 


27.28 


9 20.25 


9 13.22 


9 6.20 


+ 9 34 28.62 


34 


22.75 


34 


16.89 


34 


11.03 


34 


5.17 


33 59.32 


33 53.47 


33 47.63 


+33 45 14.08 


45 


8.66 


45 


3.24 


44 


57.83 


44 


52.42 


44 47.02 


44 41.62 


44 36.22 


+82 14 33.32 


14 


28.05 


14 


22.77 


14 


17.47 


14 


12.18 


14 6.87 


14 1.55 


13 56.22 


+14 32 13.60 


32 


9.21 


32 


4.82 


. 32 


0.44 


31 


56.07 


31 51.69 


31 47.32 


31 42.96 


—24 3 19.45 


3 


23.13 


3 


26.81 


3 


30.49 


3 


34.16 


, 3 87.82 


3 41.48 


3 45.13 


+52 23 45.99 


23 


43.15 


23 


40.32 


23 


37.50 


23 


34.67 


23 31.85 


23 29.02 


23 26.20 


+12 39 16.36 


39 


13.45 


39 


10.54 


39 


7.64 


39 


4.74 


39 1.84 


38 58.95 


38 56.06 


. +68 48 57 27 


48 55.61 


48 


53.95 


48 52.29 


48 50.64 


43 48.98 


48 47.32 


48 45.66 


+27 47 48.35 


47 


46.01 


47 


43.67 


47 


41.34 


47 


39.01 


47 36.68 


47 34.36 


47 32.04 


+72 12 38.09 


12 


36.43 


12 


34.80 


12 


33.16 


12 


31.51 


12 29.86 


12 28.21 


12 26.56 


+51 30 16 62 


30 


16.03 


30 


15.44 


30 


14.85 


30 


14.27 


30 13.68 


30 13.10 


30 12.52 


—30 25 22.87 


25 


23.29 


25 


23.71 


25 


24.11 


25 


24.52 


25 24.92 


25 25.32 


25 25.71 


—21 5 22.08 


5 


21.53 


5 20.98 


5 


20.43 


5 


19.87 


5 19.30 


5 18.73 


5 18.15 


—89 16 40.49 


16 


39.38 


16 


38.12 


16 


36 69 


16 


35.10 


16 33.36 


16 31.47 


m 29.41 


+86 36 25.05 


36 26.24 


36 


27.41 


36 


28.55 


36 


29.65 


36 30.73 


36 31.79 


36 32 81 


— 2 55 45.82 


55 


45.20 


55 


44.58 


55 


43.95 


55 


43.32 


55 42 (58 


55 42.04 


55 41.39 


— 8 19 49.61 


19 


47.45 


19 


45.28 


19 


43.11 


19 


40.93 


19 38.75 


19 36.56 


19 34.37 


+38 40 0.38 


40 


3.5 L 


40 


6.64 


40 


9.78 


40 


12.92 


40 16.07 


40 19.21 


40 22.36 


+33 12 59.87 


13 


3.81 


13 


7.75 


13 


11.69 


13 


15.63 


13 19.58 


13 23.53 


19 27.49 


—26 27 5.99 


27 


193 


26 


57.87 


26 


53.80 


26 


49.73 


26 45 65 


26 41.57 


26 37.48 


+75 16 57.62 


17 


2.C5 


17 


6.49 


17 


10.92 


17 


15.35 


17 19.77 


17 24.19 


17 28.61 


+13 40 35 99 


40 


4106 


40 


46.14 


40 


51.21 


40 


56 30 


41 1.38 


41 6.47 


41 11.57 


—19 10 32.78 


10 


26.69 


10 


20.60 


10 


14.50 


10 


8.39 


10 2.28 


9 56.17 


9 50.06 



90 



SPECIAL TABLES. 





TABLE XXIII.— Mean Right Ascensions of Standard Stars, 1813—1880. 




Star's name. 


1873. 


1874. 


1875. 


1876. 


1877. 


1878. 


1879. 


1880. 






h m 


s 


s 


s 


s 


s 


s 


s 


s 




* d Draconis . . . 


19 12 


31.207 


31240 


31.273 


31.305 


31.338 


31.370 


31.402 


31.434 




* r Draconis . . . 


19 17 


58 931 


57.824 


56.715 


55.607 


54.497 


53.387 


52.277 


51.165 




6 Aquilse .... 


19 19 


5.633 


8.658 


11.682 


14.706 


17.731 


20.755 


23.779 


26.804 




k Aquilse .... 


J 9 30 


3.463 


6.693 


9.923 


13.153 


16.383 


19.613 


22.843 


26.073 




7 Aquilse .... 


19 40 


13.291 


16.144 


18.997 


21.850 


24.703 


27.556 


30.408 


33.261 




a A<\m\se,(Altair) 


19 44 


35.172 


38.100 


41.029 


43.957 


46.885 


49.813 


52.741 


55.669 




* e Draconis 


19 48 


35.443 


35.271 


35.098 


34.925 


34.751 


34.577 


34.403 


34.228 




ft Aquilse .... 


19 49 


4 45-3 


7.403 


10.350 


13.297 


16.244 


19.191 


22.138 


25.085 




* A Ursse Minoris . . 


19 44 438.451 


378.244 


317.739 


256.936 


195.836 


134.440 


72.747 


10.758 




r Aquilse .... 


19 57 


56.133 


59.066 


62.000 


64.933 


67.866 


70.800 


73.733 


76.666 




a 2 Capricorni . 


20 11 


0.369 


3.702 


7.035 


10.368 


13.701 


17.033 


20.366 


23.699 




* ic Cephei .... 


20 12 


67.429 


65.532 


63.633 


61.733 


59.831 


57.928 


56.023 


54.116 




a Pavonis .... 


20 15 


35.569 


40.363 


45.156 


49.948 


54.740 


59.531 


64.322 


69.113 




7T Capricorni . 


•20 20 


2.982 


6.423 


9.864 


13.305* 


16.746 


20.187 


23.627 


27.068 




e Delphini .... 


20 27 


8.689 


11.555 


14.421 


17.287 


20.153 


23.019 


25.885 


28.750 




* Groombridge 3241 . 


20 30 


32.309 


32.099 


31.889 


31.679 


31.468 


31.256 


31.043 


30.830 




a Cygni .... 


20 37 


6148 


8.192 


10.236 


12.280 


14.324 


16.368 


18.412 


20.456 




fx Aquarii .... 


20 45 


48.096 


51.336 


54.576 


57.816 


61.056 


64.296 


67.535 


70.775 




v Cygrri .... 


20 52 


26.314 


28.548 


30.782 


33.016 


35.250 


37.484 


39.718 


41.952 




* 12 Year Cat. 1879 . 


20 52 


76.564 


74.063 


71.561 


69.056 


66.547 


64.035 


61.520 


59.002 




61 Cygni (pr.) . . . 


21 1 


12.359 


15.046 


17.733 


20.421 


23.109 


25.797 


28.485 


31.173 




C Cygni .... 


21 7 


31.877 


34.428 


36.978 


39.528 


42.079 


44.629 


47.180 


49.730 




a Cephei .... 


21 15 


32 828 


34.265 


35.703 


37.140 


38.577 


40.014 


41.451 


42.888 




1 Pegasi .... 


21 16 


12.861 


15.635 


18.409 


21.183 


23.958 


26.732 


29.506 


32.280 




ft Aquarii .... 


21 24 


52.326 


55.490 


58.654 


61.818 


64.982 


68.146 


71.309 


74.473 




* ft Cephei .... 


21 27 


0.760 


1.559 


2.358 


3.157 


3.956 


4.754 


5.552 


6 349 




f Aquarii .... 


21 30 


59 361 


62.560 


65.758 


68.956 


72.154 


75.352 


78.550 


81.747 




e Pegasi .... 


21 37 


56.924 


59.871 


62.819 


65.767 


68.715 


71.683 


74.611 


77.559 




*11 Cephei .... 


21 40 


3.269 


4.175 


5.081 


5.987 


6.892 


7.797 


8.702 


9.606 




ft Capricorni . . . 


21 46 


22.215 


25.494 


28.773 


32.052 


35.331 


38.610 


41.888 


45.167 




*79 Draconis . . . 


21 51 


17.177 


17.914 


18.650 


19.386 


20.121 


20.856 


21.590 


22.324 




a Aquarii .... 


21 59 


15.613 


18.696 


21.780 


24.864 


27.947 


31.031 


34.114 


37.198 




a Gruis . 


22 


J 3. 186 


16.999 


20.812 


24.624 


28.436 


32.247 


36.058 


39.868 




6 Aquarii . . . ; 


22 10 


7 850 


11.020 


J4.191 


17.361 


20.531 


23.701 


26.871 


30.041 




7r Aquarii .... 


22 18 


47.440 


50.505 


53.570 


56.635 


59.700 


62.766 


65.831 


68.896 




V Aquarii .... 


22 28 


49.770 


52.854 


55.937 


59.020 


62.103 


65.186 


68.269 


71.352 




*220 Cephei, (B.). . . 


22 30 


2.177 


3.259 


4.342 


5.424 


6.506 


7.587 


8.068 


9.749 




f Pegasi .... 


22 35 


7.637 


10.625 


13.614 


16.602 


19.591 


22.579 


25.568 


28.557 




* i Cephei .... 


22 45 


9.761 


11.879 


13.997 


16.116 


18.235 


20.354 


22.473 


24.593 




/I Aquarii .... 


22 45 


59.215 


62.346 


65.477 


68.609 


71.740 


74.871 


78.002 


81.133 




a Pis Aws.(Fomalhaut) 


22 50 


37.719 


41.048 


44.377 


47.706 


51.034 


54.362 


57.690 


61.017 




a Pegasi, (Mar/cab) . 


22 58 


26.134 


29.119 


32.103 


35.088 


38.073 


41.057 


44.042 


47.027 




* o Cephei .... 


23 13 


25.174 


27.612 


30.049 


32.488 


34.926 


37.365 


39.805 


42.245 




Piscium .... 


23 21 


31 539 


34.580 


37.621 


40.662 


43.703 


46.744 


49.785 


52.826 




i Piscium .... 


23 33 


25. J 58 


28.243 


31.328 


34.413 


37.497 


40.582 


43.667 


46.752 




* 7 Cephei . . 


23 34 


9.003 


11.407 


13.811 


16.217 


18.622 


21.029J 


23.436 


25.844 




* Groombridge 4163 . 


23 48 


40.624 


43.475 


46.327 


49.179 


52.033 


54.887 


57.742 


60.599 j 




w Piscium .... 


23 52 


47.440 


50.518 


53.596 


56.675 


59.753 


62.831 


65.9 JO 


68,988 il 



Circumpolar Stars. 



SPECIAL TABLES. 



91 



TABLE XXIII.— Mean Declinations of Standard Stars, 1813—1880. 



1873. 



+87 26 16.75 
+73 7 7.79 
+ 2 51 49.20 
— 7 18 26.57 
+10 18 20.04 



+ 8 32 5.02 
+69 56 38.68 
+ 65 29.05 
+88 55 32.34 
+ 6 55 17.11 



—12 56 11.45 
+77 19 39.15 
—57 8 20.16 
—18 37 33.39 
+10 52 23.62 



+72 6 4.87 
+44 49 38.79 

— 9 27 28.60 
+40 40 46.39 
+80 4 28.10 

+38 7 34.26 
+29 42 25.82 
+02 2 51.32 
+19 15 45.51 

— 6 7 41.97 



+70 11.20 
— 8 25 20.37 
+ 9 17 38 36 



1874. 



+70 43 36.03 
—14 8 52.68 


+73 6 5.29 

— 56 8.66 
—47 34 28.39 

- 8 24 52.63 
+ 44 1.84 


— 46 16.40 
+75 34 18.86 
+ 10 10 9.56 
+65 31 57.62 

— 8 15 16.26 


—30 17 40.19 
+ 14 31 21.67 
+67 24 59.40 
+ 5 40 55.18 
+ 4 56 17.91 


+76 55 25 CO 
+73 42 12.28 
+ 69 37.45 



26 23.06 
7 14.58 

51 56.08 
18 18.86 
18 28.55 



32 14.24 

56 47.83 

5 37.77 

55 41.66 

55 27.00 



56 0.58 
19 50.15 
8 9.00 
37 21.91 
52 35.61 

6 17.10 
49 51.48 
27 15.35 
41 0.11 

4 41.81 



7 51.76 
42 40.40 

3 6.43 
16 0.75 

7 26.33 



26.92 
25 4.42 
17 54.70 
43 52.54 

8 35.91 



6 22.25 
55 51.33 
34 11.20 
24 34.85 
44 19.97 



45 57.96 
34 37.38 
10 28.26 
32 16.47 
14 57.19 



17 21.21 
31 40.98 
25 19.03 

41 14.92 
56 37.39 

55 45.07 

42 32.28 
9 57.40 



1875. 



1876. 



26 29.37 
7 21.36 
52 2.98 
18 11.16 
18 37.05 



32 23.46 
56 56.98 
5 46.49 
55 50.90 
55 36.90 



55 49.71 
20 1.15 

7 57.84 
37 10.43 
52 47.60 



6 29.32 
50 4.18 
27 2.08 
41 13.83 

4 55.52 



8 9.26 
42 54.99 

3 21.55 
16 15.99 

7 10.69 

42.63 

24 48.47 
18 11.03 
44 9.04 

8 19.13 



6 39.22 
55 33.99 
33 54.00 
24 17.06 
44 38.11 



45 39.52 
34 55.90 
10 46.96 
32 35.33 
14 38.11 



17 2.22 
32 0.30 

25 38.65 

41 34.67 

56 56.88 

56 5.15 

42 52.28 
10 17.34 



26 35.68 
7 28.15 
52 9.85 
18 3.45 
18 45.56 



32 32.69 
57 6.12 

5 55.22 
56 0.07 
55 46.80 



55 38.84 
20 12.15 
7 46.67 
36 58.94 
52 59.60 



6 41.54 
50 16.87 
26 48.82 
41 27.55 

5 9.22 



8 26.77 
43 9.58 

3 36.66 
16 31.23 

6 55.04 



58.34 
24 32.52 
18 27.37 
44 25.55 

8 2.35 



6 56.18 
55 16.66 
33 36.80 
23 5S/.28 
44 56.24 



45 21.07 
35 14.42 
11 5.67 
32 54.18 
14 19.04 



16 43.23 
32 19.62 
25 58,27 
41 54.42 
57 16.36 

56 25.22 
43 12.28 
10 37.28 



1877. 



1878. 



26 41.99 

7 34.94 

52 16.74 

17 55.73 

18 54.07 



32 41.93 

57 15.27 

6 3.95 

56 9.15 

55 56.70 



55 27.96 
20 23.14 
7 35.50 
36 47.45 
53 11.60 



6 53.77 
50 29.57 
26 35.55 
41 41.28 

5 22.92 



8 44.28 
43 24.17 

3 51 78 
16 46.47 

6 39.39 



26 48.30 
7 41.72 
52 23.64 
17 48.01 
19 2.59 



32 51.16 
57 24.41 
6 12.68 
56 18.16 
56 6.61 



55 17.08 
20 34.14 
7 24.32 
36 35.96 
53 23.61 



7 5.99 

50 42.28 

26 22.28 

41 55.01 

5 38.62 



9 1.80 
43 38.76 

4 6.89 
17 1.72 

6 23.73 



1 14.06 


24 16.56 


18 43.71 


44 42.05 


7 45.57 


7 13.15 


54 59.32 


33 19.60 


23 41.49 


45 14.38 


45 2.63 


35 32.94 


11 24.38 


33 13.04 


13 59.96 


16 24 23 


32 38.93 


26 17.90 


42 14.17 


57 35.85 


56 45.30 


43 32.28 


10 57.22 



1879. 



1 29.77 


24 0.60 


19 0.06 


44 58.56 


7 28.79 


7 30.12 


54 41.98 


33 2.39 


23 23.69 


45 32.52 


44 44.18 


35 51.46 


11 43.09 


33 31.90 


13 40.89 


16 5.24 


32 58.25 


26 37.52 


42 33.92 


57 55.33 


57 5.38 


43 52.28 


11 17.17 



26 54.60 
7 48.51 
52 30.54 
17 40.29 
19 11.11 



33 0.40 

57 33.56 

6 21.42 

56 27.08 
56 16.52 



55 6.20 
20 45.13 
7 13.13 
36 24.46 
53 35.61 



7 18.21 
50 54.98 
26 9.01 
42 8.74 

5 50.31 



9 19.31 
43 53.36 

4 22.01 
17 16.97 

6 8.08 



1 45.49 
23 44.64 
19 16.40 
45 15.06 

7 12.00 



7 47.09 
54 24.63 
33 45.18 
23 5.90 
45 50.67 



44 25.73 
36 9.98 

12 1.80 
33 50.75 

13 21.81 



15 46.24 
33 17.58 
26 57.15 
42 53.67 
58 14.82 

57 25.45 
44 12.28 
11 37.11 



1880. 



27 0.91 
7 55.29 
52 37.45 
17 32.56 
19 19.63 



33 9.64 
57 42.71 
6 30.16 
56 35.92 
56 26.43 



54 55.31 
20 56.12 
7 1.94 
36 12.96 
53 47.62 



7 30.43 
51 7.69 
25 55.73 
42 22.47 

6 4.00 



9 36.84 

44 7.96 

4 37.13 
17 32.22 

5 52.42 



2 1.20 
23 28.68 
19 32.75 
45 31.57 

6 55.21 



8 4.05 
54 7.29 

33 27.96 
22 48.10 
46 8.81 

44 7.29 
36 28.50 

12 20.51 

34 9.61 

13 2.73 



15 27.25 
33 36.90 
27 16.78 

43 13.42 
58 34.31 

57 45.53 

44 32.28 
11 57.05 



92 



SPECIAL TABLES. 









TABIE XXIV.- 


-* p Hydri. 






h m 
R.A. 18.9. 




o / 

Dec, — 77 59. 


Upper transit at fictitious meridian. 








A O a 




A Q d 


Side- 
real 


A ^ a 


A Q<* 


A Q a 


A Q d 


Sidereal Day. 


MeanDay. 










Day. 










1870. 


Var. in 

10y. 


Diff. for 
10 d. 


1870. 


Var. in 
lOy. 


Diff. for 
10 d. 




1865. 

8 


1873. 

s 



















100 


-1.811 
2.031 


+3.51 
2.94 


+0.630 
0.894 


-5.57 
5.16 






















s 






// 






200 


2.233 


2.34 


1.151 


4.74 


0, Jan. 


— 0.76 


-0.578 


+17 


—932 


—20.11 


— 


+ 74 


300 


2.416 


1.72 


1.397 


4.27 


10 


-f 9.21 


1.490 


21 


887 


19.06 


1 


135 


400 


2.578 


1.08 


1.631 


3.76 


20 


19.18 


2.343 


24 


815 


17.43 


2 


192 








30 


29.15 


3.113 


26 


720 


15.25 


3 


242 




18G6. 


1871. 


Feb. 9 


8.13 


3.778 


28 


605 


12.61 


4 


286 



























—2.526 


+1.30 


+1.554 


— 3.U4 


19 


18.10 


4.322 


28 


478 


9.56 


4 


323 


100 


. 2.673 


0.66 


1.779 


3.41 


Mar. 1 


0.07 


4.730 


28 


336 


6.18 


5 


351 


200 


2.797 


+0.01 


1.989 


2.85 


11 


10.04 


4.991 


27 


185 


— 2.57 


5 


371 


300 


2.897 


—0.64 


2 181 


2.27 


21 


20.02 


5.099 


25 


— 29 


+ 1.21 


5 


382 


400 


2.971 


1.29 


2.356 


1.68 


31 


29.99 


5.049 


22 


+130 


5.05 


5 


385 




1867. 


1875. 


100, Apr. 10 


8.96 


4.839 


18 


289 


8.88 


5 


380 





—2.9491— 1.07 


+2.2991—1.88 


20 


18.93 


4.473 


14 


444 


12,62 


5 


367 


100 


3.0071 1.71 


2.461 1.28 


30 


28.91 1 


3.954 


9 


592 


16.18 


5 


346 


200 


3.038 2.33 


2 602 0.66 


May 10 


8.88 


3.293 


+ 4 


729 


19 50 


4 


317 


300 


3.0421 2 93 


2.721—0.04 


20 


18.85 


2.502 


— 2 


851 


22.51 


4 


282 


400 


3.020| 3.50 


2.818+0.58 


30 


28.83 


1.599 


7 


954 


25.13 


3 


241 




1868 B. 


1876 B. 


June 9 


7.80 


—0.603 


13 


1035 


27.31 


2 


193 








19 


17.77 


+0.462 


18 


1091 


28.99 


1 


142 





—3 030 


—3.3.1 


+2.788 


+0.37 


29 


27.74 


1.569 


24 


1118 


30.14 


— 1 


88 


100 


2.991 


3.87 


2.870 


0.98 


July 9 


7.72 


2.688 


28 


1116 


30.73 





+ 30 


200 
300 


2.925 

2.834 


4.39 

4.87 


2.928 
2.962 


1.59 
2.19 


200, 19 


17.69 


3.789 


33 


1083 


30.74 


+ 1 


- 28 


400 


2.719J 5.30 


2.971 


2.77 


29 


27.66 


4.842 


37 


1017 


30.18 


2 


84 








Aug. 8 


6.63 


5.814 


39 


922 


29.06 


3 


138 




1869. 


1877. 


18 
28 


16.61 

26.58 


6.676 
7.401 


41 
43 


798 
650 


27.43 
25.33 


3 
4 


188 
231 



100 
200 


—2.760 
2.629 
2.476 


—5.16 
5.57 
5.93 


+2 971 

2.964 

! 2.933 


+2.58 
3.14 
3.68 


Sept. 7 


5.55 


7.967 


43 


481 


22.85 


4 


265 


300 


2.301 


6.23 


2.878 


4.19 


17 


15.53 


8.356 


42 


296 


20.06 


5 


291 


400 


2.107 


fi 48 


2.798 


4.6fi 


27 


25.50 


8.557 


40 


+104 


17.07 


5 


305 








Oct. 7 


5.47 


8.564 


38 


— 89 


14.00 


5 


307 




1870. 


1878. 


17 


15.44 


8.380 


34 


277 


10.97 


5 


297 



























—2.175—6.40 


+2.828 


+4.51 


300, 27 


25.42 


8.013 


30 


452 


8.09 


4 


276 


100 


1.969 


6.61! 2.733 


4.96 


Nov. 6 


4.39 


7.482 


26 


607 


5.49 


4 


242 


200 


1.747 


6.77 


2.616 


5.37 


16 


14.36 


6.808 


21 


737 


3.28 


3 


199 


300 


1.510 


6.86 


2.476 


5.74 


26 


24.33 


6.017 


16 


837 


1.54 


3 


147 


40C 


1.261 


6.90 


2.316 


6.06 


Dec. 6 


4.31 


5.143 


11 


'906 


+ 0.35 


2 


90 




1871. 


1879. 


16 
26 

36 


14.28 
24.25 
34.22 


4.216 
3.269 

+2.334 


6 
— 1 
+ 3 


942 

946 

—918 


— 0.24 

— 0.21 
+ 0.46 


+ 1 



— 1 


— 28 
+ 35 
+ 97 



100 
200 


—1.346 

1.090 
0.826 


-6.89 
6.89 
6.83] 


+2.372 
2. 197 
2.006 


+5.96 
6.21 

6.48 
















300 0.555 
400 0.281 


6.71J 
6.53 


1.797 


6.66 














1.572 


6^79 














1872 B. 


1880 B. 




* 6 


0, 


March 2, 


3.4. 








1 




* 6 


Mean Si 


m, March 2 


7.0. 







—0.3741—6.60 


+1.6491+6.76 




* 8 


Mean Si 


in, Sept. 25 


6. 




100-0.098] 6.39! 
200+0.178 0.12 
300| 0.451 5.81 
400+0.720J— 5.44 


1.415 

1.168 

0.911 

+0.645 


6.85 
6.88 
6.85 

+6.77 



SPECIAL TABLES. 



93 



h m 

R.A. 37.1 



TABLE XXIV.— 8 Ceti. 

o / 

Dec. — 18 42. 



Upper transit at fictitious meridian. 



Sidereal Day. Mean Day 



0, Jan. 

10 

20 

30 

Feb. 9 

19 
Mar. 1 
11 
21 
31 

100, Apr. 10 

20 

30 

May 10 

20 

30 
June 9 
- 19 

29 
July 9 



200, 



19 

29 
Aug. 8 

18 



Sept. 7 
17 
27 

Oct. 7 
17 

3C0, 27 

Nov. 6 

16 

26 

Dec. 6 

16 
26 
36 



— 0.75 

+ 9.22 

19.19 

29.17 

8.14 

18.11 

0.08 

10.06 

' 20.03 

30.00 

8.97 
18.95 

28.92 

8.89 
18.86 

28.84 

7.81 

17.78 

27.75 

7.73 

17.70 
27.67 
6.65 
16.62 
26.59 

5.56 
15.54 
25.51 

5.48 
15.45 

25.43 

4.40 

14.37 

24.34 

4.32 

14.29 

24.26 

+34.23 



A « 



1870. 



Var. in 
10 y. 



+0.025 

-0.098 

0.221 

0.336 

0.440 

0.527 
0.590 
0.627 
0.629 
0.592 

0.519 

0.401 

0.242 

—0.042 

+0.195 

0.464 
0.757 
1.072 
1.394 
1.718 

2.037 
2.339 
2.621 

2.874 
3.093 

3.276 
3.420 
3.524 
3.591 
3.619 

3.615 
3.583 
3.523 
3.442 
3.346 

3.235 
3.117 

+2.992 



Diff. for 
10 d. 



+ 3 
3 
3 
3 
2 

2 

+ 1 






- 1 
1 

2 

2 

2 
3 
3 
3 
4 

4 
3 
3 
3 
2 

2 
2 
1 

— 1 




+ 



■123 
123 
120 
110 
96 

76 

51 

- 20 

+ 17 

55 

95 
139 
180 
219 
254 

281 
305 
320 
324 
323 

312 

293 
269 
237 
201 

164 
124 

85 

47 

+ H 

— 19 
47 
71 

88 
103 

115 
122 



A Q 6 



1870. 



7.75 
8.22 
8.45 
8.43 
8.13 

7.57 
6,72 

5.62 
4.27 
2.67 

0.83 

+ 1.18 

3.36 

5.65 

8.02 

10.41 

12.77 
15.01 
17.12 
19.02 

20.67 
22.01 
23.03 
23.70 
24.00 

23.96 
23.59 
22.91 

21.99 

20.87 

19.60 
18.26 
16.91 
15.61 
14.41 

13 36 
12.51 



Var. in 
10 y. 



Diff. for 
10 d. 



+ 2 —125 +11.88 



+ 1 
1 

+ 1 





— 1 

1 
1 

2 

2 
2 
3 
3 
3 

3 
3 

2 

2 
2 

2 
1 
1 
1 

- 1 




+ 1 
1 

2 

2 

o 

2 

. 1 

1 

1 

1 

+ 1 



— 60 
35 
11 

+ 16 
43 

71 

98 
123 
148 
172 

193 
210 
225 
234 
238 

238 
231 

218 
201 

178 

150 
118 

85 

48 

+ 13 

— 21 

53 

81 

103 

121 

131 
135 
133 
126 
113 

95 
74 

— 51 



* 6 © 

^c 6 Mean Sun, 



March 30.4. 
March 31.6. 



Side- 
real 
Day. 



A ^ 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 

400 




100 
200 
300 
400 





100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 



+0.452 
0.361 
0.267 
0.170 

0.072 



+0.105 

+0.006 

0.093 

0.191 

0.287 



1865. 



+2.88 
2.27 
1.64 
1.00 
0.35 



1866. 



+0.57 

—0.08 

0.73 

1.38 

2.02 



1867. 



—0.255 
0.350 
0.442 
0.53U 
0.613 



-1.80 
2.43 
3.03 
3.61 
4.15 



1S88 B. 



-0.585 
0.665 
0.739 
0.806 
866 



-3. 

4.49 

4.97 

5.40 

5.79 



1869. 



-0.846 
0.901 
0.946 
0.987 
1.017 



-5.67 
6.02 
6.32 
6.57 
6.75 



1870. 



•1.008 
1.032 
1.047 
1.053 
1.051 



—6.70 
6.84 
6.93 
6.96 
6.93 



1871. 



—1.053 
1.044 

1.026 
1.000 
0.965 



—6.95 

6.88 
6.75 
6.56 
6.32 



1872 B. 



—0.978 
0.938 
0.890 
0.835 

—0.773 



A n a 



A Cl 6 



—0.201 

0.107 

—0.013 

+0.082 

0.175 



-6.41 
6.13 

5 81 
5.43 
-5.02 



1873 

s 

-0.795 
0.729 
0.656 
0.579 
0.499 



5.16 
4.71 
4.23 
3.71 
3.16 



1874. 



-0.525 
0.441 
0.353 
0.26; 
0.169 



-3.35 

2.78 
2.20 
1.59 
0.98 



1875. 



—1.19 

-0.57 

+0.06 

U.68 

1.30 



1876 b. 



+0.144 
0.23? 
0.328 
0.416 
0.501 



+1.09 
1.70 
2.30 
2.88 
3.43 



1877. 



+0.472 
0.555 
0.633 
0.705 
0.773 



+3.26 
3.79 
4.30 
4.77 
5.21 



1878. 



+0.750 
0.81b 
0.870 
0.919 
0.961 



+5.06 
5.47 
5.83 
6.15 
6.41 



1879. 



+0.948 
0.98C 
1.01b 
1.03b 
1.045 



+6.33 
6.56 
6.73 
6.85 
6.91 



1880 B. 



+ 1.042 
1.048 
1.045 
1.033 

+1.012 



+6.90 
6.92 
6.89 
6.79 

+6.64 



94: 



SPECIAL TABLES. 







TABLE XXIV.--*21 Cassiopc*. 








h m 

R.A. 37.1. 


o / 

Dec. + 74 16. 




Upper transit at fictitious meridian. 




Sidereal Day. 


Mean Day. 


A a 


A Q <5 


Side- 
real 
Day. 


A ^ a 


W 


A oQ a 


A a 6 




1870. 


Var.in 
10 y. 


Diff. for 
10 d. 


1870. 


Var.in 

10 y. 


Diff for 
10 d. 




1865. 

s " 


1873. 

s " 





















100 


+2.535 
2.546 


+2.88 
2.28 


—2.189—5.16 




















2.291 


4.71 








g 






// 






200 


2.535 


1.65 


2,374 


4.23 




0, Jan. 


— 0.75 


+0.218 


+15 


-693 


+19.32 


+ 1 


+ 30 


300 


2.501 


1.01 


2.438 


3.71 




10 


+ 9 22 


—0.485 


13 


706 


19.31 


1 


- 32 


400 


2.446 


0.36 


2.481 3.16 




20 


19.19 


1.184 


10 


688 


18.69 


2 


92 










30 


29.17 


1.851 


6 


643 


17.48 


3 


149 




1866. 


1874. 




Feb. 9 


8.14 


2.461 


+ 3 


572 


15.74 


4 


198 



























+2.467 


+0.58 


— 2.469| — 3.35 




19 


18.11 


2.987 


— 1 


475 


13.54 


5 


240 


100 


2.398 


— o.oe 


2.498 


2.79 




Mar. 1 


0.08 


3.404 


4 


356 10.98. 


5 


271 


200 


2.308 


0.73 


2.507 


2,20 




11 


10 06 


3.693 


7 


220 


8.16 


6 


291 


300 


2.197 


1.38 


2 495 


1.60 




21 


20.03 


3.840 


10 


— 72 


5.20 


6 


299 


400 


2.067 


2.01 


" 2.462 


0.98 




31 


30.00 


3.836 


13 


+ 81 


+ 2.22 


6 


293 




1867. 


1875. 




100, Apr 10 


8 97 


3.678 


14 


234 


— 0.65 


5 


278 





+2.113 


—1.80 


—2.476—1.19 




20 


18.95 


3.370 


16 


381 


3.30 


5 


252 


100 


1.970 


2.42 


2.430—0.57 




30 


28.92 


2.921 


16 


516 


5.65 


4 


216 


200 


1.812 


3.03 


2.364+0.06 




May 10 


8.89 


2.344 


16 


634 


7.60 


4 


172 


300 


1.637 


3.60 


2 279J 0.68 




20 


18.86 


1.660 


15 


732 


9.08 


3 


124 


400 


1.448 


4.15 


2.174 1.30 




30 


28.84 


0.887 


14 


808 


10.05 


2 


71 




1868 B. 


1876 B. 




June 9 


7.81 


—0.052 


12 


860 


10.49 


+ 1 


- 16 










19 


17.78 


+0.824 


9 


887 


10.36 





+ 40 





+1.513—3.97 


—2.212+1.09 




29 


27.75 


1.715 


6 


890 


9.70 


— 1 


94 


100 


1.316 


4.49 


2.096 


1.70 




July 9 


7.73 


2.597 


— 3 


872 


8.50 


2 


145 


200 

300 


1.107 

0.889 


4.97 
540 


1962 
1.813 


2.30 

2.88 




200, 19 


17.70 


3.451 


+ 1 


832 


6.80 


3 


193 


400 


0.664 


5.79 


1.647 


3.44 




29 


27.67 


4.255 


4 


773 


4.65 


4 


237 










Aug. 8 


6.65 


4.991 


8 


698 


— 2.09 


4 


275 




1869. 


1877. 




18 


16.62 


5,647 


12 


611 


+ 0.83 


5 


307 





+0.740 
0.511 


—5.67 


—1.705+3.25 
1.531; 3.79 




28 


26.59 


6.209 


15 


512 


4.03 


6 


333 


100 


6.02 




















200 


0.278 


6.32 


1.344 4.30 




Sept. 7 


5.56 


6.668 


18 


406 


7.46 


6 


352 


300 


+0.044 
—0.19 J 


6.56 


1.145 4.77 




17 


15.54 


7.018 


22 


294 


11.05 


6 


364 


400 


6.75 


0.937J 5.21 




27 


25.51 


7.254 


26 


177 


14.72 


6 


369 










Oct. 7 


5.48 


7.372 


28 


+ 58 


18.39 


6 


365 




1870. 


1878. 




17 


15.45 


7.373 


32 


— 58 


22.00 


6 


355 





























—0.111 


—6.70 


—1.009 


+5.06 




300, 27 


25.43 


7.257 


33 


173 


25.46 


6 


336 


1.00 


0.346 


6.84 


0.795 


5.47 




Nov. 6 


4.40 


7 029 


34 


284 


28.69 


5 


309 


200 


0.577 


6.93 


0.574 


5.83 




16 


14.37 


6.692 


35 


388 


31.61 


5 


274 


300 


0.800 


6.96 


0.347 


6.15 




26 


24.34 


6.256 


35 


482 


34.14 


4 


232 


400 


1.017 


6.93 


0.117 


6.41 




Dec. 6 


4.32 


5.732 


35 


565 


36.21 


3 


182 




1871. 


1879. 




16 
26 

36 


14.29 
24.26 
34.23 


5.132 
4.476 

+3.784 


34 

32 

+30 


631 

678 

—703 


37.77 

38.74 
+39.12 


2 
1 

— 


127 

68 

+ 7 




| 100 

200 


—0.944 
1.156 
1.356 


—6.95 

6.8c 
6.75 


1—0.195 

+0.036 

0.268 


+6.33 
6.56 
6.73 






1 














j 300 


1.545 


fi.sfi 


0.498 6.85 
0.724 6.91 














400 


L720 6.32 














j 


1872 B. 


i 1880 B. 






* <5 


©, March 30.4. 






! 










* 6 


Mean Sun, March 31 6. 









—1.662 


—6.41 


1+0.648+6.90 






* 8 


Mean Sun, Sept. 30.2. 






! 100 
| 200 


1.828 
1.978 


6.13 

5.81 


! 0.871| 6.92 
! 1.087J 6.89 














: 300 


2.111 


5.43 


1 1.295 6.79 














1 400—2.226 


—5.01 


+1.492J+6.64 





SPECIAL TABLES. 



95 







TABLE XXIV.- 


■e Pisciura. 






h m 
R.A. 56.2. 




o / 

Dec. +7 11. 






Upper transit at fictitious 


meridian. 


Sidereal Day. 


Mean Day. 


A Q a 


A Q d ' 


Side- 
real 
Day. 


A ^ a 


^ 


A a a 


A Q 6 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 

s 



















100 


+0.703 +2.20 


—0.964 
0.918 


—4.69 
4.19 


















0.624 


1.56 






s 






// 






200 


0.539 


0.91 


0.864 


3.66 


0, Jan. 


— 0.74 


+0.155 


+ 3 


—112 


+ 1.24 


+ 1 


— 66 


300 


0.450 


+0.25 


0.803 


3.10 


10 


4- 9.23 


+0.041 


3 


116 


+ 0.56 


2 


70 


400 


0.356 


—0.41 


0.736 


2.51 


20 


19.21 


-0.076 


3 


118 


— 0.15 


2 


70 








30 


29.18 


0.193 


2 


115 


0.84 


2 


68 




1866. 


1874. 


Feb. 9 


8.15 


0.303 


2 


104 


1.50 


1 


63 



























+0.388 


—0.19 


—0.759 


—2.71 


19 


18.12 


0.399 


2 


87 


2.09 


1 


55 


100 


0.292 


0.85 


0.688 


2.11 


Mar. 1 


0.10 


0.475 


1 


65 


2.58 


1 


42 


200 


0.193 


1.50 


0.611 


1.50 


n 


10.07 


0.526 


1 


— 35 


2.92 


1 


26 


300 


+0.093 


2.14 


0.529 


0.87 


21 


20.04 


0.543 


+ 1 





3.08 


1 


— 7> 


400 


—0.008 2.77 


0.443 


0.24 


31 


30.02 


0.525 





+ 39 


3.04 


+ 1 


+ 15 




1867. 


1875. 


100, Apr. 10 


8.99 


0.465 


— 1 


81 


2.77 





40 





+0.027 


—2.56 


-0.473—0.45 


20 


18.96 


0.363 


1 


123 


2.24 





66 


100 


—0.075 


3.17 


0.384 


+0.18 


30 


28.93 


0.219 


1 


166 


1.45 


— 1 


92 


200 


0.175 


3.74 


0.293 


0.81 


May 10 


8.91 


—0.032 


2 


206 


— 0.41 


1 


117 


300 


<0.274 


4.29 


0.199 


1.44 


20 


18.88 


+0.192 


2 


241 


+ 0.88 


2 


141 


400 


0.370 


4.80 


0.103 


2.05 


30 


28 85 


0.449 


2 


271 


2.40 


2 


161 




1868 B. 


1876 B. 


June 9 


7.82 


0.732 


2 


294 


4.09 


2 


177 








19 


17.80 


1.035 


2 


309 


5.93 


2 


190 





—0.338 


—4.63 


—0.136 


+1.84 


29 


27.77 


1.348 


2 


316 


7.88 


2 


197 


100 


0.432 


5.11 


—0.040 


2.45 


July 9 


7.74 


1.663 


2 


315 


9.86 


2 


200 


200 
300 


0.522 
607 


5.55 
5.93 


+0.057 
0.153 


3.03 

3.58 


200, 19 


17.71 


1.975 


2 


306 


11.85 


2 


197 


400 


0.687 


6.26 


0.248 


4.11 


29 


27.69 


2.273 


2 


289 


13.78 


2 


187 








Aug. 8 


6.66 


2.551 




267 


15.59 


3 


175 




1869. 


.1877. 


18 


16.63 


2.806 




240 


17.29 


2 


159 


o 


—0.661 


—6.16 


+0.916 
0.309 


+3.94 
4.45 ! 


28 


26.61 


3.030 




208 


18.77 


2 


139 


100 


0.737 


6.46 


















200 


0.806 


6.69 


0.401 


4.92 ; 


Sept. 7 


5.58 


3.222 




175 


20.06 


2 


119 


300 


0.869 


6.87 


0.489 


5.35 1 


17 

27 


15.55 
25.52 


3.379 
3.502 


l 


140 
105 


21.14 

21.96 


2 

2 


95 
71 


400 


0.923 


6.99 


0.573 


5.74 


Oct. 7 


5.50 


3.589 


+ 1 


71 


22.57 


1 


50 




1870. 


1878. 


17 


15.47 


3.645 




40 


22.96 


1 


29 



























—0.906 


—6.96 


+0.545 


+5.61 i 


300, 27 


25.44 


3.670 


2 


+ 11 


23.15 


— 1 


+ 9 


100 


0.955 


7.04 


0.626 


5.97 | 


Nov. 6 


4.41 


3.667 


'2 


— 17 


23.14 





— 9 


200 


0.996 


7.07 


702 


6.27 ; 


16 


14.39 


3.638 


3 


40 


22.97 





24 


300 


1.028 


7.02 


0.773 


6.53 


26 


24.36 


3.588 


3 


60 


22.67 





37 


400 


1.052 


6.92 


0.838 


6.73 


Dec. 6 


4.33 


3.519 


3 


78 


22.23 





48 




1871. 


1879. 


16 

26 
36 


14.30 

24.28 
34.25 


3.432 

3.332 

+3.223 


4 
4 

+ 5 


94 

105 

—113 


21.71 
21.12 

+20.47 





+ 1 


56 
63 

— 68 



100 
200 
300 
400 


—1.045 

1.062 
1.070 
1.070 


—6.96 
6.82 
6.62 
6.37 


+0.816 
0.876 
0.929 
0.974 


+6.67 ! 

6.84 
6.95 J 
7.00 l 
















i!ooo 


eioe 


i!oi2 


e!o9 

i 


















1872 B. 


1880 B. 




* 


5 0, 


April 4 


.7. 










! 




* < 


3 Mean Sun, 


April 5 


4. 







100 

200 


—1.064 

1.048 
1.024 


—6.17 
5.83 
5.44 


+ 1.000 
1.031 
1.055 


+7.UU 
6.95 1 
6.85 
















300 


0.991 


5.00 


1.069 6.68 ' 
















400 


—0.950 —4.53 


+1.074+0.47 



96 



SPECIAL TABLES. 



1 


TABLE XXIV.-* a Ursa) Minoris.* 




h m o / 

R.A. 1 11.3. Dec. + 88 37. 


Upper transit at fictitious meridian. 

1 






A a 


A d 


Side- 
real 


A a a 


A Q' 5 


A Q a A Q d ' 










Day. 








Sidereal Day. 


Mean Day. 




































18*0. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1S65. 

8 " 


1873. 

s 



















100 


+23.31 +1.7G 


—17.91 

19.48 


-4.28 
3.74 


















24.07 


1.04 






s 






// 






200 


24 62 


+0.37 


20.89 


3.17 


0, Jan. 


— 0.73 


+10.68 


+123 


—858 


+20.07 


— 5 


+113 


300 


24.96 


—0.30 


22.12 


2.57 


10 


+ 9.24 


+ 1.90 


9-4 


893 


20.88 


— 1 


+ 48 


400 


25.07 


0.97 


23.16 


1.95 


20 


19.22 


— 7.06 


58 


893 


21.03 


+ 4 


-r- 18 i 








30 


29.19 


15.85 


+ 22 


860 


20.52 


9 


83 | 




1866. 


1874. 


Feb. 9 


8.16 


24.14 


— 15 


793 


19.39 


15 


143 i 



























+25.06 


—0.74 


—22.84 


—2.16 


19 


18.14 31 60 


51 


694 


17.68 


18 


197 


100 


25.03 


1.41 


23.76 


1.53 


Mar. 1 


0.11 37.94 


85 


570 


15.47 


22 


243 


200 


24.78 


2.06 


24.49 


0.89 


11 


10.08 


42.92 


115 


423 


12.86 


24 


277 


300 


24.31 


2.70 


25.02 


—0.24 


21 


20.05 


46.36 


140 


263 


9.96 


26 


300 ! 


400 


23.63 


3.31 


25.33+0.40 


31 


30.03 


48.16 


159 


— 93 


6.89 


27 


311 




1867. 


1875. 


100, Apr. JO 


9.00 


48.22 


172 


+ 78 


3.78 


27 


309 





+23.87 


—3.11 


—25.26 


+0.18 1 


20 


18.97 


4661 


179 


243 


+ 0.75 


26 


295 


100 


23.06 


3.71 


25.43 


0.83 ! 


30 


28.94 


43.40 


178 


397 


— 2.09 


24 


271 


200 


22.03 


4.27 


25.40 


1.47 : 


May 10 


8.92 


38.72 


170 


536 


4.64 


21 


237 


300 


20.82 


4.79 


25.15 


2 09 


20 


18.89 


32.^74 


157 


655 


6.82 


18 


196 


400 


19.41 


5.27 


24.70 


2.70 


30 


28.86 


25.69 


137 


752 


8.55 


15 


149 




1868 3. 


1876 15. 


June 9 


7.83 


17.78 


112 


826 


9.79 


11 


97 








19 


17.81 


9.26 


8-4 


876 


10.49 


6 


—42 





+19.91 


-5.11 


—24.87 


+2.50 


29 


27.78 


— 0.34 


49 


903 


10.63 


+ 1 


+13 


100 


18.39 


. 5.56 


24.2? 


3.09 


July 9 


7.75 


+ 8.72 


— 14 


906 


10.24 


— 4 


67 


200 
300 


16.71 

14.89 


5.96 
6.31 


23.49 

22.50 


3.66 

4.20 


200, 19 


17.73 


17.71 


+ 23 


889 


9.30 


8 


120 


400 


12.93 


6.60 


21.32 


4.70 


29 


27.70 


26.43 


63 


852 


7.84 


13 


171 








Aug. 8 


6.67 


34.68 


104 


796 


5.89 


18 


218 




1869. 


1877. 


18 


16.64 


42.29 


141 


724 


3.50 


22 


260 





+13.61 
11.58 


—6.51 


—21.74 


+4.53 

5.01 


28 


26.62 


49.11 


177 


637 


- 0.71 


26 


298 


100 


6.76 


20.43 




5.59 54.99 












200 


9.45 


6.95 


18.95 


5.45 


Sept. 7 


212 


536 


+ 2.43 


29 


329 


300 


7.24 


7.08 


17.31 


5.84 


17 


15.56 


59.79 


244 


425 


5.84 


3L 


353 


400 


4.96 


7.ir> 


15.52 


6.19 


27 


25.53 


63.45 


273 


302 


9.47 


33 


371 








Oct. 7 


5.51 


63.82 


298 


172 


13.24 


34 


382 




1870. 


1S7S. 


17 


15.48 


66.85 


317 


+ 35 


17.08 


35 


384 



























+ 5.73 


—7.13 


—16.14 


+6.07 


300, 27 


25.45 


66.49 


331 


—107 


20.89 


34 


377 


100 


3.42 


7.16 


14.20 


6.38 


Nov. 6 


4.43 


64.71 


339 


249 


21.59 


33 


362 


200 


+ 1.09 


7.12 


12.25 


6.64 


16 


14.40 


61.51 


341 


389 


28.10 


32 


337 


300 


— 1.25 


7.02 


10.12 


6.84 


26 


24.37 


56.95 


337 


522 


31.31 


30 


303 


400 


3.58 


6.87 


7.91 


6.99 


Dec. 6 


4.34 


51.12 


326 


642 


34.14 


26 


261 




18*1. 


1879. 


16 
26 
36 


14.32 

24.29 
34.26 


44.16 

36.28 
+27.74 


309 

286 
+258 


745 

826 

—876 


36 50 

38.31 

+39.55 


22 

18 

—13 


209 

153 

+ 96 



100 
200 
300 


— 2.79 
5.10 
7 36 
9.56 


—6.93 
6.73 
6.48 
6.17 


— 8.6f 
6.39 
4.06 

— 1.68 


+6.94 
7.05 
7.10 
7.09 






400 


lh68 


5.81 


+ 0.73 


7.02 








1872 55. 


l§SO B. 




•* 6 ©, April 8.8. 










* 6 Mean Sun, April 9.2. 





-10.98 


— 5.93 


— 0.09 


+7.05 




* 8 Mean Sun, Oct. 8.8. 


100 
200 


13.03 
14.97 


5.54 
5. 10 


+ 2.33 
4.73 


6.94 
6.77 


t 


See pages 249. 251-253 for additional corrections. 


300 


16.79 


4.62 


7.10 


6.54 






400 


—18.46 


—4.10 


+ 9.43 

1 

r— 


+6.25 



SPECIAL TABLES. 



97 











TABLE XXIV. 


— 1 Ceti. 






1 
E.A. 1 


m 

17.5. 




o / 

Dec. — 8 51. 


Upper transit at fictitious meridian. 


• 






^©« 






A j 




Side- 
real 


A a a 


A Q 6 


A Q a 


A Q<* 


Sidereal Day. 


Mean Day. 














Day. 










1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

8 " 



















100 


+0.546 
0.461 


+1.42 
0.75 


—0.852 
0.794 


—4.13 

3.58 






















s 






// 






200 


0.372 


+0.08 


0.730 


3.00 


0, Jan. 


— 0.72 


+0.273 


+ 3 


—113 


— 4.43 


+ 1 


— 79 


300 


0.280 


—0.59 


0.661 


2.39 


10 


-|- 9.25 


0.156 


3 


121 


5.16 


2 


64 


400 


0.185 


1.26 


0.586 


1.77 


20 


19.22 


+0.032 


3 


125 


5.70 


2 


46 








30 


29.19 


—0.093 


3 


125 


6.08 


1 


28 




1866. 


1874. 


Feb. 9 


8.17 


0.215 


3 


117 


6.25 


1 


— 7 



























+0.217 


—1.04 


—0.612 


—1.98 


19 


18.14 


0.324 


2 


103 


6.22 


+ 1 


+ 15 


100 


0.120 


1.70 


0.534 


1.35 


Mar. 1 


0.11 


0.418 


2 


84 


5.95 





38 


200 


+0.023 


2.35 


0.451 


71 


11 


10.08 


0.489 


2 


57 


5.45 





61 


300 


—0.074 


2.98 


0.365 


—0.06 


21 


20.06 


0.529 


1 


— 23 


4.71 





86 


400 


0.171 


3.58 


0.276 +0.59 


31 


30.03 


0.534 


+ 1 


+ 14 


3.73 


— 1 


110 




1867. 


1875. 


LOO, Apr. 10 


9.00 


0.500 





55 


2.52 


1 


133 





—0.139 


—3.38 


—0.307 


+0.37 


20 


18.97 


424 


— 1 


97 


— 1.07 


1 


156 


100 


0.235 


3.96 


0.216 


1.01 


30 


28.95 


0.306 


2 


140 


+ 0.59 


2 


176 


200 


0.329 


4.51 


0.125 


1.65 


May 10 


8.92 


—0.144 


2 


182 


2.44 


2 


193 


300 


0.420 


5.02 


—0.032 


2.27 


20 


18.89 


+0.057 


2 


220 


4.44 


3 


206 


400 


0.507 


5.48 


+0.062 


2.87 


30 


28.87 


0.295 


2 


253 


6.54 


3 


215 




1868 B. 


1876 B. 


June 9 


7.84 


0.561 


3 


279 


8.72 


3 


219 








19 


17.81 


0.851 


3 


300 


10.91 


3 


217 





—0.478 


—5.33 


+0.0301+2.67 


29 


27.78 


1.158 


3 


311 


13.05 


3 


210 


100 


0.562 


5.76 


0.123 


3.25 


July 9 


7.76 


1.470 


3 


313 


15.09 


3 


196 


200 


0.642 


6.14 


0.215 


3.81 


















300 


0.715 


6.47 


0.305 4.34 


;200, 19 


17.73 


1.781 


3 


310 


16.97 


2 


178 


400 


0.782 


6.74 


0.393J 4.83 


29 


27.70 


2.087 


2 


298 


18.65 


2 


156 








Aug. 8 


6.67 


2.374 


2 


278 


20.08 


2 


129 




1869. 


1877. 


18 
28 


16 65 

26.62 


2.642 

2.881 


2 
2 


254 
225 


21.23 
22.06 


2 

1 


99 
67 



100 


—0.760 
0.823 


-6.66 

6.88 


+0.363 
0.449 


+4.68 
5.14 


Sept. 7 
17 


5.59 
15.57 


3.091 
3.267 


2 
1 


193 
158 


22.58 
22.79 


1 
1 


36 
+ 5 


200 
300 

400 


0.879 
0.926 
0.966 


7.05 
7.16 
7.21 


0.531 
0.609 

0.682 


5 57 
5.95 

6.28 


27 


25.54 


3.407 


1 


123 


22.69 


— 1 


— 24 






j 


Oct. 7 


5.51 


3.514 


— 1 


90 


22 32 





50 




1879. 


1878. 


17 


15.48 


3.587 





57 


21.70 





72 



























—0.953 


-7.20 


+0.658+6.17 


300, 27 


25.46 


3.629 





+ 26 


20.90 





88 


100 


0.987 


7.20 


0.727 


6.47 


Nov. 6 


4.43 


3.640 


+ 1 


— 3 


19.95 





100 


200 


1.012 


7.14 


0.791 


6 72 


16 


14.40 


3.623 


2 


30 


18.91 





107 


300 


1.029 


7.02 


0.84? 


6.90 


26 


24.37 


3.581 


2 


52 


17.83 


+ 1 


108 


400 


1.036 


6.84 


0.89^ 


7.04 


Dec. 6 


4.35 


3.519 


3 


72 


16.77 


1 


105 




1871. 


1879. 


16 
26 

36 


14.32 
24.29 
34.27 


3.438 

3.339 

+3.228 


3 
3 

+ 3 


91 

106 

—116 


15.74 
14.81 

+14.00 


+ 1 





98 

87 

— 74 



100 
200 
300 


—1.0351-6.91 
1.037 6.69 
1.030 6.42 
1.014 6.09 


+0.882 
0.928 
0.965 
0.995 


+7.C0 
7 09 
7.13 
7.10 


















400 


0.9901 5.71 


1.017 


7.02 




















1872 B. 


18SOB. 






5 0, 
<) Mean S 


un, i 


kpril 1( 
\pril l( 


).5. 

1.8. 




i 



100 


—0.999 
0.969 


—5.85 
5.44 


+1.011 

1.027 


+7.C6 
6.93 


1 * 
















200 


0.931 


4.98 


1.034 


6.75 
















300 


0.886 


4.49 


1.033 


6.51 














i 


400 


—0.833 


—3.95 


+ 1.023+6.22 



98 



SPECIAL TABLES. 







TABLE XXIV.— *38 Cassiopcae. 








h m 

E.A. 1 21.6. 


/ 

Dec. + 69 36. 




Upper transit at fictitious meridian. 




Sidereal Day. 


MeanDay 


A Q a 


A o* 


Side- 
real 
Day. 


A Q a 


A Q d 


A Q a 


A J 




1870. 


i 

Var. in Diff. for 

10 y. I 10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

s " 










1 









100 


+2. 145'+ 1.28 
2.112!+0.61 


—2.039 

2.087 


-4.03 
3.46 










1 














s 




// 






200 


2.U60!— 0.07 


2.117 


2.87 




0,Jan. 


— 0.72 


+0.920 


+15 —480 


+ 18.19 


— 1 


+ 77 


300 


1.989; 0.74 


2.129 


2.26 




10 


+ 9.25 


+0.422 


14 


512 


18.67 





+ 19 


400 


1.90l| 1.41 


2.124 


164 




20 


19.22 


-0.098 


13 


524 


18.56 


+ 1 


— 40 










30 


29.20 


0.619 


11 


515 


17.87 


2 


96 




1866. 


1874. 




Feb. 9 


8.17 


1.121 


9 


484 


16.64 


3 


149 





























+1.933 


— j.iy 


—2.127 


—1.84 




19 


18.14 


1.579 


6 


430 


14.92 


4 


194 


100 


1.834 


1.85 


2.111 


1.20 




Mar. 1 


0.11 


1.974 


4 


355 


12.79 


5 


231 


200 


1.719 


2.50 


2.076 


—0.56 




11 


10.09 


2.284 


+ 1 


263 


10.33 


6 


259 


300 


1.589 


3.13 


2.025 


+0.09 




21 


20.06 


2.495 


— 1 


156 


7.65 


6 


275 


400 


1.444 


3.73 


1.956 


0.74 




31 


30.03 


2.593 


4 


— 40 


4.87 


6 


280 




1867. 


1875. 




100, Apr. 10 


9.01 


2.574 


5 


+ 81 


+ 2.09 


6 


274 





+1.495 


—3.53 


—1.981 


+0.53 




20 


. 18.98 


2.431 


7 


202 


— 0.57 


5 


256 


100 


1.342 


4.10 


1.903 


1.17 




30 


28.95 


2 171 


8 


318 


3.01 


5 


230 


200 


1.178 


4.65 


1.808 


1.81 




May 10 


8.92 


1.798 


9 


425 


5.14 


4 


195 


300 


1.003 


5.15 


1.699 


2.42 




20 


18.90 


1.325 


10 


519 


6.89 


4 


153 


400 


0.820 


5.60 


1.576 


3.02 




30 


28 87 


0.765 


9 


598 


8.19 


3 


107 




1868 B. 


1876 IS. 




June 9 


7.84 


-0.135 


9 


659 


9.02 


2 


57 










19 


17 81 


+0 547 


8 


701 


9.33 


+ 1 


— 6 





+0.883—5.45 


—1.619 


+2.82 




29 


27.79 


1.261 


7 


725 


9.13 





+ 46 


100 


0.695 


5.88 


1.487 


3.41 




July 9 


7.76 


1.990 


5 


730 


8.42 


— 2 


96 


200 
300 


0.502 
0.304 


6.25 
6.56 


1.343 

1.188 


3.96 

4.48 




200, 19 


17.73 


2.715 


3 


718 


7.22 


3 


144 


400 


0.104 


6.82 


1.022 


4.97 




29 


27.71 


3.420 


— 1 


689 


5.56 


4 


188 










Aug. 8 


6.68 


4.089 + 2 


647 


3.48 


4 


228 




1869. 


1877. 




18 


16.65 


4.709 


4 


593 


— 1.02 


5 


263 





+0.172 
—0.029 


—6.74 


—1 079 


+4.81 




28 


26.62 


5.270 


7 


527 


+ 1.76 


6 


292 


100 


6.96 


0.908 


5.27 




















200 


0.228 


7.11 


0.729 


5.69 




Sept. 7 


5.60 


5.761 


10 


454 


4.80 


7 


316 


300 


0.426 


7.21 


0.544 


6.06 




17 


15.57 


6.175 


12 


374 


8.05 


7 


333 


400 


0.619 


7.24 


0.354 


6.38 




27 


25.54 


6.508 


15 


290 


11.44 


8 


343 










Oct. 7 


5.51 


6.753 


18 


202 


14.89 


8 


347 




1870. 


1878. 




17 


15.49 


6.910 


20 


111 


18.35 


8 


344 





























— 0.5?4 


—7.24 


—0.418+6.27 




300, 27 


25.46 


6.975 


23 


+ 20 


21.74 


8 


333 


100 


0.744 


7.23 


0.226 


6.56 




Nov. 6 


4.43 


6.950 


25 


— 71 


24.98 


7 


314 


200 


0.926 


7.15 


-0.031 


6.79 




16 


14.40 


6.834 


27 


160 


27.99 


7 


287 


300 


1.100 


7.02 


+0.165 


6.97 




26 


24.38 


6.631 


28 


245 


30.70 


6 


254 


400 


1.264 


6.83 


0.361 


7.09 




Dec. 6 


4.35 


6.347 


29 


324 


33.04 


6 


212 




1871. 


1870. 




16 
26 
36 


14.32 
24.29 
34.27 


5.987 
5.563 

+5.089 


29 
29 

+28 


394 

452 

—494 


34.92 

36.31 

+37.15 


5 

4 

— 2 


165 
112 

+ 55 



100 
200 


—1.210 
1 367 
1.512 


—6.90 
6.67 
6.38 


+0.294 

0.487 
0.677 


+7.06 
7.14 
7.16 


















300 


1.644 


6.04 


0.862 


7.12 












400 


1.762 


5.64 


1.040 


7.02 














1873B. 


1S80 B. 






* c 


5 O, April 11.6. 














* c 


5 Mean Sun, April 11.9. 







—1.723 


—5.80 


+0.981 


+7.06 






* £ 


? Mean Sun, Oct. 11.5. 




100 


1.83J 


5.30 


1 . 153 


6.92 












200 


1.923 


4.89 


l:^17 


6.73 












300 


1.99U 


4.3s 


1.469 


6.47 












400 


—2.057 


—3.84 


+1.610 


+3.16 





SPECIAL TABLES. 



99 









TABLE XXIV.- 


-n Piscinm. 






h m 
R.A. 1 24.5. 




o / 

Dec. + 14 40. 


Upper transit at fictitious meridian. 








A Q a 






A <5 




Side- 
real 
Day. 


A Q a 


A Q<> 


A a a 


A a<M 


Sidereal Day. 


MeanDay. 






















1870. 


Var.in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

8 " 



















100 


+0.781 
0.704 


+1.16 
+0.49 


—1.026 
0.984 


—3.94 
3.37 




















8 






" 






200 


0.620 


—0.19 


0.934 


2.78 


0,Jan. 


— 0.72 


+0.336 


+ 3 


—Ill 


+ 3.70 


+ 1 


— 52 


300 


0.531 


0.87 


0.876 


2.16 


10 


+ 9-25 


0.219 


4 


122 


3.14 


2 


62 


400 


0.437 


1.54 


0.812 


1.52 


20 


19 23 


+0.093 


4 


129 


2.46 


2 


70 








30 


29.20 


-0.038 


4 


131 


1.74 


2 


75 




1866. 


1874. 


Feb. 9 


8.17 


0.166 


3 


125 


0.96 


2 


79 



























+0.469 


-1.32 


-0.834 


—1.74 


19 


18.14 


0.285 


2 


112 


+ 0.16 


3 


78 


100 


0.372 


1.98 


0.765 


1.10 


Mar. 1 


0.12 


0.388 


2 


91 


— 0.59 


3 


73 


200 


0.272 


2.62 


0.690 


—0.44 


11 


10.09 


0.465 


1 


62 


1.28 


2 


63 


300 


0.170 


3.24 


0.609 


+0.21 


21 


20.03 


0.511 


1 


— 28 


1.83 


2 


48 


400 


0.066 


3.84 


0.523 


0.86 


31 


30.03 


0.520 


+ 1 


+ 12 


2.23 


1 


31 




1867. 


1875. 


100, Apr. 10 
20 


9.01 

18.98 


0.487 
0.410 






55 
100 


2.44 

2.39 


+ 1 



— 9 
+ 17 



100 


+0.101 
-0.004 


—3.64 
4.22 


—0.552 
0.464 


+0.64 

1.28 


30 


28.95 


0.289 


— 1 


144 


2.09 





43 


200 


0.108 


4.75 


0.371 


1.92 


May 10 


8.93 


-0.122 


1 


189 


1.53 





69 


300 


0.211 


5.25 


0.27G 


2.53 


20 


18.90 


+0.087 


2 


228 


— 0.70 


— 1 


96 


400 


0.313 


5.69 


0.178 


3.13 


30 


28.87 


0.332 


2 


262 


+ 0.39 


1 


122 




1868 li. 


1876 B. 


June 9 


7.84 


0.608 


2 


289 


1.73 


2 


144 








19 


17.82 


0.907 


2 


308 


3.26 


3 


163 





—0.279—5.55 


—0.212 


+2.93 


29 


27.79 


1.222 


2 


319 


4.97 


3 


177 


100 


0.378 


5.96 


0.113 


3.51 i 


July 9 


7.76 


1.543 


2 


323 


6.79 


3 


187 


200 
300 


0.474 
0.566 


6.33 
6.63 


— 0.013 
+0.087 


4.06 

4.58 


200, 19 


17.73 


1.865 


3 


318 


8.69 


3 


193 


400 


0.653 


6.88 


0.186 5.06 


29 


27.71 


2.176 


3 


305 


10.62 


3 


192 








Aug. 8 


6.68 


2.473 


2 


287 


12.50 


3 


187 




1869. 


1877. 


18 
28 


16.65 
26.62 


2.749 
2.996 


1 
1 


262 
233 


14.34 
16.06 


3 
3 


179 
165 



100 


—0.624 

0.707 


—6.81 
7.01 


+0.152 
0.250 


+4.91 
5.36 


Sept. 7 
17 
27 


5.60 
15.57 
25.54 


3.215 
3.402 
3.555 


— 1 






203 
170 
137 


17.63 
19.03 
20.26 


3 
3 
3 


149 
132 
112 


200 
300 
400 


0.784 
0.853 
0.915 


7.16 
7.24 
7.26 


0.347 
0.440 
0.531 


5.77 
6.13 
6.45 


Oct. 7 


5.52 


3.676 


+ 1 


104 


21.27 


2 


91 




1870. 


1S78. 


17 


15.49 


3.764 


1 


71 


22.08 


2 


71 



























—0.895 


—7.26 


+0.501 


+6.35 


1 300, 27 


25.46 


3.819 


2 


41 


22.69 


2 


51 


100 


0.952 


7.24 


0.588 


6.62 


Nov. 6 


4.43 


3.846 


o 


+ 12 


23.12 


2 


33 


200 


1.000 


7.16 


0.671 


6.85 


16 


14.41 


3.844 


3 


— 15 


23.36 


I 


+ 15 


300 


1.040 


7.01 


0.749 


7.02 


26 


24.38 


3.817 


4 


39 


23.43 


1 


— 1 


400 


1.071 


6.81 


0.820 


7.12 


Dec. 6 


4.35 


3.767 


4 


62 


23.34 


1 


17 




1871. 


1879. 


16 


14.32 


3.694 


4 


84 


23.10 


_ 1 


31 








26 


24.30 


3.601 


5 


102 


22.73 





44 





— 1.C61 


—6.88 


+0.797 


+7.09 


33 


34.27 


+3.492 


+ 5 


—115 


+22.23 





— 56 


100 
200 
300 
400 


1.086 
1.101 
1.107 
1.103 


6.64 
6.34 
5.99 
5.59 


0.864 
0.924 
0.976 
1.021 


7.16 

7.18 


1 
















7.13 

7.02 


( 


















1872 B. 


1880 B. 


1: 
1 


* 6 


0, 


A 


pril 12. 


4. 









—1.106—5.73 


+1.007 +7.06 




* d 


Mean Su 


n, A 


pril 12. 


6. 






100 

200 
300 


1.096 
1.077 
1.049 


5.30 

4.82 1 
4.31 


1.046 
1.073 
1.094 


6.91 
6.71 
6.44 


j 
















400j— 1.013 


—3.76 


+1.109 


+6 12 


L 


..of C. 

























100 



SPECIAL TABLES. 



TAB1E XXIV.-a Eridani. 



h ra 
RA. 1 32.9. 



o / 

Dec. — 57 54. 



Upper transit at fictitious meridian. 



Sidereal Day. Mean Day 



0, Jan 





10 

20 

30 

Feb. 9 

19 
Mar. 1 
11 
21 
31 

100, Apr. 10 

20 

30 

May 10 

20 

30 

June 9 

19 

29 

July 9 



200 



19 
29 

Aug. 8 
18 
SS 

Sept. 7 
17 
27 

Oct. 7 
17 



300, 27 

Nov. 6 

16 

26 

Dec. 6 

16 
26 
36 



A Q « 



1870. 



Var. in 
10 y. 



- 0.71 

+ 9.26 

19.23 

29.20 

8.18 

18.15 

0.12 

10.09 

20.07 
30.04 

9.01 

18.99 

28.96 

8.93 

18.90 

28.83 

7.85 

17.82 

27.79 

7.77 

17.74 

27.71 

6.69 

16.66 

*6.63 

5.60 
15 58 
25.55 

5.52 
15.49 

25.47 

4.44 

14.41 

24.38 

4.36 

14.33 

24.30 

34.28 



Diff. foi- 
10 d. 



+0.611 

+0.285 

-0.048 

0.378 

0.692 

0.983 
1.239 
1.453 
1.615 
1.718 

1.756 
1.727 
1.627 
1.456 
1.218 

0.916 

0.557 

-0.153 

+0.291 

0.760 

1.239 
1.718 
2.184 
2.622 
3.022 

3.372 
3.666 
3.894 
4.054 
4.142 

4.159 
4.109 
3.994 
3.823 
3.602 

3.339 
3.044 

+2.725 



+ 4 
4 
4 
4 
5 

5 
5 
4 
4 
3 

2 
2 
1 

+ 3 


- 1 
1 

2 
3 
4 

5 
5 
6 
6 
6 

6 
6 
5 
5 
4 

3 

2 
1 

— 1 




+ 2 



A ©<> 



1870. 



—321 
331 
333 
324 
304 

275 
236 
189 
133 
71 

— 5 

+ 64 
136 
205 
271 

332 
383 
426 
459 
476 

481 
475 
454 
421 
377 

323 
262 
195 
124 

+ 52 

- 17 
83 
144 
197 
243 

281 
309 
-326 



Var. in 
10 y. 



Diff. for 
10 d. 



-17.51 
17.94 

17.80 
17.09 
15.86 

14.11 

11.90 

9.31 

6.37 

— 3.16 

+ 0.26 
3.81 
7.41 

11.00 
14.49 

17.80 
20.86 
23.58 
25.91 
27.79 

29.15 
29.97 
30.24 
29.92 
29.03 

27.63 
25.75 
23.45 

20.85 

18.02 

15.07 

12.15 

9.35 

6.79 

4.56 

2.77 
1.46 

+ 0.68 



+ 1 




— 1 

2 
2 
2 
3 
3 

3 
4 
4 
4 

4 

3 
3 
2 
2 
1 

1 

- 1 



+ 1 
1 

2 
2 
2 
2 
2 

2 
2 
2 

2 
+ 1 







- 71 

15 

+ 43 

97 

150 

199 
241 

278 
309 
333 

350 
359 
361 
355 
341 

320 
290 
254 
212 
163 

110 
+ 55 

— 2 
61 

115 

165 

210 
247 
273 
291 

296 
288 
270 
241 
202 

156 

105 
- 49 



* d 0, 

>k 6 Mean Sun, 



April 14.7. 
April 14.7. 



Side- 
real 
Day, 



k Q a 



A Q<* 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 

400 




100 
200 
300 
400 




100 
200 
300 
400 



1865 

-0.270 
377 
0.481 
0.581 
0.676 



+0.85 
+0.17 
—0.52 

1.20 

1.87 



—0.230 
0.123 
0.016 

+0.092 
0.199 



1866. 



-0.644 
0.735 

0.820 
0.898 
0.967 



-1.64 
2.30 
2.95 
3.56 
4.15 



1867. 



-0.945 
1.008 
1.064 
1.111 
1.147 



-3.95 
4.52 
5.04 
5.51 
5.94 



1S68 B. 



—1.135 
1.165 
1.184 
1.193 
1.192 



-5.81 
6.20 
6.54 
6.82 
7.04 



A n a 



A n<5 



1873. 



•3.71 
3.12 
2.51 

1.87 
1.23 



1874. 



+0.163 
0.268 
0.371 
0.470 
0.566 



—1.45 

0.79 

—0.14 

+0.52 

1.18 



1875. 



+0.534 
0.627 
0.714 
0.795 

0.870 



+0.96 
1.60 
2.24 
2.85 
3.44 



1876 B. 



1869. 



-1.193 
1.185 
1.167 
1.138 
1.100 



-6.98 
7.16 
7.2 
7.33 
7.32 



1870. 



-1.114 

1.069 
1.016 
0.953 

0.883 



-7.33 

7.28 
7.1 
6.99 
6.76 



+0.846 
0.916 
0.978 
1.032 
1.078 



+1.063 
1.103 
1.134 
1.156 
1.168 



1871. 



-0.908 
0.833 
0.751 
0.662 
0.569 



—6.84 
6.57 
6.24 
5.86 
5.43 



1872 B. 



-0.601 
0.504 
0.404 
0.300 

-0.194 



-5.58 
5.13 
4.63 
4.09 

—3.52 



+3.24 
3.81 
4.35 

4.86 
5.32 



1877. 



+5.17 
5.61 
6.00 
6.34 
6.63 



1878. 



+1.165 
1.171 
1.167 
1.154 
1.131 



+6.54 
6.80 
6.99 
7.14 

7.22 



1879. 



+1.140 
1.110 
1.072 
1.024 

0.968 



+7.20 
7.24 
7.22 
7.14 
7.01 



1880B. 



+0.988 
0.926 
0.856 

0.778 
+0.694 



+7.06 
6.88 
6.65 
6.35 

+6.00 



SPECIAL TABLES. 



101 



TABLE XXIV— o Piscinm. 

O / 

Dec. + 8 30. 



h m 
R.A. 1 38.5. 



Upper transit at fictitious meridian. 



Sidereal Day. Mean Day 



0, Jan. 

10 

20 

30 

Feb. 9 

19 
Mar. 1 
11 
21 
31 

100, Apr 10 

20 

30 

May 10 

20 

30 

June 9 

19 

29 

July 9 



200, 



AU2. 



Sept. 7 
17 
27 

Oct. 7 
17 

300, 27 

Nov. 6 

16 

26 

Dec. 6 

16 

26 



— 0.71 

+ 9.26 

19.24 

29.21 

8.18 

18.15 
0.13 
10.10 
20.07 
30.04 

9.02 
18.99 
28.96 

8.93 
18.91 

28.88 

7.85 

17.83 

27.80 

7.77 

17.74 

27.72 

6.69 

16.66 

26.63 

5.61 

15.58 

25.55 

5.53 

15.50 

25.47 

4.44 

14.42 

24.39 

4.36 



v O a 



1870. 



Var.in'Diff.foi 
10 y. j 10 d. 



14.33 
24.31 
34.28 



+0.407 
0.295 
0.172 

+0.044 

-0.084 

0.207 
0.315 
0.401 
0.459 
0.480 

0.461 

0.402 

0.296 

-0.146 

+0.046 

0.275 
0.536 
0.823 
1.127 
1.442 

1.756 

2.066 
2.363 
2.640 
2.894 

3. J 20 
3.315 
3.479 
3.610 
3.710 

3.779 
3.819 
3.S30 
3.815 
3.776 

3.713 

3.629 
+3.527 



A Q (5 



1870. 



Var. in 
10y. 



Diff foi- 
10 d. 



+ 3 
4 
4 
3 
3 

2 
2 
2 
1 
1 

+ 1 



— 1 

1 

2 
2 

o 

2 
2 

3 
2 
2 
2 
1 

1 

— 1 




+ 1 

2 

2 
3 
3 
3 

4 
4 

+ 5 



-104 
118 
126 
129 
127 

117 

98 

73 

40 

— 2 

+ 38 

82 

128 

171 

211 

246 
275 
297 
311 
316 

313 

305 
288 
266 
240 

211 

180 
147 
115 

84 

54 
+ 25 
— 2 
27 
51 

74 

94 

•109 



+ 1.49 

0.88 

{+ 0.24 

0.40 

1.01 

1.57 
2.06 
2.41 
2.63 
2.68 

2.52 

2.13 

1.49 

- 0.61 

+ 0.50 

1.85 

3.37 
5.06 
6.86 
8.73 

10.62 
12.47 
14.24 

15.88 
17.36 

18.65 
19.72 
20.58 
21.21 
21.63 

21.84 

21.88 
21.76 
21.50 
21.13 

20.66 

20.13 

+19.53 



+ 2 
2 

2 

2 
2 

2 
1 
1 
1 
f 1 







1 
1 

2 
2 
3 

3 
3 
3 
3 
3 

3 
3 
3 

2 
2 

2 
2 

1 
1 
1 

1 






— 59 
63 
64 
63 
59 

53 
43 
31 

— 14 

+ 7 

27 
51 
76 
100 
123 

144 
161 
175 

184 
188 

187 
181 
171 
157 
139 

118 

97 
75 
52 
31 

+ 12 

— 4 

20 
32 
42 

50 
57 

— 62 



Side- 
real 
Day. 



* 6 0, 

;fc 6 Mean Sun, 



April 16.2. 
April 16.2. 




100 
200 
300 

400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 



100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 



+0.719+0.64 
" 






+0. 
0, 

a 

+<>, 
a 



A n a 



A ^ 



1865. 



.639 
.553 
.463 
.368 



—005 
0.73 
1.41 

2.09 



1866. 

400 
308 
203 
102 

000 



-1.86 
2.52 
3.16 

a 77 

4.35 



186: 



+0.034 
0.068 
0.170 

0.270 
0.368 



-4.16 
4.71 
5.22 
5.69 
6.11 



1868 B. 



-0.335 
0.431 
0.523 
0.610 
0.691 



A ^ 



1873. 



-0.981 
0.935 
0.881 
0.820 
0.751 



-3.55 
2.95 
2.32 

1.68 
1.02 



1874. 



-0.775 
0.703 
0.626 
0.543 
0.456 



—1.24 

—0.59 

+O.08 

0.74 

1.40 



—5.97 
6.35 
6.68 
6.94; 

7.15 



1875. 

-0.486+1.18 
0.396! 1.82 
0.3C41 2.45 
0.209J 3.06 
0.112[ 3.65 

1876 B. 



—0.145 
047 

+0.051 
0.148 



1869. 



-0.665 
0.742 
0.813 
0.877 
0.933 



—7.09 
7.25' 
7.35 
7.38 
7.35 



1870. 



-0.915 
0.965 
1.007 
1.041 
1.065 



-7.37 
7.30 
7.17 

6.97 
6.72 



1871. 



-1.058 
1.076 
1.085 
1.085 
1.076 



—6.81 
6.52 
6.17 
5.77 
5.32 



1872 B. 



—1.080 
1.064 
1.040 
1.007 

—0.966 



-5.48 
5.01 
4.49 
3.94 

—3.35 



+3.46 
4.02 
4.55 

5.05 



0.244 5.50 



1877. 



+0.212 
0.307 
0.400 
0.489 
0.575 



+5.36 
5.78 
6.16 
6.49 
6.76 



1878. 



+0.546 
0.629 
0.707 
0.779 
0.845 



+6.68 
6.91 
7.09 

7.22 
7.28 



1879. 



+0.823 
0.885 
0.939 
0.985 
1.023 



+7.26 
7.29 
7.25 
7.15 
6.99 



1880 B. 

+1.012+7.05 
1.044 ! 6.85 
3.068 6.60 
1.083 6.28 

+1.089+5.92 



102 



SPECIAL TABLES. 





































TABLE XXIV.- 


-p Arietis. 






h m 

R.A. 1 47.5. 


/ 

Dec. + 20 10. 


Upper transit at fictitious meridian. 








A a 






A d 




Side- 
real 


A Q a 


A Q<* 


A Q a 


A ^ 


Sidereal Day. 


Mean Day. 














Day. 
































1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s 


1873. 

s " 




















100 


+0.843 
0.765 


+0.31 
—0.39 


—1.080 
1.040 


-3.29 
2.67 






















s 






// 






200 


0.681 


1.08 


0.992 


2.03 


0,Jan. 


— 0.70 


+0.489 


+ 4 


—110 


+ 5.32 


+ 1 


— 33 


300 


0.591 


1.76 


0.935 


1.37 


10 


+ 9.27 


0.371 


4 


127 


4.91 


1 


49 


400 


0.495 


2.43 


0.871 


0.70 


20 


19.24 


0.238 


3 


137 


4.35 


2 


62 








30 


29.21 


+0.099 


3 


142 


3.67 


2 


74 




1866. 


1874. 


Feb. 9 


8.19 


—0.043 


3 


142 


2.83 


2 


83 



























+0.528 


—2.21 


—0.894 


-0.93 


19 
Mar. 1 


18.16 
0.13 


0.181 
0.303 


3 
3 


131 
112 


2.02 
1.13 


2 
3 


83 
89 


100 
200 


0.429 
0.327 


2.87 
3.50 


0.825 
0.750 


—0.26 
+0.42 


11 


10.10 


0.403 


2 


87 


+ 0.26 
— 0.54 


3 


84 


300 


0.22-2 


4.10 


0.663 


1.08 


21 


20.08 


0475 


+ 1 


52 


2 


76 


400 


0.115 


4.67 


0.582 


1.74 


31 


30.05 


0.507 





— 11 


1.24 


2 


62 




1867. 


1875. 


100, Apr. 10 


9.02 


0.496 





+ 33 


1.76 


2 


42 





+0.151 


—4.48 


-0.612 


+1.52 


20 


19.00 


0.440 





79 


2.08 


1 


— 22 


100 


+0.043 


5.02 


0.522 


2.16 


30 


28.97 


0.337 


— 1 


127 


2.17 


+ 1 


+ 3 


200 


—0.065 


5.52 


0.428 


2.79 


May 10 


8.94 


—0.186 


1 


173 


1.93 





31 


300 


0.173 


5.96 


0.330 


3.40 


20 


18.91 


+0.008 


1 


216 


1.53 





59 


400 


0.279 


6.36 


0.230 


3.97 


30 


28.89 


0.245 


2 


254 


- 0.81 





86 




1868 B. 


1876 B. 


June 9 


7.86 


0.514 


2 


284 


+ 0.18 


— 1 


111 








19 


17.83 


0.811 


2 


307 


1.41 


2 


134 





—0.243 


—6.23 


—0.264+3.78 


29 


27.80 


1.126 


2 


322 


2.85 


2 


154 


100 


0.348 


6 59 


0.163 


4.34 


July 9 


7.78 


1.453 


2 


329 


4.47 


2 


168 


200 
300 


0.449 
0.546 


6.89 
7.13 


—0.060 
+0.044 


4.86 
5.33 


200, 19 


17.75 


1.782 


2 


328 


6.20 


3 


179 


400 


0.638 


7.30 


0.147 


5.77 


29 


27.72 


2.106 


2 


320 


8.03 


3 


185 








Aug. 8 


6.70 


2.419 


2 


304 


9.89 


3 


188 




1869. 


1877. 


18 
28 


16.67 
26.64 


2.711 

2.981 


2 
1 


282 
257 


11.74 
13.54 


4 

4 


183 
176 



100 
200 


—0.608 
0.696 

0.778 


—7.25 
7.39 
7.45 


+0.112 
0.215 
0.316 


+5.64 
6.04 
6.40 


Sept. 7 


5.61 


3.223 


— 1 


228 


15.24 


4 


164 


300 


0.854 


7.46 


0.414 


6.70 


17 


15.59 


3.436 





197 


16.81 


4 


151 


400 


0.921 


7.40 


0.510 


6.95 


27 


25.56 


3.616 


+ 1 


164 


18.25 


4 


136 










Oct. 7 


5.53 


3.764 


1 


131 


19.53 


4 


119 




1870. 


1878. 


17 


15.50 


3.879 


2 


99 


20.62 


4 


101 



























—0.899 


-7.43 


+0.478 


+6.87 


300, 27 


25.48 


3.962 


2 


68 


21.54 


3 


83 


100 


0.962 


7.32 


0.570 


7.08 


Nov. 6 


4.45 


4.016 


3 


38 


22.28 


3 


64 


200 


1.015 


7.16 


0.659 


7.24 


16 


14.42 


4.038 


4 


+ 8 


22.83 


3 


46 


300 


1.060 


6.93 


0.741 


7.33 


26 


24.39 


4.032 


4 


— 20 


23.21 


3 


29 


400 


1.096 


6.64 


0.819 


7.36 


Dec. 6 


4.37 


3.998 


5 


48 


23.41 


2 


+ 11 




1871. 


1879. 


16 

26 

36 


14.34 
24.31 
34.29 


3.937 

3.853 

+3.746 


5 

5 

+ 5 


73 

96 

—116 


23.44 

23.29 

+22.99 


2 

1 

— 1 


— 7 
23 

— 39 



100 
200 
300 
400 


—1.085 
1.115 

1.135 
1.145 
1.146 


—6.75 
6.42 
6.05 
5.62 
5.15 


+0.793 
0.866 
0.932 
0.990 


+7.36 
7.35 

7.28 
7.15 
















1.039 


6^96 


















1872 B. 


1880 B. 




* 


6 0, 


J 


Lpril 18.6. 














* 


6 Mean £ 


5un, A 


ipril 18.4. 







100 
200 
300 


—1.147 
1.141 

1.125 
1.101 


—5.31 

4.81 
4.27 
3.69 


+1.024 
1.068 
1.103 
1.129 


+7.03 
6.80 

—6.52 
6.17 
















400 


—1.067—3.091 


+1.146+5.77 






















• 







SPECIAL TABLES. 



103 





TABLE XXIV.— *50 Cassiope:e. 


1 


h m 

R.A. 1 52.4. 


/ 

Dec. + 71 47. 


Upper transit at fictitious meridian. 












Side- 








\ Sidereal Day. 


Mean Day. 


A a 




V 


real 
Day. 


A Q a 


A o¥ 


A Q« 


A a d 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

s 



















100 


+2.362+0.14 
2.316—0.56 


—2.284 
2.328 


—3.15 

2.52 


; 
















I 




s 






// 






200 


2.250J 1.26 


2.353 


1.87 


0, Jan. 


— 0.70 


+1.584 


+19 


—507 


+17.71 


- 2 


+ 121 


300 


2.1641 1.94 


2.358 


1.20 


30 


+ 9.27 


1.049 


19 


561 


18.64 


— 1 


64 


400 


2.059; 2.61 


2 343 


0.53 


i 20 


19.24 


+0.471 


17 


592 


18.98 


+ 1 


+ 5 








30 


29.22 


—0.128 


16 


600 


18 75 


2 


— 53 




I860. 


1874. 


Feb. 9 


8.19 


0.722 


14 


582 


17.93 


3 


109 





-f-2.096| — 2.39 


—2.350 


—0.75 


19 


18.16 


1.282 


11 


536 


16.59 


4 


160 


100 


1.979 


3.05 


2.323 


—0 08 


Mar. 1 


0.14 


1.786 


8 


467 


14.77 


5 


203 


200 


1.844 


3.6^ 


2.276 


+0.60 


11 


10.11 


2.209 


5 


375 


12.55 


5 


238 ! 


300 


1.694 


4.27 


2.211 


1.27 


21 


20.08 


2.530 


+ 2 


264 


10.04 


6 


262 


400 


1.528 


4.83 


2.128 


1.92 


31 


30.05 


2.733 


— 1 


140 


7.34 


6 


276 




1867. 


1875. 


100, Apr. 10 


9.03 


2.807 


4 


— 7 


4.56 


6 


278 





+ 1.585 


—4.65 


-2.158 4-1.70 


20 


19.00 


2.745 


6 


+130 


+ 1.81 


6 


270 


100 


1,41 J 


5.18 


2.063 


2.35 


30 


28.97 


2.548 


8 


263 


— 0.80 


6 


251 


200 


1.224 


5.67 


1951 


2.98 


May 10 


8.94 


2.221 


10 


389 


3.18 


5 


223 


300 


1.026 


6.11 


1.823 


3.58 


20 


18.92 


1.774 


11 


503 


5.24 


5 


188 


400 


0.820 


6.49 


1.680 4.15 


30 


28.89 


1.219 


11 


602 


6.91 


4 


146 




1868 B. 


1876 B. 


June 9 


7.86 


—0.575 


11 


684 


8.15 


3 


100 








19 


17.84 


+0.141 


10 


746 


8.90 


+ 1 


51 





+0.890 


—6.37 


—1.730+3.97 


29 


27.81 


0.909 


9 


787 


9.17 





— 1 


100 


0.679 


6.71 


1.578 


4.51 


July 9 


7.78 


1.709 


8 


809 


8.93 


— 1 


+ 49 


200 
300 


0.462 
0.242 


7.00 
7.22 


1.413 
1.235 


5.03 
5.50 


♦200, 19 


17.75 


2.520 


6 


812 


8.19 


2 


98 


400 


0.020 


7.38 


1.048 


5.91 


29 


27.73 


3.324 


— 3 


795 


6.98 


4 


144 








Aug. 8 


6.70 


4.104 





763 


5.32 


5 


187 




1869. 


1877. 


18 
28 


16.67 
26.64 


4.845 
5.531 


+ 3 
6 


716 
656 


3.25 

— 0.81 


6 

7 


226 
260 



100 
200 


+0.095 

—0.127 

0.347 


-7.34 

7.45 
7.51 


—1.112+5.79 
0.9191 6.18 
0.718! 6.52 


Sept, 7 


5.62 


6.152 


10 


585 


+ 1.94 


8 


289 


300 


0.564 


7.50 


510 6.82 


17 


15.59 


6.698 


13 


505 


4.95 


9 


312 


400 


0.776 


7.4-2 


0.298; 7.05 


27 


15 56 


7.160 


17 


418 


8.16 


9 


329 








Oct. 7 


5.53 


7.532 


21 


324 


11.52 


10 


340 




1870. 


1878. 


17 


15.51 


7.806 


24 


225 


14.94 


10 


343 



























—0.705 


—7.45 


—0.370+6.98 


300, 27 


25.48 


7.980 


27 


122 


18.36 


10 


340 


100 


0.912 


7.33 


—0.155, 7.17 


Nov. 6 


4.45 


8.050 


30 


+ 17 


21.71 


10 


328 


200 


1.111 


7.15 


+0.061 7.31 


16 


14.43 


8.014 


33 


— 89 


24.89 


9 


309 


300 


1.299 


6.90 


0.277' 7.39 


26 


24.40 


7.873 


35 


192 


27.85 


9 


281 


400 


1.476 


6.60 


0.492 7.41 


Dec. 6 


4.37 


7.630 


36 


292 


30.50 


8 


246 




1871. 


1879. 


16 
26 
36 


14.34 
24.32 
34.29 


7.291 

6.866 
+6.367 


37 

38 
+38 


384 

465 
—529 


32.75 

34.54 

+35.81 


7 

6 

— 5 


203 
154 

+100 



100 
200 
300 


—1.418 

1.586 
1.740 

1.880 


-6.71 
6.37 

5.98 
5.53 


+0.420 
0.632 
0.840 
1.041 


+7.41 

7.38 
7 30 
■7 i^ 








400 


2^003 


5. 05 


L234 6^94 










1873 B. 


18SOB. 




* 6 0, April 20.1. 












* 6 Mean Sun, April 19.8. 







—1.964—5.22 


+1.170+7.02 




* 8 Mean Sun, Oct. 19.4. 




100 


2.075! 4.70 


1.357 6.77 








200 


2.169 4.14 


1.533! 6.46 








300 


2.245 3.56 


1.694 6.10 








400 


—2.302—2.94 


+1.845;+5.69 





























104 



SPECIAL TABLES. 







TABLE XXIV. 


-£ 1 Ceti. 




h 

R.A. 2 


m 

6.1. 




o / 

Dec. + 8 14. 




Upper transit at fictitious 


meridian. 




t A O a 




A o* 




Side- 
real 


A a a 


^ 


A Q a 


A Q f > 




B 










Day. 










Sidereal Day. 


VTpfin Tjtv 1 - — 




















ultaLl UiXJf • 


1870. 


Var. in 

10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 

s " 



















100 


+0.716 
0.635 


—0.39 

1.09 


-0.983—2.74 
















0.935 


2.08 




1 K 






" 






200 


0.549 


1.79 


0.880 


1.40 


0,Jan. 


— 0.69 +0.561 


+ 3 


— 96 


+ 1.22 


+ 1 


— 59 


300 


0.458 


2.48 


0.818 


0,72 


10 


+ 9.28 0.457 


3 


114 


0.62 


1 


60 


400 


0.362 


3.14 


0.749 


0.03 


20 


19.25 1 0.335 


3 


128 


+ 0.03 


1 


59 








30 


29.23 0.203 


3 


136 


— 0.56 


1 


59 




1S66. 


1874. 


Feb. 9 


8.20 


+0.066 


3 


138 


1.14 


2 


55 





+0.395 


-2.92 


—0.773 


-0.26 


19 


18.17 


—0.070 


3 


132 


1.65 


2 


48 


100 


0.297 


3.57 


0.701 


+0.43 


Mar. 1 


0.15 


0.195 


2 


118 


2.09 


2 


38 


200 


0.196 


4.19 


0.622 


1.11 


11 


10.12 


0.303 


2 


96 


2.40 


1 


26 


300 


+0.094 


4.77 


0.539 


1.78 


21 


20.09 


0.384 


2 


66 


2.59 


1 


— 12 


400 


—0.008 


5.3i 


0.451 


2.44 


3J 


30.06 


0.432 


+ i 


— 30 


2.63 


+ 1 


+ 6 




1867. • 


1875. 


100, Apr. 10 


9.04 


0.442 





+ n 


2.47 





27 





+0.026 


—5.13 


—0.481 


+2.22 


20 


19.01 


0.408 





56 


2.08 





49 


100 


—0.077 


5.64 


0.391 


2.86 


30 


28.98 


0.329 


— 1 


102 


1.49 


— 1 


71 


200 


0.179 


6 10 


0.298 


3.48 


May 10 


8.95 


0.205 


1 


146 


— 0.68 


1 


94 


300 


0.280 


6.50 


0.202 


4.07 


20 


18.93 


—0.038 


1 


138 


+ 0.39 


1 


117 


400 


0.378 


6.85 


0.105 


4.63 


30 


28.90 


+0.170 


1 


226 


1.67 


2 


138 




1868 B. 


1876 B. | 


June 9 


7.87 


0.413 


2 


259 


3.11 


2 


153 








19 


17.84 


0.685 


2 


284 


4.73 


2 


167 





—0.345 


—6.74 


—0.138 


+4.44 


29 


27.82 


0.978 


2 


301 


6.44 


3 


176 


100 


0.441 


7.05 


—0.039 


4.98 


July 9 


7.79 


1.285 


2 


312 


8.23 


3 


181 


200 
300 


0.533 
0.620 


7.29 

7.48 


+0.059 
0.157 


5.46 
5.91 


200, 19 


17.76 


1.599 


3 


314 


10.05 


3 


180 


400 


0.701 


7.59 


0.253 


6.31 


29 


27.74 


1.910 


3 


308 


11.82 


3 


173 








Aug. 8 


6.71 


2213 


2 


296 


13.50 


3 


164 




1869. 


1877. 


18 
28 


16.68 
26.65 


2.501 
2.769 


1 

1 


279 
257 


15.08 
16.49 


3 
3 


150 
132 



100 


—0.675 

0.752 


-7.56 
7.64 


+0.221 
0.316 


+6.19 
6.55 


Sept. 7 


5.63 


3.014 


1 


232 


17.71 


3 


112 


200 
300 


0.823 

0.886 


7.64 

7.58 


0.409 
0.499 


6.86 
7.11 


17 


15.60 


l 3.232 


1 


203 


1*.73 


3 


90 


400 


0.942 


7.45 


0.585 


7.31 


27 


25.57 


1 3.419 


— 1 


173 


19.51 


3 


67 








Oct. 7 


5.54 


I 3.578 





144 


20.08 


3 


46 




1870. 


1878. 


17 


15.52 


3.706 


+ 1 


112 


20.43 


3 


25 



























—0 924 


-7.50 


+0.556+7.25 1 


300, 27 


25.49 


3.803 


1 


81 


20.59 


3 


+ 7 


100 


0.974 


7.33 


0.639 


7.40 


Nov. G 


4.46 


1 3.869 


2 


52 


20.57 


3 


— 10 


200 


1.016 


7.10 


0.717 


7.50 


1G 


14.44 


3 908 


3 


+ 24 


20.40 


3 


24 


300 


1.048 


6.81 


0.789 


7.53 


26 


24.41 


3.917 


3 


— 5 


20.10 


2 


36 


400 


1.072 


6.46 


0.854 


7.50 


Dec. 6 


4.38 


3.899 


3 


32 


19.69 


2 


45 




1871. 


1870. 


16 
26 
36 


14.35 
24.33 
34.30 


3.854 

3.786 

+3.694 


4 

4 

+ 4 


57 

80 

—102 


19.21 

18.66 
+18.09 


2 

1 

— 1 


52 

56 

— 59 



100 
200 
300 


—1.065 
1.083 
1.091 
1.090 


—6.59 
6.20 
5.76 

5.28 


+0.833 
0.894 
0.948 
994 


+7.52 
7.45 
7.31 
7.12 1 














400 


l!o80 


4^75 


1.031 


6.86 
















1872 B. 


1880 B. | 




*dO, 


April ! 


23.6. 









—1.084—4.93 


+1.020 


+6.96 




%. 6 Mean Sun, 


April ! 


23.2. 






100 
200 
300 


1.068 
1.043 
1.009 


4. 38 
3.79 
3.17 


1.052 
1.075 

1.089 


6.66 
6.31 
5.91 


1 












400 


—0.967 —2.52 


+1.094 


+5.45 



SPECIAL TABLES. 



105 







TABLE XXIV.-* 


i Cassiopeae. 


j 




R.A. 2 


m 

18.4. 


/ 

Dec. + 66 49. 




1 

Upper transit at fictitious meridian. 










A a 






A Q c5 


Side- 
1 real 


A a a 


A Q d 


A Q a 


A & 




! Sidereal Day. 

I 


MeanDay. 












jDay. 












1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 

10 y. 


Diff. for 
10 d. 




1865. 

s 


1873. 

s 





















100 


+ 1.956 

1.889 


—0.83 
1.55 


—2.016 
2.026 


—2.36 

1.68 






















1 




s 






it 






200 


1.806 


2.25 


2.019 


0.99 




0,Jan. 


— 0.68 


+1.616 


+14 


-346 


+16.13 


— 2 


+134 


300 


1.706 


2.93 


1.996 


—0.29 




10 


+ 9.29 


1.241 


14 


401 


17.22 


— 1 


83 


400 


1.592 


3.59 


1.956 


+0.41 




20 


19.26 


0.820 


14 


440 


17.79 





+ 29 










30 


29.24 


+0.368 


13 


460 


17.80 


+ 1 


— 26 




1866. 


1874. 




Feb. 9 


8.21 


—0.093 


12 


460 


17.27 


2 


80 





























+1.632 


—3.37 


—1.971 


+0.17 




19 


18 18 


0.544 


10 


438 


16.22 


3 


.128 


100 


1.508 


4.01 


1.921 


0.87 




Mar. 1 


0.15 


0.961 


9 


395 


14.71 


4 


173 


200 


1.371 


4.62 


1.854 


1.56 




11 


10.13 


1.326 


7 


331 


12.79 


5 


209 


300 


1.222 


5.18 


1.773 


2.24 




21 


20.10 


1.618 


4 


251 


10.56 


5 


236 


400 


1.062 


5.70 


1.677 


2.89 




31 


30.07 


1.823 


+ 2 


157 


8.11 


6 


253 




1867. 


1875. 




100, Apr. 10 


9.05 


1.928 





— 53 


5.54 


6 


259 





+1.117 


—5.53 


—1.711 


+2.67' 




20 


19.02 


1.927 


— 2 


+ 56 


2.96 


6 


256 


100 


0.951 


6.02 


1.606 


3.31 




30 


28.99 


1.816 


4 


165 


+ 0.46 


5 


242 


200 


0.776 


6.45 


1.488 


3.93 




May 10 


8.96 


1.598 


5 


271 


— 1.85 


5 


219 


300 


0.595 


6.83 


1.357 


4.51 




20 


18.94 


1.278 


6 


369 


3.89 


4 


189 


400 


0.409 


7.15 


1.215 


5.05 




30 


28.91 


0.864 


7 


456 


5.61 


3 


152 




1868 B. 


1876 B. 




June 9 


7 88 


—0.371 


7 


530 


6.92 


2 


111 










19 


17.85 


+0.190 


7 


589 


7.81 


+ 1 


66 





+0.472 


—7.05 


—1.264 


+4.87 




29 


27.83 


0.801 


7 


632 


8.24 





— 20 


100 


0.284 


7.32 


1.116 


5.38 




July 9 


7.80 


1.448 


6 


659 


8.21 


— 1 


+ 27 


200 
300 


+0.093 
—0.098 


7.53 

7.68 


0.958 
0.793 


5.85 
6.27 




200, 19 


17.77 


2.113 


5 


670 


7.71 


2 


73 


400 


0.288 


7.76 


0.620 


6.64 




29 


27.74 


2.783 


4 


666 


6.76 


3 


116 










Aug. 8 


6.72 


3.441 


3 


648 


5.39 


4 


157 




1869. 


1877. 




18 
28 


16 69 
26.66 


4.075 
4.675 


— 1 

+ 2 


619 
579 


3.63 
— 1.51 


5 

7 


195 

228 



100 


—0.224 
0.413 


—7.74 

7.77 


—06791+6.53 
0.503 6.86 




Sept. 7 


5.63 


5.229 


4 


529 


+ 0.92 


8 


257 


200 
300 


0.597 
0.775 


7.73 
7.63 


0.323 7.14 

—0.140 7.36 




17 

27 


15.61 

25.58 


5.730 
6.169 


6 
9 


471 

406 


3.62 
6.52 


8 
9 


281 

299 


400 


0.947 


7.46 


-+0.045| 7.52 




Oct. 7 


5.55 


6.541 


11 


336 


9.59 


9 


312 




IS 70. 


1S78. 




17 


15.53 


6.840 


14 


261 


12.74 


10 


318 





























—0.890 


—7.53 


—0.017 


+7.47 




300, 27 


25.50 


7.062 


16 


182 


15.92 


10 


318 


100 


1.056 


7.32 


+0.168 


7.59 




Nov. 6 


4.47 


7.203 


19 


100 


19.07 


10 


310 


200 


1.212 


7.04 


0.352 


7.65 




16 


14.44 


7.261 


21 


+ 15 


22.10 


10 


296 


300 


1.357 


6.71 


0.534 


7.64 




26 


24.42 


7.234 


23 


— 70 


24.96 


9 


274 


400 


1.491 


6.32 


0.712 


7.57 




Dec. 6 


4.39 


7.122 


25 


153 


27.55 


9 


244 




1871. 


1879. 




16 
26 
36 


14.36 
24.33 
34.31 


6.929 

6.659 

+6.321 


26 

27 

+27 


233 

306 
—368 


29.82 

31.68 

+33.09 


8 

7 

— 6 


208 

164 

+116 



100 
200 
300 


—1.447 
1.572 
1.684 

1.780 


—6.46 
6.03 
5.56 
5.03 


+0.652 
0.827 
0.995 
1.154 


+7.60 
7.49 
7.31 

7.07 














400 


1.862 


4^7 


L305 


6l77 
















1872 B. 


18SO B. 






* 6 0, 




April 26 9. 














>j< 6 Mean S 


un, 


April 26.3. 







—1.836 


—4.67 


+1.256!+6.88 




i 


>fc 8 Mean S 


un, 


Dct. 25.9. 




100 


1.907 


4.08 1 1.399 6.54 














200 


1.962 


3.46! 1.532 


6.15 














300 


2.000 


2.8l!i 1.652 


5.71 














400—2.021 

1 


— 2.14 l j+1.758;+5.2l 

ll ! 

































106 



SPECIAL TABLES. 



h m 
R.A. 2 36.6 



TABLE XXIV.— y Ceti. 

o / 

Dec. + 2 41. 



Upper transit at fictitious meridian. 



Sidereal Day. 



MeanDay 



0,Jan. 

10 

20 

30 

Feb. 9 

39 
Mar. 1 
11 
21 
31 



100 


, Apr. 10 




20 




30 




May 10 




20 




30 




June 9 




19 




29 




July 9 



200, 19 

29 

Aug. 8 

18 
28 

Sept. 7 
17 
27 

Oct. 7 
17 

300, 27 

Nov. 6 

16 

26 

Dec. 6 

16 

20 
36 



0.67 

+ 9.30 

19.28 

29.25 

8.22 

18.19 

0.17 

10.14 

20.11 

30.08 

9.06 
19.03 
29.00 

8.98 
18.95 

28.92 

7.89 
17.87 
27.84 

7.81 

17.78 
27.76 
6.73 
16.70 
26.67 

5.65 
15.62 
25.59 

5.57 
15.54 

25.51 

4.48 

14.46 

24.43 

4.40 



A a 



1870. 



Var. in 
10 y. 



-j-0.713 
0.620 
0.504 
0.371 
0.230 

+0.084 
-0.058 
0.184 

0.288 
0.364 

0.404 
0.402 
0.354 
0.263 
-0.127 

+0.052 
0.268 
0.517 
0.790 

1.082 

1.388 
1.694 
1.997 
2.291 
2.570 

2.830 
3.065 
3.276 
3.458 
3.612 

3.737 

3.833 
3.897 
3.933 
3.938 



Diff. for 
10 d 



14.37 3.914 
24.35 3.863 
34.32 1+3.784 



+ 3 
3 
3 
3 
3 

3 

2 

2 
2 
1 

1 

f 1 



— 1 

1 

1 

1 
2 
2 

2 

3 
3 
2 
2 

2 

2 

1 

- 1 




+ 1 
1 

2 
2 

2 

3 

4 
+ 4 



- 82 
105 
125 
138 
145 

146 

136 

116 

91 

59 

- 20 
+ 25 

70 
114 
158 

198 
234 

262 

284 
300 

307 
305 
298 
286 
270 

248 
224 
197 
168 
140 

111 

80 

50 

+ 21 

— 9 

38 
65 

— 91 



A Q d 



1870. 



— 0.72 
1.45 
2.12 
2.70 
3.19 

3.5G 
3.80 
3.90 
3.84 
3.59 

3.14 

2.48 
1.60 
0.52 

+ 0.77 

2.25 

3.86 
5.61 
7.41 
9.23 

11.04 
1<J.76 
14.37 
15.79 
17.01 

17.99 
18.73 
19.19 
19.39 
19.38 

19.12 

18.70 
18.12 
17.46 
16.70 

15.93 

15.15 

+14.40 



Var. in 
10 y. 



+ 1 
1 

1 
1 

1 



1 
1 

1 

+ 1 







— 1 

2 
2 
3 
3 
3 

3 

4 
4 
4 
4 



Diff. for 
10 d. 



- 75 
70 
63 
54 
44 

31 
17 

— 2 
+ 15 

35 

55 

77 

98 

1J9 

139 

155 
169 

178 

182 
182 

177 

167 
152 
132 
110 

86 

60 

32 

+ 9 

- 14 

35 
51 
63 

72 
77 

78 
77 
73 



* (5 0, 

$£ d Mean Sun, 



May 1.7. 
April 30.9. 



Side- 
real 
Day. 



+0.660 
0.578 
0.491 
0.400 
0.304 



A Q a 



A oQ (J 



1865. 




100 
200 
300 
400 





100 
200 
300 
400 





100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 



1866. 



+0.337 
0.240 
0.140 

+0.040 
0.061 



1867. 



-0.027 
0.127 
0.227 
0.224 
0.418 



-6.11 
6.56 
6.96 
7.29 

7.55 



1868 B. 



-0.387 
0.479 
0.567 
0.649 
0.726 



An<5 



1873. 

-0.938 
0.888 
0.830 
0.766 
0.696 



—1.79 

1.08 
—0.37 
+0.35 

1.06 



1874. 



—0.720 
0.646 
0.566 
0.482 
0.394 



+0.83 
1.53 
2.23 
2.90 
3.55 



1875. 



-0.424 
0.334 
0.241 
0.147 
0.051 



+3.33 
3.96 
4.56 
5.11 
5.63 



1876 B. 



-7.4 
7.70 
7.85 
7.94 
7.96 



—0.701 
0.773 
0.839 
0.897 
0.947 



1869. 



—0.083 

+0 013 

0.109 

0.204 

0.297 



—7.96 
7.94 

7.83 1 
7.67 

7.44 



1870. 



—0.931 
0.976 
1.012 
1.040 
1.058 



—7.53 
7.25 
6.92 
6.52 
6.07 



1871. 



■1.053 
1.065 
1.069 
1.063 
1.049 



—6.23 

5.75 
5.22 
4.04 
4.03 



+5.46 
5.95 
6.38 
6.77 
7.09 



1877. 



1872 B. 



—1.055 
1.034 
1.005 
0.907 

—0.922 



—4.24 
3.61 

2.95 
2.26 

—1.58 



+ 0.260 
0.358 
0.44ri 
0.533 
0.615 



+6.99 
7.28 
7.51 
7.68 
7.79 



1878. 

+0.588+7.76 
7.82 
7.82 
7.75 
7.62 



0.66(5 
0.739 
0.806 
0.867 



1870. 



+0.847 
0.903 
0.951 
0.992 
1.025 



+7.67 
7.50 
7.26 
6.96 
6.61 



1880 B. 



1.015 
1.041 

1.060 

1.069 

+1.069 



+6.73 
6.34 

5.89 

5.39 

+4.84 



SPECIAL TABLES. 



107 



TABLE XXIV.- 48 Cephel (H.) 



h m 

B.A. 3 3.9. 



o / 

Dec. + 77 15. 



Upper transit at fictitious meridian. 



Sidereal Day. 


Mean Day. 




V 






A J 




















1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


0, Jan. 


— 0.65 


+3.901 


+38 


-564 


+15.22 


— 6 


+214 


10 


+ 9.32 


3.271 


39 


691 


17.12 


5 


165 


20 


19.29 


2.527 


39 


792 


18.50 


4 


111 


30 


29.27 


1.697 


38 


861 


19.32 


— 2 


+ 52 


Feb. 9 


8.24 


+0.817 


36 


892 


19.54 





— 8 


19 


1821 


-0.073 


34 


884 


19.17 


+ 2 


66 


Mar. 1 


0.19 


0.938 


28 


837 


18.23 


3 


122 


11 


10.16 


1.736 


23 


752 


16.76 


5 


171 


21 


20.13 


2.430 


18 


632 


14.83 


6 


213 


31 


30.10 


2.990 


12 


484 


12.53 


7 


245 


100, Apr. 10 


9.08 


3.391 


6 


315 


9.96 


8 


268 


20 


19.05 


3.615 


+ 1 


—132 


7.21 


8 


280 


30 


29.02 


3.652 


— 4 


+ 59 


4.40 


8 


280 


May 10 


8.99 


3.498 


10 


247 


+ 1.63 


8 


271 


20 


18.97 


3.160 


13 


428 


— 0.99 


7 


253 


30 


28.94 


2.646 


16 


597 


3.40 


6 


227 


June 9 


7.91 


-1.973 


18 


747 


5.50 


6 


193 


19 


17.89 


1.160 


19 


875 


7.23 


4 


153 


29 


27.86 


—0.230 


19 


980 


8.55 


2 


110 


July 9 


7.83 


+0.792 


19 


1060 


9.42 


+ 1 


64 


200, 19 


17.80 


1.882 


17 


1115 


9.83 


— 1 


— 17 


29 


27.78 


3.013 


14 


1144 


9.76 


3 


+ 31 


Aug. 8 


6.75 


4.162 


10 


1150 


9.22 


5 


78 


18 


16.72 


5.305 


6 


1132 


8.21 


7 


123 


28 


26.69 


6.419 


— 1 


1094 


6.77 


8 


165 


Sept. 7 


5.67 


7.486 


+ 5 


1036. 


4.92 


10 


204 


17 


15.64 


8.486 


12 


960 


2.70 


12 


240 


27 


25.61 


9.400 


18 


866 


— 0.14 


13 


270 


Oct. 7 


5.58 


10.213 


25 


757 


+ 2.69 


15 


296 


17 


15.56 


10.909 


32 


633 


5.76 


16 


316 


300, 27 


25.53 


11.474 


39 


495 


8.99 


17 


330 


Nov. 6 


4.50 


11.895 


46 


345 


12.33 


17 


336 


16 


14.48 


12.160 


53 


185 


15.68 


17 


334 


26 


24.45 


12.263 


59 


+ 19 


18.98 


17 


324 


Dec. 6 


4.42 


12.197 


64 


—150 


22.14 


17 


305 


16 


14.39 


11.964 


68 


316 


25.06 


16 


277 


26 


24.37 


11.568 


71 


473 


27.66 


15 


241 


36 


34.34 


+11.023 


+74 


—609 


+29.85 


—14 


+197 



* 6 0, May 8.7. 

>j< 6 Mean Sun, May 7.8. 
>J< 8 Mean Sun, Nov. 6.4. 



Side- 
real 
Day. 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 





100 
200 
300 
400 



*a* 



1865. 



+3.038 
2.943 
2.822 
2.676 
2.506 



—2.49 
3.21 
3.90 
4.56 
5.18 



1866. 



+2.566 
2.381 
2.176 
1.951 

1.708 



-4.98 
5.58 
43.12 
6.61 
7.04 



1867. 



+1.793 
1.541 
1.275 
0.999 
0.714 



-6.90 
7.29 
7.62 

7.88 
8.07 



1868 15. 



+0.811 

0.522 

+0.229 

—0.066 

0.359 



—8.02 
8.16 
8.23 

8.24 
8.17 



1869. 



-0.260 
0.551 
0.837 
1.115 
1.383 



—8.20 
8.08 
7.89 
7.64 
7.32 



1870. 



^1.293 
1.553 
1.798 

2 027 
2.238 



-7.43 
7.07 
6.64 
6.16 
5.63 



1871. 



-2.169 
2.368 
2.545 
2.701 
2.833 



-5.82 
5.25 
4.65 
4.00 
3.33 



1872 B. 



—2.791 

2.907 

2.999 

3.066 

—3.106 



A a<> 



187.3. 



-3.095 
3.119 
3.116 

3.087 
3.033 



—0.92 

-0.18 

+0.57 

1.31 

2.04 



1874. 



-3.054 

2.984 
2.888 
2.769 
2.628 



+1.79 
2.51 

3.20 

3.87 
4.50 



1875. 



-2.678 
2.522 
2.345 
2.150 
1.936 



+4.S9 
4.90 
5.46 
5.99 
6.46 



1876 B. 



—2.010 
1.786 
1.546 
1.294 
1.031 



+6.30 
6.74 
7.12 
7.44 

7.70 



1877. 



—1.121 

0.852 
0.575 
0.293 
0.010 



+7.62 
7.84 
7.99 
8.08 
8.11 



1878. 



—o.i or. 

+0.18 J 
0.465 
0.747 
1.024 



+8.11 

8.08 
7.99 
7.84 
7.61 



1879. 



+0.931 
1.204 
1464 
1.715 
1.951 



+7.70 
7.43 
7.10 
6.72 
6.29 



1880 B. 



—3.56 +1.873 
2.86| 2.099 
2.151 2.309 
1.41 ' 2 499 

—0.67 +2.669 



+6.43 
5.94 
5.41 

4.83 

+4.21 



108 



SPECIAL TABLES. 







TABLE XIIV.- 


-t Arietis. 






h 
R.A. 3 


m 
7.4. 


o / 

Dep. + 20 34. 






Upp 


er transit at fictitious meridian. 






& Q a 




A c* 




Side- 
reul 
Day. 


A Q a 


A Q<* 


A 1 A , 


Sidereal Day. 


Mean Day. 








































1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

s " 




















100 


+0.837 
0.753 


—2.63 
3.35 


—1.101 

1.056 


—0.81 
-0.06 






















s 






// 






200 


0.663 


4 04 


1.001 


+0.69 


0,Jan. 


— 0.65 


+0.931 


+ 3 


— 68 


+ 4.09 





— 10 


300 


0.567 


4.69 


0.939 


1.43 


10 


+ 9.32 


0.848 


3 


98 


3.94 





20 


400 


0.466 


5.31 


0.869 


2.16 


20 


19.30 


0.736 


3 


125 


3.70 





30 








30 


29.27 


0.600 


4 


146 


3.35 


+ 1 


40 




1866. 


1874. 


Feb. 9 


8.24 


0.446 


4 


161 


2.91 




48 





+0.500 


—5.11 


—0.894+1.91 


19 
Mar. 1 


18.21 
0.19 


0.282 
+0.120 


4 
3 


165 
159 


2.39 
1.81 




55 
60 


100 

200 


0.396 
0.289 


5.69 
6.23 


0.819 

0.738 


2.63 
3.32 


11 


10.16 


—0.033 


3 


141 


1.20 




62 


300 


0.179 


6.71 


0.651 


3.98 


21 


20.13 


0.166 


2 


119 


0.59 




59 


400 


0.067 


7.13 


0.558 


4.61 


31 


30.11 


0.269 


2 


86 


+ 0.03 




52 




1867. 


1875. 


100, Apr. 10 


9.08 


0.336 


1 


— 46 


— 0.46 




43 





+0.105 
—0.007 


—7.00 


-0.590 


+4.40 


20 


19.05 


0.359 


+ 1 





0.83 




29 


100 


7.38 


0.494 


5.00 


30 


29.02 


0.336 





+ 48 


1.04 


+ 1 


— 13 


200 


0.119 


7.70 


0.396 


5.56 


May 10 


9.00 


0.263 





97 


1.09 





+ 6 


300 


0.230 


7.95 


0.293 


6.08 


20 


18.97 


—0.142 





144 


0.92 





27 


400 


0.339 


8.13 


0.188 


6.55 


30 


28.94 


+0.024 


— 1 


188 


— 0.54 





49 




1868 B. 


1876 B. 


June 9 


7.91 


0.233 


1 


230 


+ 0.05 





71 








19 


17.89 


0.482 


2 


264 


0.85 


— 1 


89 





—0.303 


-8.08 


—0.223 


+6.39 


29 


27.86 


0.758 


2 


290 


1.82 


2 


106 


100 


0.410 


8.21 


0.117 


6.82 


July 9 


7.83 


1.059 


2 


310 


2.96 


2 


121 


200 
300 


0.513 
0.611 


8.28 
8.27 


—0.010 
+0.097 


7.20 
7.51 


200, 19 


17.81 


1.375 


2 


321 


4.22 


3 


131 


400 


0.704 


8.18 


0.203 


7.76 


29 


27.78 


1.698 


2 


325 


5.57 


3 


138 








Aug. 8 


6.75 


2.023 


2 


322 


6.97 


4 


141 




1869. 


1877. 


18 
28 


16.72 

26.70 


2.341 

2.649 


2 

2 


314 
301 


8.38 
9.77 


4 
4 


141 
136 



100 

200 


—0.674 
0.763 
0.845 


—8.22 
8.09 
7 89 


+0.168 
0.273 
0.377 


+7.69 
7.90 

8.04 


Sept. 7 


5.67 


2.942 


1 


283 


11.08 


5 


127 


300 


0.919 


7.62 


0.477 


8.12 


17 


15.64 


3.214 


1 


263 


12.30 


5 


118 


400 


0.985 


7.29 


0.574 


8.13 


27 


25.61 


3.466 


— 1 


238 


13.43 


5 


106 








Oct. 7 


5.59 


3.690 





211 


14.42 


5 


92 




1870. 


1878. 


17 


15.56 


3.888 





185 


15.27 


5 


78 



























—0.964 


—7.41 


+0.542 


+8.14 


300, 27 


25.53 


4.059 





156 


15.99 


5 


65 


100 


1.025 


7.03 


0.635 


8.10 


Nov. 6 


4.50 


4.199 


+ 1 


124 


16.58 


5 


52 


200 


1.077 


6.60 


0.724 


8.01 


16 


14.48 


4.307 


2 


92 


17.03 


5 


40 


300 


1.118 


6.11 


0.807 


7.84 


26 


24.45 


4.383 


2 


59 


17.39 


5 


30 


400 


1.151 


5.57 


0.884 


7.6L 


Dec. 6 


4.42 


4.425 


3 


+ 25 


17.63 


5 


18 




1871. 


1879. 


16 
26 
36 


14.40 
24.37 
34.34 


4.432 

4.403 
+4.340 


4 
5 

+ 6 


— 11 

46 

— 79 


17.75 

17.78 
+17.70 


5 

4 

— 4 


+ 7 

— 3 

— 14 



100 
200 
300 
400 


—1.141 
1.167 
1.183 
1.189 
1.185 


—5.76 
5.18 
4.57 
3.92 
3.23 


+0.859 
0.930 
0.995 
1.051 


+7.69 
7.42 

7.08 
6.68 














LC98 


6^23 
















1872 B. 


1880 B. 




* 

* 


6 0, 

c5 Mean Sun, 


May 9.7. 
May 8.7. 







100 
200 
300 


-1.188 
1.177 
1.156 
1.126 


—3.47 
2.77 
2.04 
1.31 


+1.083 
1.125 
1.157 
1.181 


+6.39 
5.90 
5.36 

4.77 














400 


—J. 087 —0.56 


+1.191 


+4.14 



SPECIAL TABLES. 



109 



1 




TABLE XXIV.- 


-6 Persei. 








h m 

E.A. 3 33.7. 


o / 

Dec. + 47 22. 




Upper transit at fictitious meridian. 








A a 




A Q 6 


Side- 
real 


A a a 


A 7l 6 


A Q a 


A ^ 




Sidereal Day. 


Vfpfin Tfcav 










Day. 












LTiCOU XSflj • 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 

8 " 





















100 


+1.197 
1.105 


-3.54 
4.24 


—1.455 
1.415 


+0.05 
0.82 




i 






















s 






// 






200 


1.003 


4.91 


1.362 


1.58 




0, Jan. 


— 0.63 


+1.467 


+ 5 


- 89 


+ 9.40 


- 3 


+120 


300 


0.892 


5.54 


1.300 


2.33 




10 


+ 9.34 


1.353 


5 


138 


10.47 


2 


92 


400 


0.773 


6.13 


1.226 


3.06 




20 


19.31 


1.193 


6 


181 


11.22 


2 


59 










30 


29.29 


0.994 


7 


216 


11.64 


— 1 


+ 25 




1866. 


1874. 




Feb. 9 


8.26 


0.765 


7 


240 


11.71 


+ 1 


— 11 





+0.814 


—5.94 


— 1 2521+2.81 




19 

Mar. 1 

11 

21 


18.23 
0.21 

10.18 
20.15 


0.518 

0.267 

+0.027 

—0.191 


6 
6 
6 
5 


251 
245 
231 
201 


11.42 

10.79 

9.85 

8.64 


1 

2 
2 
2 


46 

79 
108 
132 


100 
200 
300 
400 


0,690 
0.561 
0.426 

0.288 


6.48 
6.97 

7.40 

7.77 


1.172 

1.082 
0.983 
0.876 


3.52 
4.20 
4.85 
5.45 




31 


30.12 


0.370 


4 


157 


7.22 


3 


150 




1867. 


1875. 




100, Apr 10 


9.10 


0.502 


3 


105 


5.67 


3 


161 





+0.335 


—7.66 


—0.913 


+5.25 




20 


19.07 


0.578 


2 


— 45 


4.03 


3 


165 


100 


0.195 


7.98 


0.802 


5.82 




30 


29.04 


0.591 


+ 1 


+ 20 


2.39 


3 


162 


200 


+0.053 


8.23 


0.684 


6.35 




May 10 


9.01 


0.538 





87 


+ 0.82 


2 


151 


300 


—0.089 


8.40 


0.560 


6.82 




20 


18.99 


0.417 


— 1 


152 


— 0.61 


2 


134 


400 


0.230 


8.51 


0.433 


7.23 




30 


28.96 


—0.235 


1 


213 


1.85 


2 


114 




1868 B. 


1876 B. 




June 9 


7.93 


+0.007 


2 


270 


2,87 


+ 1 


89 










19 


17.91 


0.302 


3 


318 


3.61 





60 





—0.183 


—8.48 


—0.476 


+7.10 




29 


27.88 


0.641 


3 


358 


4.06 





— 30 


100 


0.322 


8.54 


346 


7.47 




July 9 


7.85 


1.016 


3 


388 


4.21 


— 1 


+ 1 


200 

300 


0.459 
0.592 


8.52 
8.43 


0.212 

-0.077 


779 

8.04 




200, 19 


17.82 


1.415 


3 


410 


4.05 


1 


30 


400 


0.719 


8.26 


+0 059 


8.22 




29 


27.80 


1.833 


3 


423 


3.62 


2 


59 










Aug. 8 


6.77 


2.258 


3 


427 


2.88 


3 


86 




1869. 


1S77. 




18 


16.74 


2.684 


3 


423 


1.91 


4 


109 





—0.677 


—8.32 


+0.013-4-8.17 




28 


26.71 


3.102 


2 


413 


— 0.70 


5 


131 


100 
200 


0.800 
0.915 


8.11 

7.83 


0.149 

0.284 


8.31 
8.38 




Sept. 7 


5.69 


3 507 


2 


395 


+ 0.71 


6 


150 


300 


1.023 


7.47 


0.417 


8.38 




17 


15.66 


3.891 


— 1 


371 


2.29 


6 


166 


400 


1.121 


7.06 


0.546 


8.31 




27 


25.63 


4.250 





346 


4.02 


7 


179 










Oct. 7 


5.61 


4.582 


+ 1 


316 


5.85 


7 


188 




1870. 


1878. 




17 


15.58 


4.881 


2 


282 


7.76. 


8 


195 





























—1.089 


—7.21 


+0.503 


+8.34 




300, 27 


25.55 


5.144 


3 


243 


9.73 


9 


198 


100 


1.181 


6.75 


0.630 


8.23 




Nov. 6 


4.52 


5.365 


4 


200 


11.71 


9 


198 


200 


1.262 


6.24 


0.751 


8.05 




16 


14.50 


5.542 


5 


155 


13 67 


9 


193 


300 


1.332 


5.67 


0.867 


7.80 




26 


24.47 


5.673 


6 


106 


15.56 


9 


188 


400 


1.391 


5.06 


0.977 7.48 




Dec. 6 


4.44 


5.752 


7 


+ 53 


17.37 


8 


175 




1871. 


1879. 




16 
26 
36 


1441 

24.39 
34.36 


5.779 

5.749 

+5.669 


8 

9 

+10 


— 2 

55 
—106 


19.03 

20.50 

+21.74 


8 

8 

— 8 


158 

136 

+110 



100 
200 
300 


—1.372 
1.423 
1.462 

1.488 


—5.27 
4.63 
3.95 
3.24 


+0.940 
1.044 
1.142 
1.226 


j+7.60 

1 7.24 

6.82 

6.35 














400 


1.501 


2.5J 


1.302 


5.82 






* 


6 0, 


May 16.3. 






1872 B. 


1880 B. 




,; 


* 


3 Mean Sun, 


May 15.4. 





100 


—1.498'— 2.76 
1.503 2.01 


+ 1.278+6.00 
1.347| 5.44 




ii 










200 


1.495 1.2511 1.405i 4.82 














300 


1.475—0.471 1.451! 4.17 




;i 










400 


—1.443+0.30'+ 1.485 +3.48 




i'r- 





























110 



SPECIAL TABLES. 









TABLE XXIV. 


-n Tauri. 






h m 
R.A. 3 39.8. 


O ' 

Dec. + 23 42. 


Upper transit at fictitious meridian. 


Sidereal Day. 


Mean Day. 


A a 


A o* 


Side- 
real 
Day. 


*Q a A Q 6 


A Q a 


A Q<* 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

s " 



















100 


+0.859 
0.772 


—3.74 
4.45 


—1.134+0.24 
1.086; 102 






















a 






// 






j 200 


0.678 


5.11 


1.030 1.78 


0, Jan. 


— 0.63 


+ 1.107 


+ 3 


- 45 


+ 4.09 





+ H 


300 


0.579 


5.73 


0.965 2.53 


10 


+ 9.35 


1.043 


4 


82 


4.15 








400 


0.474 


6.31 


0.892| 3.26 


20 


19.32 


0.945 


4 


115 


4.10 





— 11 








30 


29.29 


0.814 


4 


143 


3.94 





22 




1866. 


1874. 


Feb. 9 


8.26 


0.660 


4 


163 


3.67 


+ 1 


33 





+0 509 


-6.12 


—0.9171+3.02 


19 


18.24 


0.490 


4 


174 


3.29 


1 


42 


100 


0.402 


6.66 


0.840 


3.72 


Mar. 1 


0.21 


0.3.15 


4 


175 


2.83 


1 


50 


200 


0.291 


7.14 


0.755 


4.40 


11 
21 


10.18 
20.16 


+0.143 
—0.011 


4 
3 


164 
143 


2.30 
1.70 


1 
1 


57 
61 


300 
400 


0.177 
0.061 


7.55 
7.90 


0.665 
0.569 


5 04 
5.63 


31 


30.13 


0.141 


3 


114 


1.10 


1 


60 




1867. 


1875. 


100, Apr. 10 


9.10 


0.237 


2 


76 


0.52 


1 


55 





+0.100 


—7.79 


+0.6021+5.43 


20 


19.07 


0.291 


2 


— 32 


+ 0.01 


1 


46 


100 


—0.016 


8.10 


0.503 6.00 


30 


29.05 


0.300 


+ 1 


+ 36 


— 0.39 


1 


34 


200 


0.131 


8.33 


0.401] 6.51 


May 10 


9.02 


0.258 





67 


0.66 


+ I 


19 


300 


0.246 


8.49 


0.294 6 97 


20 


18.99 


0.166 





116 


0.76 





— 1 


400 


0.358 8.58 


0.JS6J 7.38 


30 


28.96 


—0.026 





164 


0.68 





+ 17 




1868 B. 


1876 B. 


June 9 


7.94 


+0.160 


— 1 


207 


— 0.40 





36 








19 


17.91 


0.386 


1 


245 


+ 0.06 





55 





—0.320—8.56 


—0.223+7.25 


29 


27.88 


0.647 


2 


276 


0.70 


— 1 


73 


100 


0.430 


8.60 


0.113| 7.61 


July 9 


7.86 


0.935 


2 


300 


1.52 


1 


89 


i 200 
300 


0.537 
0.638 


8.56 
8.45 


—0.0031 7.91 
+0.J08! 8.14 


200, 19 


17.83 


1.245 


2 


316 


2.47 


2 


102 


400 


0.733 


8.26 


0.218| 8.31 


29 


27.80 


1.565 


3 


325 


3.54 


3 


111 








Aug. 8 


677 


1.894 


3 


329 


4.67 


3 


116 




1869. 


1877. 


18 


16.75 


2.222 


3 


326 


5.85 


4 


119 





—0.702—8.33 


+0.18H+S.27 


28 


26.72 


2.545 


2 


318 


7.04 


4 


118 


100 
200 


0.793 

0.878 


8.10 
7.80 


0.290J 8.39 
0.396! 8.44 


Sept. 7 


5.69 


2.856 


2 


304 


8.20 


5 


114 


300 


0.954 


7.43 


0.500J 8.42 


17 


15.66 


3.152 


1 


287 


9.31 


5 


107 


400 


1.022 


6.99 


0.599; 8.33 


27 


25.64 


3.429 


1 


268 


10.34 


5 


99 








Oct. 7 


5.61 


3 688 


— 1 


246 


11.28 


6 


90 




IS JO. 


1878. 


17 


15.58 


3.921 





220 


12,14 


6 


81 
















„ 











—1.000 


—7.15 


+0.566 


+8.38 


300, 27 


25.55 


4.127 





192 


12.89 


6 


70 


100 


1.062 


6.67 


663 


8.24 


Nov. 6 


4.53 


4.305 


+ 1 


163 


13.54 


6 


61 


200 


1.114 


6.14 


0.754 


8.04 


16 


14.50 


4.452 


2 


131 


14 11 


6 


52 


300 


1.158 


5.56 


0.839 


7.78 


26 


24.47 


4.566 


2 


95 


14.58 


7 


42 


400 


1.190 


4.93 


0.918 


7.45 


Dec. 6 


4.45 


4.642 


3 


58 


14.96 


6 


33 I 




1871. 


1879. 


16 
26 
36 


1442 
24.39 
34.36 


4.681 

4.680 
+4641 


4 
5 

+ & 


+ 19 

— 20 

— 59 


15.25 

15.47 

+15.60 


5 


25 

18 
+ 7 



100 
200 
300 


-1.180 
1.207 
1.222 
1.228 


—5.15 
4.49 

3,80 
3.08 


+0.892 
0.965 
1.031 

1.088 


+7.56 
7.19 
6.75 
6 26 














400 


1.223 


2.34 


1.137 5.71 
















187211. 


1880 B. 




* c 


5 ©, ] 


Vlay 17.9. 














* c 


J Mean Sun, ] 


Way 16.9. 




i 




100 
200 
300 
400- 


-1.2261—2.59 
1.214 1.83 
1.192 1.06 

1.160—0.281 
-1.119+0.50,' 

ll 


+1.121 
1.164 
1.196 
1.218 

+1.230 


+5.90 
5.32 
4.69 
4.03 

+3.32 



SPECIAL TABLES. 



Ill 







i 


rABIE XXIV.- 


-C Persei. 






h m 

E.A. 3 46.0. 


* 

Dec. + 31 30. 


Upper transit at fictitious u.eridian. 






A Q a 




A Q 


Side- 
real 


A Q a 


A Cl d 


A Q a 


A Q< 5 














Day. 










Sidereal Day. 


Mean Day. 


















1 








| 












1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in' 
10y. 


Diff. for 
10 d. 




1865. 

6 


1873. 

8 " 




















100 


+0.943 
0.854 


—3.95 

4.65 


—1.219 
1.173 


+0.45 
1.22 






















H 












200 


0.757 


5.31 


1.116 


1.99 


0,Jan. 


- 0.62 


-f 1.220 


+ 3 


— 46 


+ 5.66 


— 2 


+ 49 


300 


0.653 


5.92 


1.050 


2.74 


10 


4- 9.35 


1.153 


4 


87 


6.08 


1 


34 


400 


0.544 


6.48 


0.976 


3.46 


20 


19 32 


1.048 


4 


123 


6.33 


— 1 


+ 16 








30 


29.30 


0.909 


4 


155 


6.40 





— 1 




1866. 


1871. 


Feb. 9 


8.27 


0.741 


4 


178 


6.30 





21 





+0.581 


-6.30 


—1.002 


+3.22 


19 


18.24 


0.557 


4 


190 


5.99 


+ 1 


39 


100 


0.468 


6.83 


0.923 


3.93 


Mar. 1 


0.21 


0.364 


4 


192 


5.52 


1 


55 


200 


0.351 


7.29 


0.836 


4.60 


11 


10.19 


0.176 


4 


181 


4.89 


1 


69 


300 


0.231 


7.70 


0.742 


5.23 


21 


20.16 


+0.006 


4 


159 


4.15 


1 


81 


400 


0.109 


8.04 


0.643 


5.82 


31 


30.13 


—0.140 


3 


130 


3.29 


1 


88 




1867. 


1875. 


100, Apr. 10 


9.11 


0.250 


3 


89 


2.40 


1 


89 





+0.151 


—7.93 


—0.677 


+5.62 


20 


19.08 


0.315 


2 


— 41 


1.52 


2 


86 


100 


+0.028 


8.22 


0.574 


6.18 


30 


29.05 


0.330 


+ I 


+ 11 


+ 0.70 


2 


78 


200 


—0.095 


8.44 


0.466 


6.68 


May 10 


9.02 


293 





63 


— 0.02 


2 


66 


300 


0.217 


8.58 


0.355 


7.13 


20 


19.00 


0.203 





117 


0.60 


2 


49 


400 


0.337 


8.65 


0.240 


7.52 


30 


28 97 


—0.060 


— 1 


168 


1.00 


+ 1 


30 




1868 B. 


1876 E. 


June 9 


7.94 


+0.132 


1 


214 


1.20 





— 10 








19 


17.91 


367 


. 2 


255 


1.19 





+ 12 

35 





—0.297 


—8.63 


—0.279+7.39 


29 


27.89 


0.639 


2 


2'89 


0.96 





100 


0.415 


8.65 


0.163 


7.74 


July 9 


7.86 


0.942 


2 


315 


— 0.53 


- 1 


52 


200 
300 


0.530 
0.639 


8.60 
8.46 


—0.046 
+0.071 


8 03 

8.25 


200, 19 


17.83 


1.267 


2 


335 


+ 0.08 


1 


70 


400 


0.743 


8.26 


0.188 


8.40 


29 


27 80 


1.609 


2 


346 


0.87 


2 


87 








Aug. 8 


6.78 


1.956 


2 


350 


1.82 


3 


99 




1869. 


1877. 


18 


16.75 


2.306 


2 


347 


2.85 


3 


109 





—0.7091—8.34 


+0.149 
0.266 


+8.36 


28 


26.72 


2.648 


2 


340 


3.99 


4 


U6 


100 


0.808 


8.08 


8.46 


















200 


0.900 


7.76 


0.3S0 


8.50 


Sept. 7 


5.70 


2.984 


2 


329 


5.17 


5 


119 


i 300 


0.984 


7.37 


0.491 


8.46 


17 


15 67 


3.304 


2 


311 


6 37 


5 


121 


1 400 


1.060 


6.92 


598 8.36 


27 


25.64 


3.605 


1 


291 


7.59 


6 


121 








Oct. 7 


5.61 


3.885 


— 1 


269 


8.78 


6 


118 




1870. 


1878. 


17 


15.59 


4.141 





243 


9.94 


6 


115 



























—1.035 


—7.08 


+0.563 +8 40 


300, 27 


25.56 


4.369 


+ 1 


213 


11.07 


7 


110 


i 100 


1.105 


6.58 


0.667 


8.25 


Nov. 6 


4.53 


4.566 


2 


181 


12.13 


7 


104 


' 200 


1.164 


6.04 


0.766 


8.03 


16 


14.50 


4.730 


2 


146 


13.14 


7 


97 


! 300 


1.213 


5.44 


0.839 


7.74 


26 


24.48 


4.857 


2 


108 


14.07 


7 


90 


400 


1.252 


4.80 


0.945 


7.39 


Dec. 6 


4.45 


4.946 


3 


68 


14.93 


6 


82 




1871. 


1879. 


16 
26 
36 

i 


14.42 

24.40 
34.37 


4.993 

4.995 

+4.956 


4 
5 

+ 6 


+ 24 

— 19 

— 60 


15.71 
16.38 

+16.88 


6 

6 

— 6 


71 

58 
+ 44 



| 100 

200 
j 300 

400 


—1.240 
1.272 

1.293 
1.302 
1.301 


—5.02 
4 35 
3.65 
2.9? 
2.16 


+0.917 
0.998 
1.071 
1.135 
1.190 


+7.52 
7 13 
6.67 
6.16 
5.60 


. 










jj 












1872 B. 


1880 B. 




* 


6 0, 


May 19.4. 







—1.303 


—2.42 


+1.173 


+5.79 




* 


<5 Mean Sun, 


May 18.5. 




! 100 


1.294 


1.65 


1.221 


5,20 












i 200 


1.275 


0.87 


1.260 


4.55 


1 










! 300 


1.245 


—0.08 


1.287 


3.87 


1 










; 400 

i 


—1.205 


+0.70 


+1.304+3.16 



112 



SPECIAL TABLES. 







TABLE XXIV - 


! 
y 1 Eridani. 




h m 
R.A. 3 52.0. 




I 

Dec. — 13 53. 


Upper transit at fictitious meridian. 








A a 






A 0<j 


iside- 
1 real 


A Q a 


A Q<5 


A oQ a *Q 6 


Sidereal Day. 


MeanDay. 












Day. 






1 
























1870. 


Var. in 

10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

B " 


1873. 

s 




















100 


+0.511 
0.432 


—4.15 

4.84 


—0 794 
0.741 


+0.64 
1.42 




















s 






a 






200 


0.349 


5.49 


0.681 


2.19 


0,Jan. 


— 0.62 


+1.076 


+ 2 


— 52 


— 4.85 


+ 1 


—154 


300 


0.263 


6.10 


0.617 


2.93 


10 


+ 9.35 


1.007 


3 


85 


6.29 


1 


133 


400 


0.175 


6.65 


0.547 


3.66 


20 


19.33 


0.906 


3 


117 


7.50 


1 


109 








30 


29.30 


0.775 


3 


144 


8.47 


+ 1 


82 




1866. 


1874. 


Feb. 9 


8.27 


0.621 


3 


163 


9.14 





54 



























+0.206 


—6.47 


—0.571 


+3.42 


19 


18.25 


0.451 


3 


174 


9.55 





— 26 


100 


0.110 


6.99 


0.499 


4.12 


Mar. 1 


0.22 


0.275 


2 


177 


9.64 





+ 6 
35 


200 


+0.025 


7.44 


423 


4.78 


11 


10.19 


+0.100 


2 


169 


9.43 





300 


—0.060 


7.83 


0.343 


5.41 


21 


20.16 


—0.061 


2 


153 


8.94 





65 


400 


0.156 


8.15 


0.260 


5.99 


31 


30.14 


0.204 


2 


129 


8.14 


— 1 


94 




1867. 


1875. 


100, Apr. 10 


9.11 


0.317 


2 


96 


7.07 


1 


120 





—0.125 


—8.05 


— 0.288;+5.80 


20 


19.08 


0.394 


2 


57 


5.75 


1 


146 


100 


0.215 


8.33 


2051 6.34 


30 


29.05 


430 


1 


— 14 


4.16 


2 


170 


200 


0.302 


8.53 


0.119; 6.84 


May 10 


9.03 


0.422 


+ 1 


+ 31 


2.35 


2 


190 


300 


0.387 


8.66 


—0.0331 7.27 


20 


19.00 


0.367 





77 


— 0.36 


3 


208 


400 


0.468 


8.71 


+0.054; 7.65 


30 


2897 


0.268 





122 


+ 1.80 


3 


222 




1868 B. 


1876 B. 


June 9 


7.95 


—0.124 


— 1 


163 


4.06 


3 


229 








19 


17.92 


+0.057 


1 


200 


6.36 


3 


232 





—0.411 


— 8.7G 


+0.025 


+7.53 


29 


27.89 


0.275 


I 


233 


8.69 


3 


228 


100 


0.520 


8.7U 


0.111 


7.87 


July 9 


7.86 


0.521 


1 


259 


10.92 


3 


218 


200 
300 


0.594 
0.662 


8.62 
8.47 


0.196 

0.280 


8.14 

8.34 


200, 19 


17.84 


0.791 


2 


279 


13.04 


3 


203 


400 


0.725 


8.25 


0.362 


8.48 


29 


27.81 


1.077 


2 


292 


14.96 


3 


181 








Aug. 8 


6.78 


1.372 


2 


297 


16.64 


3 


153 




1S69. 


1877. 


18 

28 


16.75 
26.73 


1.670 
1.965 


2 
2 


297 
293 


18 00 
19.02 


3 
3 


120 

84 




100 
200 


—0.705 
0.763 
0.815 


—8.33 
8.06 
7.72 


+0.333 
0.414 
0.491 


+8.44 
8.53 
8.55 


Sept. 7 


5.70 


2.254 


3 


283 


19.66 


3 


44 


300 


0.859 


7.3) 


0.564 


8.49 


17 


15.67 


2.530 


2 


268 


19.89 


3 + 3 


400 


0.896 


6.84 


0.632 


8.37 


27 


25.65 


2.788 


2 


249 


19.72 


3 


— 37 








Oct. 7 


5.62 


3.027 


1 


227 


19.16 


3 


75 




1870. 


1878. 


17 


15.59 


3.242 


1 


203 


18.24 


2 


108 



























—0.885 


—7.01 


+0.6091+8.42 


300, 27 


2556 


3.432 


— 1 


177 


17.02 


2 


137 


100 


0.916 


6. 50 


0.674 


8.25 


Nov. 6 


4.54 


3.594 





147 


15.52 


2 


159 


200 


0.940 


5.94 


0.733 


8 02 : 


16 


14.51 


3.725 





114 


13.86 


2 


173 


300 


0.956 


5 3', 


0.787 


7.71 


26 


24.48 


3.822 


+ 1 


80 


12.06 


2 


184 


400 


0.963 


4.67 


0.834 


7.34 


Dec. 6 


4.45 


3.884 


2 


44 


10.21 


2 


184 




1871. 


1879. 


16 
26 
36 


14.43 

24.40 
34.37 


3 909 

3.898 

+3.852 


2 

2 
+ 3 


+ 7 

— 28 

— 64 


8.40 

6.69 

+ 5.12 


2 

2 
— 2 


177 
165 

—148 



100 
200 


—0.962 
0.964 
0.958 


—4.89 
4.21 
3.49 


+0.818 
0.861 
0.897 


+7.47 : | 
7.06 1 
6.59 
















300 


0.943 


2.75 


0. 925 


6-07 














400 


0^921 


1.98 


0.945 


5.49 ' 
















1872 B. 


1880 B. 




* 6 0, 




May 20 


9. 






i 






>fc <5 Mean S 


un, 


May 20 


.0. 





100 
200 


pop 

bo co co 
OS o *o 


—2.24 

1.47 
—0.681 


+0.939 
0.934 
0.961 


+5.69 
5.08 
4.42 1 














300 


825 


+0.1 ill 0.960 


3.73 f 


1 












400 


— 0.776j+0.90i;+0.95l'+3.00 





























SPECIAL TABLES. 



113 









TABLE XXIV.- 


-/ Tauri. 






h 
R.A. 4 


m 
12.4. 


/ 

Dec. + 15 19. 






m 


er transit at fictitious meridian. 






A Q « 






<v 


Side- 
real 
Day. 


A Q a 


A Q* 


A a a 


A ^ 


Sidereal Day. 


^Ig3ii Dsv. 






















1870. 


Var. in 

10 y. 


Diff. for 
10 d. 


1870. 


\7ar. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 


1S73. 

g 



















100 


+0.763 
0.676 


—4.80 
5.47 


—1.050 

0.999 


+1.30 

2.08 






















s 






n 






200 


0.583 


6.10 


0.939 


2.85 


0, Jan. 


— 0.60 


+1.175 


+ 2 


— 17 


+ 1.44 





— 28 


300 


0.485 


6.67 


0,872 


3.59 


10 


-f- 9.37 


1.138 


3 


56 


1.15 





29 


400 


0.383 


7.19 


0.798( 4.30 


20 


19.34 


1.065 


4 


92 


0.85 





30 








30 


29.31 


0.956 


3 


124 


0.55 





30 




1866. 


1874. 


Feb. 9 


8.29 


0.819 


3 


149 


+ 0.25 





31 

























+0.418—7.02 


—0.824 


+4.07 


19 


18.26 


0.660 


3 


165 


— 0.07 


o 


32 


100 


0.313 


7.50 


0.746 


4.75 i 


Mar. 1 


0.23 


0.492 


3 


171 


0.38 





31 


200 


0.205 


7.91 


0.661 


5.40 : 


11 


10.20 


321 


3 


168 


0.67 


+ 1 

1 


28 


300 


+0.096 


8.25 


0.572 


6.00 


21 


20.18 


0.158 


3 


154 


0.94 


25 


400 


—0.014 


8.52 


0.478 


6.55 ! 


31 


30 15 


+0.016 


3 


130 


1.16 


1 


19 




1867. 


1875. 


100, Apr. 10 


9.12 


—0.099 


2 


93 


1.32 


1 


12 





+0.023—8.44 


—0.510+6.37 


20 


19.10 


0.178 


2 


58 


1.40 


1 


— 1 


100 


—0.087 


8.66 


0.413 6.88 


30 


29.07 


0.214 


2 


— 15 


1.33 


+ 1 


+ 12 


200 


0.196 


8.80 


0.313 7.34 


May 10 


9.04 


0.207 


+ 1 


+ 31 


1.16 





25 


300 


0.304 


8.87 


0211 


7.73 1 


20 


19.01 


0.152 





79 


0.82 





41 


400 


0.409 


8.86 


0.109 


8.07 j 


30 


28.99 


—0.050 





125 


— 0.34 





55 




1868 B. 


1876 B. 


June 9 


7.96 


+0.097 


— 1 


167 


+ 0.29 


— 1 


71 








19 


17.93 


0.283 


1 


205 


1.07 


1 


85 





—0.374 


—8.87 


—0.142 


+7.96 


29 


27.90 


0.506 


1 


240 


1.98 


2 


96 


100 


0.477 


8.81 


—0.037 


6.25 


. July 9 


7.68 


0.760 


2 


267 


2.99 


2 


105 


200 
300 


0.575 
0.666 


8.67 
8.46 


+0.06o 
0.173 


8.47 
8.62 


200, 19 


17.85 


1.037 


2 


286 


4.08 


3 


111 


400 


0.755 


8.16 


0.276 


8.70 


29 


27.82 


1.330 


3 


300 


5.20 


3 


112 








Aug.*8 


6.80 


1.635 


3 


308 


6.31 


3 


110 




1869. 


1877. 


18 
28 


16.77 
26.74 


1.944 
2.254 


2 
2 


310 
307 


7.39 
8.39 


4 
4 


104 
95 




100 


—0.726 
0.809 


—8.28 
7.95 


'+0.242+8.68 
0.344J 8.71 


Sept. 7 


5.71 


2. S57 


2 


299 


9.29 


4 


83 


200 
300 


0.884 
0.951 


7.54 

7.08 


0.443 8.67 
0.539 8.56 


17 


15.69 


2.851 


2 


289 


10.05 


5 


69 


400 


1.011 


fi.55 


0.631 1 8.38 


27 


25.66 


3 133 


1 


274 


10.66 


5 


. 54 








Oct. 7 


5.63 


3.398 


1 


257 


11.12 


5 


38 




1870. 


1S7S. 


17 


15.60 


3.645 


— 1 


237 


11.43 


5 


23 



























—0.992 


—6.73 


+0.600 1+8.45 


1 300, 27 


25.58 


3.870 





212 


11.59 


6 


+ 10 


100 


1.045 


6.17 


\ 0.689 


8.22 


Nov. 6 


4.55 


4.068 





185 


11.63 


6 


— 2 


200 


1.089 


5.56 


j 0.771 


7.92 


16 


14.52 


4.239 


+ 1 


157 


11.56 


6 


11 


300 


1.1241 4.89 


j 0.848 


7.55 


26 


24.50 


4.380 


1 


124 


11.42 


6 


13 


400 


1.149 4.19 


; 0.918 


7.13 


Dec. 6 


4.47 


4.486 


2 


88 


11.21 


6 


23 






i 




















1871. 


1879. 


16 
26 
36 


14.44 
24.41 
34.39 


4.555 

4.585 

+4.573 


2 

3 

+ 4 


50 

+ 9 
— 32 


10.96 

10.69 

+10.40 


6 

6 

— 6 


26 

28 

— 29 



100 
200 


—1.141 
1.160 
1.168 


—4.43 
3.71 

2.95 


+0.895'+7.28 
! 0.960; 6.81 
! 1.017 6.28 
















300 


1.167 
1.155 


2.18 
1.36 


! 1.066 
| 1.106 


5.70 
5.07 












400 














1872 B. 


18S0 B. 




* ( 


5 0, 


May 26.0. 










i 


* ( 


j Mean Sun, 


May 25.2. 




0—1.1601—1.65 
100 1.143! 0.85 


+1.0931+5.29 
j 1.127 4.63 












200 1.1 151—0.04 


1.152 


3.93 


( 










300J 1.079+0.76 1.166 


3.19 












400—1.033+1.56 +1.171+2.43 j 

1 i ' 



114 



SPECIAL TABLES. 



TABLE XXIV.-t Tauri. 



h m 

R.A. 4 21.0. 



Dpc. + 18 53. 



Upper transit at fictitious meridian. 



1 




A Q a 




A ©<5 




Side- 
real 


A £i a 


*n* 


A Q a 


A Q<5 


Sidereal Day. 
















Day. 










IMcflD. L)8y. 


1870. 


Var. in 
10 y. 


Diff. for 
]0d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1S73. 

s " 



















100 


+0.791 
0.702 


—5.06 
5.72 


—1.082 
1.030 


+1.57 
2.36 






















B 






// 






200 


0.608 


6.34 


0.970 


3.13 


0,Jan. 


— 0.60 


+1.229 


+ 2 


— 10 


+ 1.95 


— 1 


— 11 


300 


0.507 


6.90 


0.902 


3.86 


10 


+ 9.38 


1.199 


3 


51 


1.83 


1 


12 


400 


0.403 


7.40 


0.82/ 


4.57 


20 


19.35 


1.129 


3 


89 


1,70 


1 


15 








30 


29.32 


1.023 


3 


122 


1.52 


1 


20 




1866. 


1874. 


Feb. 9 


8.29 


0.887 


3 


149 


1.31 


1 


23 



























+0.438 


—7.24 


—0.853 


+4.33 


19 


18.27 


0.727 


4 


168 


1.07 


— 1 


27 


100 


0.331 


7.69 


0.773 


5.01 


Mar. 1 


0.24 


0.554 


4 


176 


0.78 





30 


200 


0.221 


8.09 


0.687 


5.65 


11 


10.21 


0.378 


4 


173 


0.48 





32 


300 


+0.109 


8.41 


0.596 


6.23 


21 


20.18 


0.211 


3 


160 


+ 0.15 


+ 1 


33 


400 


—0.004 


8.65 

i 


0.500 6.77 


31 


30.16 


+0 061 


3 


137 


— 0.15 


1 


29 




1867. 


1875. 


100, Apr. 10 


9.13 


-0.061 


3 


103 


0.42 


1 


25 





+0.034—8.58 


-0.532 +6.60 


20 


19.10 


148 


2 


65 


0.65 


1 


18 


100 


—0.079 


8 78 


0.433 


7.09 


30 


29.08 


0.193 


1 


— 23 


0.78 


1 


— 8 


200 


0.192 


8 90 


0.331 


7.53 


May 10 


9.05 


0.193 


+ 1 


+ 24 


0.81 


4- 1 


+ 4 


300 


0.303 


8.94 


0.22b 


7.91 


20 


19.02 


0.144 





73 


0.70 





18 


400 


0.410 


8.91 


0.119 


8.22 


30 


28.99 


—0.047 





121 


0.45 





33 




1868 B. 


1876 B. 


June 9 


7.97 


+0.096 


— 1 


164 


— 0.05 





47 








19 


17.94 


0.279 


1 


203 


+ 0.49 


— 1 


61 





—0.374 


-8.93 


—0.155 


+8.12 


29 


27.91 


o.r.oo 


2 


235 


1.17 


1 


74 


100 


0.480 


8.84 


—0.048 


8.39 


July 9 


7.88 


0.753 


2 


265 


1.96 


2 


84 


200 
300 


0.58 J 
0.67? 


8.68 
8.44 


+0.060 
0.168 


8.59 

8.72 


200, . 19 


17.86 


1.C28 


2 


286 


2 85 


2 


92 


400 


0.76? 


8.12 


0.£74 


8.77 


29 


27.83 


1.324 


2 


303 


3.80 


3 


97 








Aug. 8 


6.80 


1.632 


3 


312 


4.78 


3 


97 




1869. 


• 1S77. 


18 
28 


16.77 

26.75 


1.946 
2.261 


3 
3 


315 
314 


5.74 
6.67 


4 

4 


95 

89 



100 
200 


-0.738 
0.823 
901 


—8.24 
7.88 
7.45 


+0.239 
0.344 
0.446 


+8.76 
8.77 
8.70 


Sept. 7 


5.72 


2.572 


3 


307 


7.52 


4 


81 


300 


0.971 


6.96 


0.540 


R.fffl 


17 

27 


15 69 
25 67 


2.874 
3.166 


2 
2 


298 
284 


8.30 
8.94 


4 

5 


70 

58 


400 


1.031 


6.41 


0.639 8.36 


Oct. 7 


5.64 


3.441 


2 


267 


9.47 


5 


47 




1870. 


1878. 


17 


15.61 


3.699 


1 


248 


9.89 


6 


35 
























C 


—1.013 


—6.60 


+0.608+8.44 


300, 27 


25.58 


3.936 


— 1 


225 


10.18 


6 


24 


100 


1.068 


6.0-2 


0.699 


8.18 


Nov. C 


4.56 


4.148 





199 


10.38 


6 


15 


200 


1.114 


5.38 


0.785 


7.86 


16 


14.53 


4.333 





169 


10.48 


6 


7 


300 


1.151 


4.7( 


0.864 


7.47 


26 


24.50 


4.485 


+ 1 


135 


10.52 


6 


+ 1 


400 


1.177 


3.98 


0.93(5 


7.02 


Dec. 6 


4.47 


4.602 


2 


98 


10.51 


6 


- 3 




1871. 


1S79. 


16 
26 
36 


14.45 

24.42 
34.39 


4.681 

4.721 

+4.718 


3 
4 

+ 5 


60 
+ 19 
— 24 


10.46 

10.39 

+10.29 


6 

6 

— 6 


6 

9 

— 11 



100 
200 
300 
400 


—1.169 

1.189 
1.199 
1.198 

1.188 


—4.23 
3.49 
2.72 
1.93 
1.12 


+0.913 
0.980 
1.040 
1.090 
1.132 


+7.18 
6.69 
6.14 
5.54 
4.89 
































1872 B. 


1880 B. 




* 


6 0, 




May 28.1. 














* 


c5 Mean i 


sun, 


May 27.4. 







100 
200 
300 


—1.192—1.40 
1.175—0.59 
1.148+0.23 
1.1 11! 1.04 


+ 1.119+5.11 
1.155 4.43 
1.181 3.71 
1.197j 2.96 

+1.21j3+2.19 
















400 


—1.065+1.83 



SPECIAL TABLES. 



115 





TABLE XXIV.—* 9 Camelopardalis. 




h m o ' 
R.A. 4 41.1. Dec. +66 7. 


Upper transit at fictitious meridian. 


i ■ 




A G a 




A 3 <5 


Side- 
real 


AnO 
6 6 


A Q <5 ! 


A^a 1 Aq<J 


Sidereal Day. 


\f pan T^fiv 










Day. 




! 


" j * 


utrciu xjixy * 


1870. 


Var. in 
10y. 


Diff. foi 
10 d. 


1870. 


Var. in 
10 y. 


Diff for 
10 d. 




1865. 

B " 


I 

1873. 

a " 


: 




' 













100 


+1.6001—5 63 
1.468 6 27 


—1.987+2.20 
1.924 2.93 






















8 






// 






200 


1.321 6.85i 


1.845; 3.74 


0, Jan. 


— 0.58 


4-3.023 


+ 9 


— 63 


4- 7.86 


— 7 


4-237 


300 


1.164! 7.38 1 


1.752! 4.47 


10 


+ 9.39 


2.909 


11 


163 


10.12 


7 


212 


400 


0.996; 7.84 


1.643; 5.15 


20 


19.36 


2.699 


13 


256 


12.09 


6 


180 








30 


29.33 


2.402 


14 


336 


13.70 


5 


141 




1866. 


1874. 


Feb. 9 


8.31 


2.032 


15 


400 


14.89 


4 


96 





+ 1.054 


—7.69 


—1.631+4.92 


19 

Mar. 1 

11 


18.28 

0.25 

10.23 


1.608 
1.151 

0.685 


15 
15 
15 


444 

465 
463 


15.62 
15.85 
15.60 


2 

- 1 



4- 48 

— 1 

50 


100 
200 
300 


0.879 
0.697 
0.509 


8.11 

8.45 
8.72 


1.564 
1.434 
1.293 


5.58 

6.19 
6.75 


21 


20 20 


4-0.232 


14 


437 


14.86 4- 1 


96 


400 


0.316 


8.92 


1.141 


7.25. { 


31 


30.17 


—0.183 


12 


390 


13.69 


2 


136 




1867. 


1875. 


100, Apr 10 


9.14 


0.540 


11 


323 


12.14 


3 


172 





+0.382 


-8.86 


— 1.1931+7. C9 1 


20 


19.12 


0.823 


9 


240 


10.27 


4 


200 


100 


+0.187 


9.00 


1.0351 7.55 1 


30 


29 09 


1.016 


7 


146 


8.17 


5 


219 


200 


—0 009 


9.07 


0.869 1 7.95 ! 


May 10 


9.06 


1.112 


4 


— 44 


5.92 


5 


230 


300 


0.205 


9.05 


0.6C3 1 8.28 ' 


20 


19.03 


1.104 


+ 2 


4- 60 


3.59 


5 


233 


400 


0.399 


8.96 


0.516, 8.54 


30 


29.01 


0.993 





163 


4- 1.28 


5 


228 




1868 B. 


1876 B. 


June 9 


7.98 


0.779 


— 2 


262 


— 0.94 


4 


215 








19 


17.95 


0.470 


4 


354 


3.01 


4 


197 





—0.334—9.00 


—0.577+8.46 


29 


27.92 


—0.075 


5 


436 


4.86 


3 


173 


100 


0.5251 8.85 


0.395! 8.68 


! . July 9 


7.90 


4-0.398 


7 


507 


6.45 


2 


144 


200 
300 


0.712i 8.63 

0.893. 8.33 


209! 8.82 
— 0.022 1 8.89 


200, 19 


17.87 


0.935 


8 


565* 


7.73 4- 1 


113 


400 


1.065, 7.96 


+0.1 65 8.89 


29 


27.84 


1.525 


8 


612 


8.68 — 1 


79 








Aug. 8 


682 


2.155 


9 


646 


9.30 


2 


43 




1869. 


1877. 


18 
28 


16.79 
26.76 


2.812 
3.486 


9 
9 


667 
678 


9.55 
9.45 


3 
5 


— 7 

+ 28 


C 
100 
200 


— 1.007 
1.173 
1.329 


—8.10 
7.68 
7.20 


+0.102 
0.289 
0.474 


+8.90 

8.85 
8.73 j 


Sept. 7 


5.73 


4.164 


8 


676 


8.99 


6 


63 


300 


1.472 


6.65 


0.655 


8.54 


17 


15.71 


4.835 


7 


665 


8.19 


8 


97 


400 


1.602| 6.06 


0.832 


8.27 


27 


25.68 


5.490 


6 


643 


7.06 


9 


129 








Oct. 7 


5.65 


6 118 


4 


611 


5.61 


11 


160 




1870. 


1878. 


17 


15.62 


6.7C9 


2 


570 


3.87 


12 


187 



























—1.560 


-6.26 


+0.773+8.36 1 


300, 27 


25.60 


7.254 


- 1 


517 


— 1.87 


13 


212 


100 


1.681 


5.63 


0.945 


8.06 


Nov. 6 


4.57 


7.740 


+ 2 


453 


4- 0.36 


14 


233 


200 


1.787 


4.95 


1.110 


7.63 


16 


14.54 


8.157 


4 


330 


2.77 


15 


249 


; 300 


1.877 


4.23 


1.266 


7.23 


26 


24.52 


8 496 


7 


296 


5.32 


15 


259 


i 400 


1.951J 3.47, 


1.411 6.74 


Dec. 6 


4.49 


8.747 


10 


204 


7.94 


16 


263 


i 


1871. 


1879. 


16 
26 
36 


14.46 
24.43 
34.41 


8.901 

8.954 

4-8.905 


12 
15 

4-16 


104 
+ 2 
—101 


10.56 

13.11 

4-15.50 


16 

15 

—15 


260 

249 

+229 




100 

204. 

\ 30(. 


—1.928 
1.991 
2.037 
2.065 


-3.731 
2.95' 

2.15 
1 34: 


+1.363 
1.502 
1.628 
1.741 


+6.90 1 
6.36 i 
5.76 i 
5 11 










400 


2.076 


0.52 


L839 


sj.ll 

4.42 












1872 B. 


1880 B. 




*-6 0, 




June 2.1. 










>|c 6 Mean 


Sun, 


June 1 5. 


C 


—2.074 


-0.80: 


+1.808+4.66 




>jc S Mean 


Sun, 


Dec. 1.1. 


10( 


2.074 


+003; 


1.890 3.94 ■ 










200 


2.155 


0.85' 


1.969 3.18 










300 


2.020 


i.o; 


2.025 2.40 j 


1 








400 


— 1. 968+ 2. 47 

i 


+2.UG4+1.59 



116 



SPECIAL TABLES. 







TABLE XXIV.- 


i Aurigae. 






h m 
E.A. 4 48.5. 


o / 
Dec. + 32 57. 


Upper transit at fictitious meridian. 






A a 




i 


V 


Side- 
real 


A « a 


A Q<5 


A ^ a 


A Q<5 


Sidereal Day. 












Day. 










iVkt^tlll JL/Q'Y « 




i 
















■ 




1870. 


Var.in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s 


1873. 

8 " 



















100 


+0.903 

0.805 


—5.85 
6.471 


—1.220 
1.164 


+2.43 
3.21 


















! 


, 


s 






// 






200 


0.701 


7.04! 


1.099 


3.97 


0,Jan. 


— 0.53 


+L483 


+ 2 


+ 16 


+ 3.37 


— 3 


+ 69 


300 


0.590 


7.55 


1.024 


4.68 


10 


+ 9.39 


1.474 


3 


— 34 


4.03 


3 


61 


400 


0,473 


7.99 


0.942 


5.36 


20 


19.37 


1.416 


3 


82 


4.59 


2 


50 








30 


29.34 


1.311 


4 


125 


5.03 


2 


37 




1866. 


1874. . 


Feb. 9 


8.31 


1.168 


4 


161 


5.32 


1 


21 





+0.513 


—7.85 


—0.970 


+5.14 


19 

Mar. 1 

11 

21 


18.28 

0.26 

10.23 

20.20 


0.992 
0.796 
0.594 
0.394 


4 
4 
5 
5 


188 
201 
204 
195 


5.44 

5.39 
5.15 
4.76 


1 
- 1 





+ 4 

— 15 

32 

47 


100 

200 

"300 

400 


0.394 
0.271 
0.146 
0.019 


8.25 
8.57 
8.83 
9.00 


0.883 
0.788 
0.687 
0.580 


5.78 
6.38 
6.92 
7.41 


31 


30.18 


0.208 


4 


173 


4.22 


+ 1 


60 




1867. 


1875. 


100, Apr. 10 


9.15 


+0.051 


3 


141 


3.56 


1 


70 





+0.062—8.95 


—0.616 


+7.25 


20 


19.12 


-0.072 


2 


100 


2.83 


1 


75 


100 


—0.065 


9.07 


0.506 


7.70 


30 


29.09 


0.148 


2 


52 


2.06 


2 


77 


200 


191 


9.11 


0.393 


8.08 


May 10 


9.07 


0.175 


1 


— 1 


1.30 


2 


74 


300 


0.315 


9.08 


0.276 


8.39 


20 


19.04 


0.150 


+ 3 


+ 52 


+ 0.59 


2 


67 


400 


0.436 


8.96 


0.156 


8.64 


30 


29.01 


—0.072 





104 


— 0.04 


1 


58 




1868 B. 


1876 B. 


June 9 


7.98 


+0.056 


— 1 


154 


0.56 


+ 1 


46 








19 


17.96 


0.234 


1 


200 


0.95 





31 





—0.396—9.01 


—0.197 


+8.56 


29 


27.93 


0.454 


2 


240 


1.18 


— 1 


— 15 


100 


0.515 


8.84 


—0.077 


8.76 


July 9 


7.90. 


0.712 


2 


275 


1.26 


1 





200 


0.629 


8.60 


+0.044 


8.89 
















300 


737 


8.28 


0.165 


8.94 


1200, 19 


17.88 


1.001 


2 


302 


1.18 


2 


+ 14 


400 


0.839 


7.89 


0.284 


8.92 


I 29 


27.85 


1.314 


2 


323 


0.98 


2 


27 








! Aug. 8 


6.82 


1.645 


3 


339 


0.64 


2 


40 




1869. 


1877. 


18 


16.79 


1.989 


3 


348 


— 0.18 


3 


50 





—0.806—8.02 


+0.245 -1-8.94 


26 


26.77 


2.339 


3 


351 


+ 0.36 


3 


57 


100 
200 


0.903 
0.9P2 


7.59 
7.09 


0.362 
0.477 


8.87 
8.72 


Sept. 7 


5.74 


2.689 


3 


349 


0.96 


4 


63 


300 


1.072 


6.52 


0.589 


8.51 


17 


15.71 


3.035 


3 


342 


1.62 


5 


68 


400 


1.142 


5.91 


0.698 


8.22 


27 


25.63 


3.372 


2 


333 


2.31 


6 


70 








Oct. 7 


5.66 


3.700 


' 2 


320 


3.02 


6 


72 




1870. 


1878. 


17 


15.63 


4.010 


— 1 


301 


3.74 


6 


73 



























—1.120 


—6.12 


+0.660 


+8.33 


300, 27 


25.60 


4.300 





279 


4.48 


7 


75 


100 


1.184 


5.47 


0.763 


7.99 


Nov. 6 


4.57 


4.567 





252 


5.24 


7 


77 


200 


1.237 


4.78 


0.860 


7.59 


16 


14.55 


4.803 





220 


6.00 


8 


77 


300 


1.280 


4.04 


0.950 


7.13 


26 


1 24.52 


5.006 


+ 1 


184 


6.78 


8 


78 


400 


1.312 


3.27 


1.033 


6.61 


Dec. 6 


4.49 


5.1fc9 


2 


142 


7.56 


8 


78 




1871. 


1879. 


16 
26 
36 


14.47 
24.44 
34.41 


5.289 

5.361 

+5.382 


3 

4 

r 4 


97 
+ 47 
— 4 


8.33 

9.07 

+ 9.77 


8 

8 

— 8 


76 

72 

+ 66 



100 
200 
300 


—1.302—3.53 
1.3271 2.75 

1.340 1.94 

1.341 1.12 


+1.006 
1.083 
1.151 
12 


+6.79 
6.23 
5.62 
4.95 












400 


1.332; 0.30 


1.259 


4.25 














1872 B. 


1880 B. 




* 


d 0, 


June 3.9. 












* 


d Mean Sun, 


June 3.4. 







—1.336 


—0.57 


+1.244 


+4.49 












100 


1.319 


+0.26 


1.285 


3.76 












200 


1.290 


1.08 


1.317 


2.99 












300 


1.251 


1.89 


1.337 


2.20 


, — 










40-0—1.202+2.69 


+ h345 


+ 1.38 



SPECIAL TABLES. 



117 





TABLE XXIY.-ll Orionis. 






h 
R.A. 4 


m 
57.1. 




o / 

Dec. + 15 13. 




Upper transit at fictitious meridian. 








A <z 






a J ,'side-i . 
^nf || real Ana 


A Q<> 


Aq<Z 


A Q<* 




Sidereal Day. 


Mean Day. 








i'Day.| 
II 










1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for. 
10 d. 1 


1865. 

s 


1873. 

s " 




















0+0.743—6.08 
1001 0.654| 6.69 


—1.042 

0.988 


+2.69 i 
3.47 1 


























s 






a 






200 


0.559 7.24 


0.926 


4.22 ; 




0, Jan. 


— 0.57 


+1.311 


+ 2 


+ 21 


+ 0.45 


— 1 


— 32 ; 


300 


0.459; 7.73 


0.856 


4.92 




10 J 


+ 9.40 


1.309 


2 


— 23 


+ 0.14 


1 


29 


400 


0.3551 8.16 


0.780 


5.59 I 




20 


19.37 


1.267 


2 


63 


— 0.14 


1 


27 










30 ! 


29.35 


1.184 


3 


102 


0.40 


1 


24 




1866. 


1874. 1 




Feb. 9 1 


8.32 


1.065 


3 


134 


0.63 


1 


22 





+0.390—8.02 


—0.807+5.37 




19 


18.29 


0.919 


4 


159 


0.84 





20 


100 


0.284 8.40 


0.726 6.01 




Mar. 1 


0.26 


0.751 


4 


174 


1.04 





19 i 


200 


0.175 8.70 


0.639 6.59 j 




11 


10.24 


0.575 


4 


177 


1.22 





18 


300 +0.0651 8.93 


0.548' 7.12 : 




81 


20.21 


0.400 


3 


171 


1.39 





15 


400 


— 0.046[ 9.08 


0.452; 7.59 




31 


30.18 


0.237 


3 


154 


1.52 





11 




1867. 


1875. 




100, Apr. 10 


9.15 


+0.096 


3 


127 


1.60 





- • 





— 0.008 1 — 9.04 


—0.485+7.44 




20 


19.13 


—0.015 


2 


92 


1.63 





+ 1 


100 


0.119 


9.14 


0.386' 7.86 




30 


29.10 


0.090 


2 


54 


1.57 





11 t 


200 


0.229 


9.16 


0.285 8.23 • 




May 10 


9.07 


0,121 


1 


— 9 


1.41 





21 ! 


300 


0.336 


9.09 


0.1811 8.53 




20 


19.05 


0.107 


+ 1 


+ 36 


1.14 





32 | 


400 


0.441 


8.95 


0.076J 8.74 




30 


2^.02 


-0.048 





82 


0.76 





44 ! 




1868 B. 


1S76B. 




June 9 


7.99 


+0.057 





127 


— 0.26 


1 


57 j 










19 


17.96 


0.204 


— 1 


167 


+ 0.37 


1 


67 





—0.406—9.01 


—0.112 


+8.68 




29 


27.94 


0.389 


1 


203 


1.08 


1 


76 


100 


0.508 


8.82 


—0.006 


8.85 




July 9 


7.91 


0.6C9 


1 


234 


1.89 


1 


84 


200 
300 


0.605 
0.697 


8.55 
8.20 


'+0.100 
0.205 


8.96 
8 99 




200, 19 


17.88 


0.855 


2 


259 


2.75 


2 


88 


400 


0.783 


7.79 


0.308 


8.94 




29 


27.85 


1.125 


2 


279 


3.65 


2 


89! 










Aug. 8 


6.83 


1.411 


2 


292 


4.52 


3 


85 ' 




1869. 


1877. 




18 

28 


16.80 
26.77 


1.708 
2.012 


2 
3 


301 
305 


5.35 
6.11 


3 
4 


80 
71 



100 


—0.7551—7.93 
0.836 7.47 


+0.273 
0.375 


+8.97 
8.87 


















' 200 


0.910 6.95 


0.474 


8.70 




Sept. 7 


5.74 


2.317 


3 


305 


6.76 


4 


*9 .' 300 


0.975 6.37 


0.568 


8.46 


1 


17 


15.72 


,2.621 


3 


301 


7.28 


4 


46 400 


1.0321 5.74 


0.660 


8.15 




27 


25.69 


2.918 


2 


293 


7.67 


4 


31 










Oct. 7 


5.66 


3.206 


2 


282 


7.89 


5 


15 




1870. 


1S78. 




17 


15.64 


3.480 


2 


267 


7.97 


5 


+ 1 





























—1.014 


—5.95 


+0.630+8.27 




J 300, 27 


25.61 


3.739 


2 


249 


7.92 


5 


— 12 


100 


1.065 


5.28 


0.717 


7.91 




Nov. 6 


4.58 


3.977 


— 1 


226 


7.75 


5 


23 


200 


1.106 


4.57 


0.799 


7.49 




16 


14.55 


4.190 





200 


7.47 


5 


30 


300 


1.139 


3.82 


0.874 7.01 


; 


26 


24.53 


4.375 


+ 1 


169 


7.16 


6 


33 


400 


1.161 


3.04 


0.942! 6.46 




Dec. 6 


4.50 


4.526 


1 


133 


6.81 


6 


36 




1871. 


1879. 




16 
26 
36 


14.47 
24.44 
34.42 


4.640 
4.711 

+4.739 


2 

2 

+ 3 


93 

50 

+ 7 


6.44 

6.08 

+ 5.74 


6 

6 
— 6 


37 

35 

— 32 



100 
200 


— 1.1541—3.31 
1.170J 2.51 
1.176 1.69 


+0.9*9 

0.983 
1.037 


+6.65 
6.07 
5.44 


r 


















300 


1.171 


0.87 


1.084 


4.76 




i 










400 


1.157 


0.03 


1J21 


4l03 
















1873 B. 


I88OB. 






* c5 0, 


June 6 


.0. 












i 

\ 


>fc 6 Mean Sun, 


June 5 


5. 





100 
200 
300 
400 


—1.163 
1.U2 
1.112 
1.073 

—1.024 


—0.31 

+0.52 

1.35 

2.16 

+2.95 


+ 1.110+4.28 
1.141| 3.54 
I 1.163 2.76 
1 1.175! 1.95 
+1.177+1.13 

! 


1 

1 



118 



SPECIAL TABLES. 





TABLE XXIV.—* 74 Camelopardalis (B); Groombridge 966. 




E.A. 5 22.4. D§c. + 74 57. 


Upper transit at fictitious meridian. 




j A O a 


A ©<> 


Side- 
real 


A Q a 


A ^ 


A Q a 


A Q<> 










Day. 










Sidereal Day. 


















i>l L tlU UcLj . 


1870. 


7ar. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1805. 


1873. 

s " 



















100 


+1.951 

1.758 


—6.69 
7.25 


-2.553 
2.449 


+3.44 

4.20 






















8 






// 






200 


1.550 


7.76 


2.323 


4.92 


0,Jan. 


— 0.55 


+ 5.055- 


-H2 


— 1 


+ 5.26 


—11 


+286 


300 


1.328 


8.19 


2.179 


5.60 


10 


+ 9.42 


4.971 


17 


167 


8.03 


11 


267 


400 


1.C93 


8.56 


2.017 


6.23 


20 


19.39 


4.724 


21 


325 


10.58 


10 


241 








30 


29.36 


4.327 


25 


467 


12.83 


9 


206 




1800. 


1874. 


Feb. 9 


8.34 


3.798 


28 


587 


14.67 


7 


162 



























+1.174 


—8.45 


—2.074 


+6.02 


19 


18.31 


3.163 


30 


677 


16.05 


6 


113 


100 


0.933 


8.76 


1 901 


6.62 


Mar. 1 


0.28 


2.453 


30 


736 


16.92 


4 


60 


200 


0.683 


9.00 


1.713 


7.16 


11 


10.25 


1.703 


31 


758 


17.25 


2 


+ 5 
— 49 


300 


0.428 


9.16 


1.511 


7.64 


21 


20.23 


0.949 


29 


745 


17.02 


— 1 


400 


0.169 


9.25 


1.297 


8.C5 


3J 


30.20 


+ 0.224 


28 


698 


16.27 


+ 1 


101 




1SG7. 


1875. 


100, Apr. 10 


9.17 


— 0.436 


25 


619 


15.03 


3 


147 





+0.256 


—9.23 


—1.370 


+7.92 


20 


19.15 


1.004 


22 


513 


13.35 


4 


187 


100 


—0.004 


9.25 


1.149 


8.29 


30 


29.12 


1.455 


18 


385 


11.30 


5 


. 220 


200 


0.264 


9.20 


0.918 


8.59 


May 10 


9.09 


1.770 


14 


242 


8.98 


6 


244 


300 


0.522 


9.07 


0.680 


8.82 


20 


19.06 


1.937 


10 


— 90 


6.46 


6 


259 


400 


0.775 


8.85 


0.437 


8.98 


30 


29.04 


1.949 


5 


+ 65 


3.83 


7 


266 




1808 25. 


187G B. 


June 9 


8.01 


1.807 


+ 1 


219 


+ 1.18 


6 


264 








19 


17.98 


1.513 


— 4 


367 


- 1.42 


6 


205 





—0.690 


—8.94 


—0.520 


+8.94 


29 


27.95 


1.076 


8 


505 


3.89 


5 


238 


100 


0.939 


8.67 


0.274 


9.05 


July 9 


7.93 


— 0.508 


12 


630 


6.17 


4 


216 


200 


1.179 


8.33 


—0.025 


9.08 
















300 


1.408 


7.92 


+0.224 


9 04 


200, 19 


17.89 


+ 0.178 


15 


739 


8.20 


3 


188 


400 


1.624 


7.44 


0.470 


8.93 


29 


27.87 


0.966 


18 


833 


9.92 


+ 1 


157 








Aug. 8 


6.84 


1.838 


20 


909 


11.33 


— 1 


123 




1809. 


1877. 


18 
28 


16.82 
26.79 


2.778 
3.768 


21 

22 


968 

1008 


12.37 
13.03 


3 
5 


86 
47 



100 
200 


—1.5521—7.61 

1.759 7.09 
1.950 6.50 


+0.387 
0.632 

0.872 


+8.97 

8.81 
8.57 


Sept. 7 


5.76 


4.789 


22 


1032 


13.30 


7 


— 7 


300 


2.124 


5.86 


1.105 


8.26 


17 


15.74 


5.826 


21 


1039 


13.17 


9 


+ 33 


400 


2.278 


5.18 


1.330 


7.89 


27 


25.71 


6.861 


20 


1027 


12.64 


11 


73 








Oct. 7 


5.68 


7.874 


18 


997 


11.72 


13 


112 




1870. 


1878. 


17 


15.65 


8.849 


15 


950 


10.41 


15 


150 



























—2.228 


—5.41 


+1.256 


+8.02 


300, 27 


25.63 


9.767 


12 


883 


8.73 


17 


185 


100 


2.370 


4.69 


1.473 


7.60 


Nov. 6 


4.60 


10.608 


8 


796 


6.72 


19 


217 


200 


2.490 


3.91 


1.679 


7.11 


16 


14.57 


11.352 


— 4 


690 


4.40 


20 


245 


300 


2 589 


3.15 


1.872 


6.57 


26 


24.54 


11.981 


+ 1 


565 


— 1.83 


21 


268 


400 


2.666 


2.34 


2.049 


5.96 


Dec. 6 


4.52 


12.477 


6 


423 


+ 0.93 


22 


283 




18^ 


11. 


1879. 


16 
26 
36 


14.49 
24.46 
34.44 


12.823 

13.010 

+13.030 


11 
16 

+22 


268 
+104 
— 63 


3.81 
6.73 

+ 9.58 


23 
23 

-23 


291 

290 
+279 



100 
200 
300 
400 


—2.643 

2.704 
2.742 
2.756 
2.747 


—2.62 
1.79 

0.95 
—0.11 
+0.74 


+1.991 
2.157 
2.306 
2.43(J 
2.546 


+6.17 
5.54 
4.85 
4.12 
3.36 












1872 B. 


1880 B. 




-X- 6 0, June 12.1. 










^c 6 Mean Sun, June 12.0. 





—2.753 


+0.45 


+2.5121+3.62 




■% 8 Mean Sun, Dec. 11.6. 


100 

200 


2.728 
2.681 


1.29 
2.12 


2.607 2.84 
2.682 2 03 






300 


2.612 


2.92 


2.7331 1.20 


1 
















400 


—2.521 


+3.70 


+2.762 


+0.35 



SPECIAL TABLES. 



119 



1 




TABLE XXIV.-tf Orionis. 






h m 
R.A. 5 25.4. 


o / 

Dec. — 24. 


Upper transit at fictitious meridian. 






A a 


A C^ 


Side- 
real 


A a a 


A Q d 


A Q a 


^ 


Sidereal Day. 


IMeanDay. 








Day. 










1870. 


Var. in 

10 y. 


Diff. for 
10(1. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




186.5. 

s 


1873. 

s " 



















100 


+0.632 
0.550 


—6.77 
7.33 


—0.913 +3.53 


















0.861 


4.28 






s 






// 






200 


0.463 


7.8-J 


0.803 


5.00 


0,Jan. 


- 0.55 


+1.319 


+ 1 


+ 38 


— 1.87 





—128 


300 


0.372 


8.25 


7.38 


5.67 


10 


+ 9.42 


1.336 


1 


— 5 


3.10 





115 


400 


0.278 


8.61 


0.667 


6.30 


20 


19.39 


1.309 


2 


48 


4.17 


— 1 


100 








30 


29.37 


1.240 


2 


88 


5.10 


1 


84 




1866. 


1874. 


Feb. 9 


8.34 


1.134 


2 


122 


5.85 


1 


67 



























+0.310 


—8 50 


—0.691 +6.09 


19 


18.31 


0.997 


2 


150 


6.43 





49 


100 


0.214 


8.81 


0.617 


6.68 


Mar. 1 


0.28 


0.837 


3 


169 


6.83 





30 


200 


0.116 


9.04 


0.538 


7.21 


Jl 


10.26 


0.663 


3 


177 


7.02 





— 11 


300 


+0.01/ 


9.19 


0.454 


7.69 


21 


20.23 


0.486 


3 


176 


7.04 





+ 5 


400 


—0.082 


9.26 


0.367 


8.10 


31 


30.20 


0.315 


3 


164 


6.91 


1 


23 




1867. 


1875. 


100, Apr. 10 


9.17 


0.161 


3 


143 


6.57 


1 


43 





—0.049 


-9.24 


— 0.396'+7.97 


20 


19.15 


+0.032 


2 


115 


6.06 


1 


61 


100 


0.148 


9.26 


0.307 8.33 


30 


29.12 


—0.066 


2 


79 


5.36 


1 


79 


200 


0.245 


9.20 


0.215 


8.63 


May 10 


9.09 


0.125 


1 


— 39 


4.49 


2 


95 


300 


0.340 


9.06 


0.122 


8.85 


20 


19.06 


0.143 


1 


+ 3 


3.47 


2 


110 


400 


0,433 


8.84 


0.028f 9.00 


30 


29.04 


0.119 


1 


46 


2.29 


2 


125 




1868 B. 


1876 B. 


June 9 


8.01 


-0.052 


+ 1 


87 


— 0.98 


2 


137 








19 


17.98 


+0.055 





126 


+ 0.45 


2 


146 





—0.402—8.92 


—0.0601+8.96 


29 


27.96 


0.200 





163 


1.93 


2 


150 


100 


0.492 1 8.65 


+0.035 


9.06 


July 9 


7.93 


0.381 


— 1 


196 


3.45 


2 


151 


200 
300 


0.577i 8.3C 
0.657| 7.88 


0.130 
0.223 


9.09 
9.04 


200, 19 


17.90 


0.591 


1 


224 


4.95 


3 


149 


400 


0.731J 7.39 


0.315 


8.92 


29 


27.87 


0.827 


1 


246 


6.39 


3 


138 








Aug. 8 


6.85 


1.081 


1 263 


7.70 


3 


123 




1S69. 


1877. 


18 
28 


16.82 
26.79 


1.351 
1.632 


2< 
2 


276 

284 


8 84 
9.79 


3 
3 


105 

82 



100 
200 


—0.707 
0777 
0.840 


—7.56 

7.03 

6.44 


+0.284 
0.374 
0.461 


+8.97 
8.80 
8.55 


i Sept. 7 


5.76 


1.918 


3 


289 


10.47 


3 


54 


300 


0.895 


5.79 


0.544 


8.24 


17 


15.74 


2.208 


3 


289 


10.87 


3+26 


400 


943 


5.K, 


0.623 


7.8fS 


27 


25.71 


2.495 


3 


285 


10.99 


3—4 








Oct. 7 


5.68 


2.777 


3 


279 


10.79 


3 


34 




1870. 


1878. 


17 


15.66 


3.051 


2 


268 


10.31 


4 


62 



























—0 928—5.34 


+0.597 


+7.99 


300, 27 


25.63 


3.311 


2 


253 


9.56 


4 


87 


100 


0.970 


4.61 


0.673 


7.56 


Nov. 6 


4.60 


3.555 


1 


234 


8.58 


4 


109 


200 


1.004 


3.86 


0.743 


7.C7 


16 


14.57 


3.777 


1 


209 


7.40 


4 


| 125 


300 


1.029 


3.07 


0.808 


6.52 


26 


24.55 


3.972 


— 1 


180 


6.09 


4 


135 


400 


1.045 


2.25 


0.866 


5.91 


Dec. 6 


4.52 


4.135 





146 


4.72 


4 


140 




1871. 


1879. 


16 
26 
36 


14.49 
24.46 
34.44 


4.263 

4 350 

+4.394 




+■1 

+ 2 


108 

66 

+ 22 


3.31 

1.94 

+ 0.66 


4 
4 

— 4 


140 
133 

—123 

1 


1 ° 
100 
200 


—1.0401— 2.53 
1.0501 1.70 
1.052 0.86 


+0.8471+6.13 
900! 5.49 
0.946! 4.80 








[ 






300 


1.044— 0.02 


0.984' 4 07 


| 








400 


1. 0281+0.82 
1872 B. 


1.014; 3.30 
1880B. 


I 


* 


6 0, June 12 8. 










| 


* 


6 Mean Sun, June 12.7. 







—1.034 


+0.54 


+1.005 


+3.56 










100 


1.01-2 


1.38 


1.029 


2.78 










200 


0.981 


2.20 


1.045 


1.96 










300 


0.943 


3.00 


1.052 


1.13 










400 

i 


— 0.896 4 +3.7b 


+1.050 


+0.29 1 



120 



SPECIAL TABLES. 



TABLE XXIV.-a leporis. 



h m 
R.A. 5 27.0. 



Dec. — 17 55. 



Upper transit at fictitious meridian. 



Sidereal Day- 



Mean Day 



0,Jan. 

10 

20 

30 

Feb. 9 

19 
Mar. 1 
11 
21 
31 

100, Apr. 10 

20 

30 

May 10 

20 

30 

June 9 

19 

29 

July 9 



200, 


19 




29 


Aug 


8 




18 




28 


Sept 


. 7 




17 




27 


Oct. 


7 




17 


300, 


27 


Nov 


6 




1.6 




26 


Dec 


6 

16 



- 0.55 

-f 9.42 

19.39 

29.37 

8.34 

18.31 

0.28 
10.26 
20.23 
30.20 

9.17 
19.15 
29 12 

9.09 
19.07 

29.04 

8.01 

17.98 

27.96 

7.93 

17.90 
27.87 
6.85 
16.82 
26.79 



A Q a 



1870. 



Var. in 
10 y. 



Diff. for 
]0d. 



+1.383 
1.383 
1.337 
1.250 
1.122 

0.966 
0.786 
0.591 
0.395 
0.204 

+0.031 
0.119 
0.236 
0.315 
0.353 

0.348 
0.301 
0.208 
0.077 
+0.092 

0.292 
0.521 
0.770 
1.040 
1.320 



5.77 


1.611 


15.74 


1.904 


25.71 


2 196 


5.68 


2.482 


15.66 


2.758 


25.63 


3.020 


4.60 


3.262 


14.57 


3.478 


24.55 


3.667 


4.52 


3.820 


14.49 


3.935 


24.47 


4.007 


34.44 


+4 035 



+ 1 
1 
1 

2 

2 

2 
2 
2 
' 2 
2 

2 
2 
2 

2 

1 

+ * 




— 1 

1 
1 

1 

2 

2 

2 
2 

2 

2 

2 

2 
2 

1 
1 
1 



1 



+ 22 

■ 23 

67 

108 

143 

169 
189 
197 
195 
183 

162 

134 

99 

58 
— 17 

+ 26 

70 

112 

150 

185 

215 
240 

260 
276 
286 



A <S 



1870. 



Var. in 
10 y. 



■ 3.60 
5.67 
7.52 
9.12 

10.41 

11.38 
12.03 
12.31 
12.26 

11.89 

11.18 
10.17 

8.86 
7.29 

5.48 

3.46 

- 1.28 

- 1.01 
3.35 
5.67 

7.91 
10.01 
11.90 
13.49 
14.76 



293 


15.63 


293 


16.06 


290 


16.05 


282 


15.58 


270 


14.69 


253 


13.37 


230 


11.71 


203 


9.76 


172 


7.60 


135 


5.31 


94 


2.98 


50 


+ o:«9 


+ 5 


— 1.49 



+ 1 

1 

h 1 








— 1 
1 



Diff. foi- 
10 d. 



—216 
197 
173 
145 
113 

81 

46 

— 12 

+ 21 
54 

86 
116 
144 
169 
192 

211 

224 
232 
234 
229 

218 
200 
174 
144 

108 

65 

+ 21 

- 24 

68 

111 

150 
182 
207 
224 
232 

233 
225 
-210 



* 6 ©, 

>fc 6 Mean Sun, 



June 13.2. 
June 13.1. 



Side- 
real 
Day. 




100 
200 
300 

400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




102 
201/ 
300 
400 



Aotf 



1865. 



+0.523 
0.450 
0.374 
0.295 
0.212 



-6.81 
7.36 

7.85 
8.28 
8.63 



1866. 



+0.240 

0.157 

+0.072 

—0.014 

0.100 



—8.52 
8.82 
9.05 
9.20 
9.26 



1867. 



-0.071 
0.156 
0.240 
0.321 

0.400 



-9.25 
9.26 
9.20 
9.05 

8.82 



1868 B. 



-0.373 
0.450 
0.522 
0.590 
0.652 



—8.91 
8.63 

8.28 
7.85 
7.36 



1869. 



-0.632 
0.690 
0.742 

0.788 
0.827 



-7.53 
7.00 
6.41 
5.76 
5.06 



A n a 



A Q<* 



1873. 



-0 775 
0.728 
0.676 
0.618 
0.555 



+3.57 
4.32 
5.04 
5.71 
6.33 



1S74. 



--0. 577! +6. 13 



0.511 
0.441 
0.367 
0.*291 



6.72 
7.25 
7.72 
8.12 



1875. 

—0.317 +7.99 

0.239 8.35 

0.159 8.64 

—0.078 8.86 

+0.004! 9.01 

1876 B. 



1870. 



-0.815 
0.849 
0.876 
0.895 
0.906 



—5.30 

4.58 
3.82 
3.02 
2.21 



1871. 



—0.903 
0.909 

0.908 
0.899 

0.882 



-2.48 

1.66 

—0.82 

+0.03 

0.87 



1872 B. 



—0.888 
0.867 
0.838 
0.802 

—0.759 



+0.59 
1.43 

2.25 

3.05 

+3.83 



—0.024 

+0.058 

0.139 

0.219 

0.298 



+8.97 
9.07 
9.09 
9.04 
8.91 



1877. 



+0.272 
0.348 
0.423 
0.493 
0.560 



+8.96 

8.79 
8.54 
8.22 
7.83 



1S78. 



+0.538 
0.602 
0.661 
0.715 
0.763 



+7.97 
7.54 

7.05 
6.49 

5.88 



1879. 

+0.748+6.09 
0.792! 5.45 
0.829 4.76 
0.860! 4.03 
0.883; 3.26 

1880 B. 



+0.876 
0.894 
0.906 
0.9ut 

+0.905 



+3.52 
2.73 
1.92 
1.09 

+0.24 



SPECIAL TABLES. 



121 





TABLE XXIV - 


-e Orionis. 




h m 
R.A. 5 29.6. 


Dec. — 1 17. 


Upper transit at fictitious meridian. 






A Q a 






± Q 6 


Side- 
real 


A a a 


A ^ 


A Q a 


A <^ 


Sidereal Day. 


\Ic3n Dnv 










Day. 












1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff for 
10 d. 




1865. 

8 " 


1873. 

8 



















100 


+0.626 
0.545 


—6.86 
7.41 


—0.906 

0.855 


+3.65 
4.40 






















s 






a 






200 


0.459 


7.90 


0.797 


5.11 


0, Jan. 


— 0.55 


fl.327 


4- 1 


+ 42 


— 1.97 





^133 


300 


0.368 


8.32 


0.732 


5.78 


10 


+ 9.42 


1.347 


1 


— 3 


3.24 





121 


400 


0.275 8.67 


0.662 


6.39 


20 


19.39 


1.322 


2 


46 


4.38 





106 








30 


29.37 


1.256 


2 


86 


5.36 





89 




1866. 


1874. 


Feb. 9 


8.34 


1.151 


2 


120 


6.15 





70 





+0.306—8.56 


—0.686 


+6.19 


19 

Mar. 1 

11 


18.31 

0.29 
10.26 


1.015 

0.855 
0.682 


3 
3 
3 


149 
168 
177 


6.75 
7.17 
7.39 




— 1 
1 


51 

32 

— 12 


100 
200 
300 


0.211 
0.114 

+0.015 


8.85 
9.07 
9.21 


0.612 
0.533 
0.450 


6.77 
7.30 
7.76 


21 


20.23 


0.504 


3 


177 


7.41 


1 


+ 6 


400 


—0.083 


9.27 


0.363 8.16 


31 


30.20 


0.331 


3 


166 


7.27 


1 


24 




1867. 


1875. 


100, Apr 10 


9.18 


0.175 


2 


145 


6.92 


1 


44 





—0.050 


—9.26 


—0.393 


+8.03 


20 


19.15 


+0.044 


2 


116 


6.39 


1 


62 


100 


0.148 


9.27 


0.304 


8.39 


30 


29.12 


-0.056 


2 


82 


5.68 


I 


81 


200 


0.245 


9.19 


0.213 


8.67 


May 10 


9.09 


0.119 


1 


43 


4.78 


2 


98 


300 


0.339 


9.04 


0.120 


8.89 


2u 


19.09 


0.142 


+ 1 


— 2 


3.71 


2 


114 


400 


0.431 


8.81 


0.026 


9.03 


30 


29.04 


0.123 





+ 41 


2.49 


o 


129 




1868 B. 


1876 B. 


June 9 


8.01 


—0.060 





83 


— 1.14 


2 


141 








19 


17.99 


+0.043 





123 


+ 0.32 


2 


149 





—0.399 


—8.89 


—0.058 


+8.99 


29 


27.96 


0.185 


— 1 


159 


1.83 


2 


154 


100 


0.489 


8.61 


+0.036 


9.08 


July 9 


7.93 


0.360 


1 


191 


3.38 


2 


154 


200 
300 


0.574 
0.653 


8.25 
7.82 


0.130 
0.223 


9.10 
9.04 


' 200, 19 


17.90 


0.566 


2 


220 


4.90 


2 


150 


400 


0.727 


7.32 


0.313 8.90 


29 


27.87 


0.798 


2 


242 


6.36 


3 


141 








Aug. 8 


6.85 


1.049 


2 


260 


7.70 


3 


126 




1869. 


1877. 


18 


16.82 


1.316 


2 


273 


8.87 


3 


107 





—0.703 


— 7J9 


+0.283 
0.372 


+8.96 

8,77 


28 


26.79 


1.594 


2 


283 


9.82 


3 


83 


100 


0.772 


6?95 


















200 


0.835 


6.35 


0.459 


8.52 


Sept. 7 


5.77 


1.880 


3 


288 


10.52 


3 


56 


300 


0.890 


5.70 


0.541 


8.19 


17 


15.74 


2.169 


3 


288 


10.93 


3 


+ 25 


400 


0.937 


5.00 


0.620 


7.80 


27 


25.71 


2.455 


3 


286 


11.02 


3 


— 6 








Oct. 7 


5.69 


2.739 


3 


280 


10.81 


3 


36 




1870. 


1878. 


17 


15.66 


3.013 


2 


270 


10.30 


4 


65 



























—0.922 


—5.24 


+0.594;+7.94 


300/ 27 


25.63 


* 3.277 


2 


256 


9 51 


4 


92 


100 


0.964 


4.51 


0.669 


7.50 


Nov. 6 


4.60 


3.524 


1 


236 


8.47 


4 


114 


200 


0.997 


3.75 


0.739 


7.00 


16 


14.58 


3.747 


— 1 


212 


7.24 


4 


. 131 


300 


1.022 


2.95 


0.803 


6.44 


26 


24.55 


3.945 





183 


5.87 


4 


141 


400 


1.038 


2.13 


0.861 


5.82 


Dec. 6 


4.52 


4.111 





150 


4.43 


4 


146 




1871. 


1879. 


16 
26 
36 


14.49 
24.46 
34.44 


4 243 

4.333 

+4.381 


+ 1 
1 

+ 1 


112 

70 
+ 26 


2.96 
1.54 

+ 0.18 


4 

4 

— 4 


145 

140 

—130 



100 
200 
300 


— 1.Q34 
1.044 
1.045 
1.037 


—2.41 
158 

—0.74 

+0.11 

0.95 


+0.842 
0.895 
0.940 
0.978 


+6.04 
5.39 
4.69 
3 Qfi 










400 


1.020 


1.008 3.19 












1872 B. 


1880 B. 




* 6 ©, 


Tune 13.8. 












>jc d Mean Sun, . 


June 13.8. 







—1.027 


+0.67 


+0.999+3.45 


\ 








100 


1.005 


1.51 


1X»3 


2.66 


I 








200 


0.974 


2.33 


1.038 


1.84 










300 


0.936 


3.13 


1.045 


1.01 


j 








400 


—0.890+3.90 


+1.043+0.16 
1 



122 



SPECIAL TABLES. 



I 






TABLE XXIV.- 


a Columbie. 






h m 
E.A. 5 34.9. 


o / 

Dec. — 34 9. 


Upper transit at fictitious meridian. 








V 




A Q d 


Side- 
real 
Day. 


A Q a 


*0* 


A « a 


*Q* 


Sidereal Day. 


Mean Day. 




















1870. 


Var.in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 

8 



















100 


+0.411 
0.351 


—6.98 
7.52 


—0.626 
0.586 


+3.80 
4.54 






















s 






// 






200 


0.287 


8.00 


0.541 


5.24 


0, Jan. 


— 0.55 


-f-1.600 





+ 2 


— 4.56 


+ 2 


—284 


300 


0.221 


8.40 


0.492 


5.90 


10 


+ 9.43 


1.577 


+ 1 


— 48 


7.29 


2 


261 


400 


0.153 


8.73 


0.439 


6.52 


20 


19.40 


1.504 


1 


98 


9.75 


2 


229 








30 


29.37 


1.382 


1 


144 


11.86 


1 


193 




1866. 


1874. 


Feb. 9 


8.34 


1.219 


2 


182 


13.60 


+ 1 


153 

























+0.176—8.63 


—0.458 


+6.31 


19 


18 32 


1.021 


2 


211 


14.91 





110 


100 


0.107 


8.91 


0.4G2 


' 6.88 


Mar. 1 


0.29 


0.799 


2 


232 


15.79 





65 


20(1 


+0.037 


9.12 


0.344 


7.40 


11 


10.26 


0.560 


2 


243 


16.20 





— 19 


300 


—0.034 


9.24 


0.282 


7.85 


21 


20.24 


0.316 


3 


242 


16.17 





+ 26 


400 


0.104 


9.29 


0.219 


8.24 


31 


30.21 


+0.078 


3 


230 


15.69 


— 1 


70 




1867. 


1875. 


100, Apr. 10 


9.18 


-0.142 


3 


209 


14.79 


1 


112 





—0.080—9.28 


—0.240 


+8.12 


20 


19.15 


0.338 


2 


180 


13.47 


1 


152 


100 


0.150 


9.27 


0.176 


8.46 


30 


29.13 


0.500 


2 


143 


11.77 


2 


188 


200 


0.218 


9.18 


0.110 


8.73 


May 10 


9.10 


0.622 


1 


100 


9.73 


2 


219 


300 


0.285 


9.0J 


-0.043 


8.93 


20 


19.07 


0.699 


+ 1 


54 


7.41 


2 


246 


400 


0.349 


8.77 


+0.023 


9.06 


30 


29.04 


0.730 





— 6 


4.83 


3 


269 




1868 B. 


1876 B. 


June 9 


8.02 


0.712 





+ 42 


— 2.06 


3 


284 








19 


17.99 


0.646 





89 


+ 0.82 


3 


292 





—0.327 


—8.86 


+0.002 


+9.02 


29 


27.96 


0.534 





134 


3.76 


3 


293 


100 


0.389 


8.56 


0.069 


9.10 


July 9 


7.93 


0.379 


— 1 


175 


6.66 


3 


285 


200 
300 


0.448 
0.502 


S.18 
7.74 


0.136 
0.201 


9.10 
9.03 


200, 19 


17.91 


—0.185 


1 


213 


9.43 


3 


268 


400 


0.552 


7.23 


0.265 


8.88 


29 


27.88 


+0.045 


1 


246 


12.01 


3 


246 








Aug. 8 


6.85 


0.304 


2 


269 


14.34 


3 


214 




1869. 


1877. 


18 
28 


16.83 

26.80 


0.585 
0.886 


2 


290 
308 


16,28 

17.78 


3 
3 


173 

127 



100 


—0.535 
0.582 


—7.41 

6.85 


+0.244 
0.306 


+8.94 

8.74 


Sept. 7 


5.77 


1.198 


3 


317 


18.81 


2 


77 


200 
300 


0.624 
0.6o9 


6.24 

5.58 


0.367 
0.424 


8.47 
8.13 


17 


15.74 


1.518 


3 


321 


19.29 


2 


+ 22 


400 


0.690 


4.87 


0.478 


7 .73 


27 


25.72 


1.838 


2 


318 


19.2? 


2 


— 33 








Oct. 7 


5.69 


2.152 


2 


311 


18.62 


2 


90 




1870. 


1878. 


17 


15.66 


2.457 


2 


297 


17.43 


2 


144 



























—0.680 


—5.11 


+0.460 


+7.87 


300, 27 


25.63 


2.743 


1 


275 


15.76 


1 


191 


100 


0.70(1 


4.38 


0.511 


7.42 


Nov. 6 


4.61 


3.004 


1 


248 


13.64 


1 


233 


200 


0.726 


3.60 


0.558 


6.91 


16 


14.58 


3.237 


— 1 


216 


11.13 


1 


265 


300 


0.740 


2.80 


0.601 


6.34 


26 


24.55 


3.435 





177 


8.37 


1 


288 


400 


0.747 


1.98 


0.639 5.71 


Dee. 6 


4.53 


3.590 





134 


5.40 


1 


301 




1871. 


1S79. 


16 


14.50 


3.701 





86 


+ 2.39 


1 


301 








26 
36 


24.47 
34.44 


3.761 
+3.770 


+ 1 
+ 1 


+ 35 
— 17 


— 0.59 

— 3.45 


1 
— 1 


294 
—276 



100 
200 
300 


— 0.746 
0.749 
0.746 
0.736 


— 2.ZO 

1.42 

—0.58 

+0.27 

1.11 


+0.627 
0.661 
0.690 
0.714 


-j-o.y.i 
5.27 
4.57 

3 8-> 












400 


0.720 


0^731 ! 3.04 














1873 B. 


JS80B. 




* ( 


5 0, 


June 15.1. 












* ( 


5 Mean £ 


>un, June 15.1. 





100 
200 


0.726+0.83 
0.706) T.66 
0.681 2.48 


_|_0.726+3.31 
0.739 2.51 
0.746 1.69 












300 
400 


0.6491 3.28 
—0.6131+4.05 


0.747 0.85 
+0.742+0.0J 


























1 

i 
1 

! 



SPECIAL TABLES. 



123' 





TABLE XXIV.-* 22 Camelopardalis (H.) 




h m 
R.A. 6 4.5. 


o / 

Dec. + 69 22. 


Upper transit at fictitious meridian. 












Side- 


,1 i 






A a 




V 


real 


A Q a 


A a 6 a q« A n* 


Sidereal Day. 


MeanDay. 








Day. 




I 1 
















"1 








1870. 


Var.in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 


1873. 

8 " 



















100 


+1.335 
1.157 


—7.55; —1.956 
8.02 1.843 
8.43' 1 1.715 


+4.59 
5.29 






















8 






» 






200 


0.969 


5 95 


O.Jan. 


— 0.52 


+3.863 


+ 2 


+ 140 


+ 1.51 


— 9 


+263 


300 


0.771 


8.76' 


1.573 


6.56 


10 


+ 9.45 


3.944 


5 


+ 12 


4.12 


9 


258 


400 


0.567 


9.0.2 


1.419 


7.11 


20 


19.42 


3.893 


8 


—115 


6.64 


9 


244 








30 


29.39 


3.718 


11 


234 


8.97 


8 


221 




1866. 


1874. 


Feb. 9 


8.37 


3.429 


13 


340 


11.03 


7 


189 



























+0.637 


— +5.V4 


—1.473 


+6.94 


19 


18.34 


3.044 


15 


428 


12.73 


6 


150 


100 0.429 


9.14! 


1.310 


7.45 


Mar. 1 


0.31 


2.582 


16 


492 


14.01 


5 


105 


200 0.217 


9.27 


1.138 


7.90 


11 


10.28 


2.067 


17 


532 


14.81 


4 


56 


300+0.004 


9.31 


0.956 


8.28 


21 


20.26 


1.527 


18 


544 


15.12 


2 


+ 6 


400—0.210 


9.28 


0.767 


8.60 


31 


30.23 


0.988 


17 


530 


14.93 


— 1 


— 44 




1867. 


1875. 


100, Apr. 10 


9.20 


0.476 


16 


490 


14.25 





91 





—0.138 


—9.30 


—0.832 


+8.50 


20 


19.18 


+0.016 


15 


428 


13.12 


+ 2 


134 


100 


0.351 


9.20 


638 


8.77 


30 


29.15 


-0.373 


13 


347 


11.59 


3 


171 


200 


0.561 


9.03 


0.440 


8.96 


May 10 


9.12 


0.674 


11 


252 


9.72 


4 


201 


300 


0.765 


8.78 


0.238 


9.09 


20 


19.09 


0.873 


9 


146 


7.59 


4 


224 


400 


0.963 


8.45 


0.035 


9.13 


30 


29.07 


0.964 


6 


— 35 


5.27 


5 


239 




1868 B. 


1876 B. 


June 9 


8.04 


943 


3 


+ 78 


2.83 


5 


247 








19 


18.01 


0.810 


+ 1 


188 


+ 0.36 


5 


247 





—0.897 


—8.57 


—0.104 


+9.13 


29 


27.98 


0.569 


— 2 


293 


— 2.08 


4 


240 


100 


1.089 


8.20 


+0.100 


9.12 


July 9 


7.98 


—0.226 


5 


391 


4.42 


4 


228 


200 
300 


1.271 
1.442 


7.75 
7.23 


0.305 
0.505 


9.04 

8.89 


200, 19 


17.93 


+0.210 


7' 


480 


6.62 


3 


210 


400 


1.600 


6.66 


0.701 


8.66 


29 


27.90 


0.730 


10 


558 


8.61 


2 


188 








Aug. 8 


6.87 


1.322 


12 


625 


10.36 


+ 1 


162 




1869. 


1877. 


18 
28 


16.85 

26.82 


1.975 

2.677 


14 
15 


680 
724 


11.84 
13.01 


— 1 
2 


133 

101 



100 
200 


—1.548 
1.697 
1.830 


—6.86 
6.24 
5.58 


+0.635 
0.829 
1.015 


+8.75 
8.47 
8.13 


Sept. 7 


5.79 


3.418 


16 


755 


13.86 


4 


67 


300 


1.948 


4.86 


1.194 


7.71 


17 


15.77 


4.184 


18 


776 


14.36 


6 


— 33 


400 


2.048 


4.11 


1.364 


7.24 


27 


25.74 


4.965 


17 


785 


14.51 


7 


+ 3 








Oct. 7 


5.71 


5.748 


17 


779 


14.29 


9 


40 




1870. 


1878. 


17 


15.68 


6.520 


16 


762 


13.71 


11 


77 



























—2.016 


—4.37 


+1.308;+7.40 


300, * 27 


25.66 


7.267 


15 


730 


12.76 


13 


113 


100 


2.105 


3.59 


1.470 6.89 


Nov. 6 


4.63 


7.974 


14 


683 


11.45 


14 


148 


200 


2.175 


2.78 


1.620[ 6.31 


16 


14.60 


8.627 


12 


620 


9.81 


16 


180 


300 


2.226 


1.95 


. 1.757 5.68 


26 


24.57 


9.208 


9 


541 


7.86 


17 


209 


400 


2.259 


1.11 


1.88l| 5.00 


Dec. 6 


4.55 


9.703 


7 


446 


5.64 


18 


233 




1871. 


1879. 


16 
26 
36 


14.52 
24.49 
34.47 


10.096 

10.375 

+10.531 


4 
— 1 

+ 2 


338 

219 

+ 93 


3.22 

- 0.66 
+ 1.97 


18 

19 

—19 


250 
261 

+262 



100 
200 


— 2.2501-1.39 
2.269—0.55 
2.269;+0.31 


+1.841 
1.954 
2.051 


+5.23 
4.52 
3.77 
















300 


2.250' 1.15 


2.131 


2.99 








400 


2.212! 1.99 


2.194 


2.18 










1872 B. 1880 B. 




•# 6 0, June 22.0. 






i 
1 




>fc 6 Mean Sun, June 22.4. 







—2.227 


+1.71+2.175 


+2.46 




>jc 8 Mean Sun, Dec. 22.0. 




100 


2.177 


2.53i 2 225 


1.64 








2001 2.108 


3.33 2.258+0.80 








300! 2.022 


4.10!l 2.270—0.05 








400i— 1.920 


+4.83 :+2.264!— 0.90 

l! 1 





























124: 



SPECIAL TABLES. 



TABLE XXIV.— ft Geminorum. 



h m 
R.A. 6 15.1. 



Dec. + 22 35. 



Upper transit at fictitious meridian. 



Sidereal Day. 



0,Jan. 

10 

20 

30 

Feb. 9 

19 
Mar. 1 
11 
21 
31 

100, Apr. 10 

20 

30 

May 10 

30 

30 

June 9 

19 

29 

July 9 



Mean Day. 



1870. 



Var. in 
10 y. 



200, 



19 

29 

Aug. 8 

18 
28 

Sept. 7 
17 
27 

Oct. 7 
17 



300, 27 

Nov. 6 

16 

26 

Dec. 6 

16 
26 
36 



0.52 

9.45 

19.43 

29.40 

8.37 

18.34 
0.32 
10.29 
20.26 
30.24 

9 21 

19.18 

2915 

9.13 

19.10 

29.07 

8.04 

18 02 

27.99 

7.96 

17.94 
27.91 

6.88 
16.85 
26.83 

5.80 
15.77 
25.74 

5.72 
15.69 

25.66 

4 63 

14.61 

24 58 

4.55 

1453 

24.50 
34.47 





+1.492 
1.570 
1.598 
1.575 
1.504 

1.391 
1.244 

1.072 
0.888 
0.703 

0.526 
0.371 
0.244 
0.152 
0.100 

0.09.1 

0.127 
0.207 
0.327 

0.485 

0.679 
0.902 
1.152 
1 422 
1.711 



2.012 
2.323 
2.642 
2.964 
3.283 

3.596 
3.902 
4.190 
4.454 
4.691 

4.891 

5.050 
+5.160 





+ 1 
2 

2 
3 



Diff. for 
10 d. 



A <J 



1870. 



Var. in 
10 y. 



+104 
53 
+ 2 

— 48 
91 

131 
161 
180 
186 
183 

168 

142 

110 

73 

— 31 

+ 13 

58 

100 

139 

177 

209 
237 

259 
280 
296 

307 
315 
320 
321 
318 

310 
298 
277 
252 
220 

180 
135 

+ 85 



1.10 
1.09 
1.01 

0.86 
0.69 

0.49 
0.31 

0.18 
0.09 
0.05 

0.07 
0.14 
0.25 
0.36 
0.49 

0.60 
0.66 
0.69 
0.68 
0.62 

0.54 
0.42 
0.29 
0.17 
0.10 

0.06 
0.09 
0.20 
0.38 
0.62 

0.91 
1.24 
1.56 

1.88 
2.16 

2.36 

2.50 

• 2.55 



Diff. for 
10 d. 



— 2 

2 

2 
2 
2 

2 

2 
2 
1 
1 

I 
1 
1 
1 







1 
1 

1 
1 

2 

2 
2 

3 
3 
4 
4 
4 

5 

5 
6 

7 

7 

7 

7 
- 7 



3 

+ 5 
12 
16 

18 

18 

15 

11 

6 

+ I 



+ 



10 
13 
13 
10 

i- 6 



- 7 
14 

22 

28 

31 
33 

32 
30 
24 

17 

9 




* 6 0, 

$c d Mean Sun, 



June 24.7. 
June 2». 3. 



Side- 
real 
Day. 




100 
200 
300 

400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
40O 



+0.735 
0.637 
0.534 
0.425 
0.313 



W 



1865. 



-7.73 

8.18 
8.56 
8.86 
9.09 



1866. 



+0.351 

0.237 

0.121 

+0.004 

—0.114 



—9.02 
9.19 
9.29 
9.30 
9.23 



1867. 



—0.074 
0.191 
0.306 
0.418 
0.527 



-9.26 
9.14 

8.94 
8.66 
8.30 



1868 B. 



-0.491 
0.596 
0.696 
0.790 

0.877 



1873. 

j " 

1.0721+4.86 



1.010 
0.940 
0.862 
0.777 



o.55 

6.18 
6.77 
7.30 



1871. 

-0.8061+7.13 
0.717 7.62 
0.6221 8.04 
0.523] 8.40 
0.419| 8.69 

1875. 



—8.43 
8.03 
7.56 
7.02 
6.42 



1869. 



■0.847 
0.930 
1.004 
1.068 
1.123 



-6.63 
5.99 
5.31 

4.58 
3.81 



1870. 



—1.106 
1.154 
1.193 
1.221 
1.239 



-4.0 
3.28 
2.4 
1.63 

0.78 



1871. 

-1.234,'— 1.0' 



1.244 
1.245 
1.254 
1.213' 



1876 B. 

—0.054+9.13 



—0.23 

+0.02 

1.47 

2.29 



1872 B. 



-0.454 
0.348 
0.239 
0.128 
0.016 



+8.60 
8.84 
9.01 
9.10 
9.12 



+0.058 
0.170 

0.280 

0.388 



9.09 
8.99 

8.81 
8.55 



1877. 



+0.352 
0.458 
0.560 
0.658 
0.751 



+8.65 
8.34 
7.97 
7.54 
7.04 



1878. 

+0.720+7.21 
0.8091 6.67 
0.8911 6.08 
0.966 5.43 
1.034 4.74 



1879. 



—1.221 
1.193 
1.156 
1.109 



+1.012 
1.074 
1.127 
1.170 

1.204 



+4.97 
4.25 
3.49 
2.70 
1.89 



+2.02 
2.83 
3.62 
4.37 
— 1.052+5.0O 



1SSOB. 

+1.1941+2.16 
1.2211 1.34 

1.239+0.49 

1.2451—0.36 

+1.245!— 1.20 | 



SPECIAL TABLES. 



125 







TABLE XXIV. 


—a Argus. 




h m 

R.A. 6 21.1. 


/ 

Dec. — 52 38. 


Upper transit at fictitious meridian. 


Sidereal Day. 


Mean Day. 


A a 


A i L'side- 

^CT)0 l] real 

^ay. 


A a a 


A ^ 


A a a 


A ^ 




















1870. 


Var. in 

10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 

10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

s " 



















100 


+0.3*5 
0.300 


—7.83 
8.26 


—0.434 +5.00 


















0.417 


5.68 






s 






a 






200 


0.269 


8.62 


0.397 


6.31 


0, Jan. 


— 0.51 


-f-2.250 


+ 1 


+ 15 


— 2.33 


+ 1 


—350 


300 


0.232; 8.91 


0.374 


6.88 


]0 


+ 9.46 


2.229 


1 


— 57 


5.75 


1 


333 


400 


0.193i 9.12 


0.347 


7.40 


20 


19.43 


2.137 


1 


126 


8.96 


1 


306 








30 


29.40 


1.979 


2 


190 


11.85 


1 


271 




186G. 


1874. 


Feb. 9 


8.38 


1.760 


2 


247 


14.36 


1 


230 



























+0.206 


—9.05 


— 0.357+7.23 


19 


18.35 


1.488 


2 


294 


16.43 


+ 1 



183 


100 


0.166 


9.21 


0.328 7 71 


Mar. 1 


0.3*2 


1.175 


2 


329 


18.01 


133 


200 


0.124 


9.29 


0.2971 8.12 


11 


10.29 


0.835 


2 


352 


19.09 





81 


300 


082 


9.28 


0.264 8.46 


21 


20.27 


0.476 


2 


362 


19.63 





— 28 


400 


0.039 


• 9.20 


0.229! 8.73 


31 


30.24 


+0.116 


2 


358 


19.66 





+ 23 




1867. 


1875. 


LOO, Apr. 10 


921 


—0.235 


2 


342 


19.18 


— 1 


74 





+0.053'— 9.24 


—0.241 +8.65 


20 


19.19 


564 


2 


315 


18.19 


1 


123 


100 


+0.010 9.10 


0.204 


8.88 


30 


29.16 


0.862 


1 


278 


16.73 


1 


169 


200 


—0.0341 8.88- 


0.166 


9.03 


May 10 


9.13 


1.117 


1 


232 


14.82 


1 


211 


300 


0.078J 8.58 


0.126 


9.11 


90 


19.10 


1.324 


1 


181 


12.53 


2 


247 


400 


0.120] 8.21 


0.086! 9.11 


30 


29.08 


1.478 


+ 1 


125 


9.90 


2 


278 




1868 B. 


1876 B. 


June 9 


8.05 


1.573 





64 


6.99 


2 


302 








19 


18.02 


1.606 





— 3 


3.89 


3 


318 





—0.106 


—8.35 


—0.100 


+9.12 


29 


27.99 


1.579 





+ 57 


— 0.66 


3 


327 


100 


0.148 


7.93 


0.059 


9.07 


July 9 


7.97 


1.492 


— 1 


117 


+ 2.62 


3 


326 


200 
300 


0.189 
0.227 


7.44 

6.89 


—0.017 
+0 025 


8.95 
8.75 


200, 19 


17.94 


1.346 


1 


174 


5.83 


2 


315 


400 


0.264 


6.28 


0.066 


8.49 


29 


27.91 


1.146 


1 


226 


8.89 


2 


296 








Aug. 8 


6 88 


0.895 


1 


275 


11.71 


2 


266 




1869. 


1877. 


18 


16.86 


0.599 


1 


317 


14.17 


2 


226 





—0.252 


—6.49 


+0.0521-4-8.58 


28 


26.83 


—0.264 


2 


351 


16.20 


2 


180 


100 

200 


0.287 
0.320 


5.85 
5.15 


0.094 
0.134 


8.27 
7.88 


Sept. 7 


5.80 


+0.101 


2 


379 


17.74 


2 


125 


300 


0.350 


4.4-. 


0.174 


7.44 


17 


15.78 


0.491 


2 


398 


1S.69 


2 


65 


400 


0.3771 3 64 


0.212 


6.92 


27 


25.75 


0.894 


o 


408 


19.03 


1 


+ 3 








Oct. 7 


5.72 


1.304 


2 409 


18.74 


1 


— 62 




1870. 


1878. 


17 


1569 


1.709 


2 


398 


17.79 


I 


• 126 



























—0.368 


—391 


+0.199 


+7.10 


300, 27 


25.67 


2.C97 




378 


16.23 


— 1 


185 


100 


0.392 


3.11 


0.236 


6.55 


Nov. 6 


4.64 


2.462 




347 


14.11 





238 


200 


0.414 


2 29 


0.272 


5.95 


16 


14 61 


2.788 




305 


11.49 





284 1 


300 


0.431 


1.40 


0.305 


5.29 


26 


24.58 


3.070 




255 


8.46 





320 1 


40U 


0.445 


0.62 


0.336 


4.59 


Dec. 6 


4.56 


3.297 


— 1 


196 


5.12 





343 ! 




1871. 


1879. 


16 
26 
36 


14.53 
24.50 
34.48 


3.460 

3.556 

+3.582 






+ 1 


130 

+ 62 
— 10 


+ 1.63 

— 1.95 

— 5.47 







355 1 
357 i 
— 346 



100 
200 

300 


—0.441 
0.452 
0.460 
0.463 


—0.90 

—0.05 

+0.*0 

1.64 


+0.325 
0.354 
0.380 
0.403 


+4.83 
4.10 
3.33 
2.54 










400 


0.463 


2.46 


0.423 


1.72 












1873 B. 


1880 B. 




* 6 O, ■ 


June 26.2. 












>fc 6 Mean S 


un, June 26.8. 







—0.463 


+2.19 


+0.417+2.00 










100 


0.460 


3.00 


0.4341 1.17 










200 


0.453 


3.78 


448+0.32 










300 


0.443 


4.52 


0.457—0.52 








I 


400 
I 


—0.428+5.23 +0.464|— 1.37 1 



126 



SPECIAL TABLES. 









TABLE XXIV.— / 


Geminorum. 






h m 

R.A. 6 30.2. 


o / 

Dec. + 16 30. 


Upper transit at fictitious meridian. 






t 


^ Q a 






A Q <J 


Side- 
real 


A ^ a 


A a d 


A Q a 


A a d 


Sidereal Day. 


\fpon T)nv 












Day. 










itXCclLl XJVLJ ■ 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 

10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

8 " 



















100 


+0.695 
0.602 


—7.95 
8.36 


—1.021 
0.961 


+5.22 

5.88 






















8 






ii 






200 


0.503 


8.70 


0.893 


6.49 


0, Jan. 


- 0.51 


+1.441 





+114 


— 1.71 


— 2 


— 45 


300 


0.399 


8.96 


0.818 


7.04 


10 


+ 9.46 


1.530 





64 


2.11 


2 


34 


400 


0.292 


9.15 


0.736 


7.54 


20 


19.44 


1.570 


+ 1 


+ 15 


2.40 


2 


24 








30 


29 41 


1.561 


1 


— 34 


2.58 


2 


15 




1866. 


1874. 


Feb. 9 


8.38 


1.504 


2 


80 


2.69 


2 


— 7 





+0.328—9.09 


—0.765 


+7.38 


19 

Mar. 1 

11 

21 


18.36 

0.33 

10.30 

20 28 


1.404 

1.269 
1.110 
0.934 


2 
2 
3 
3 


119 
149 
169 
179 


2.72 

2.70 
2.63 
2.55 


2 
2 
2 
1 



+ 5 

7 
8 


100 
200 
300 

400 


0.219 
+0.108 
—0.004 

0.116 


9.23 
9.28 
9.25 
9.14 


0.679 

0.588 
0.492 
0.392 


7.84 
8.22 
8.54 
8.79 


31 


30.25 


0.756 


3 


177 


2.47 


1 


8 




1867. 


1875. 


100, Apr. 10 


9.22 


0.584 


3 


165 


2.38 


1 


9 





—0.079 


—9.18 


—0.427 +8.72 


20 


19.19 


0.429 


3 


144 


2.29 


1 


10 


100 


0.190 


9.02 


0.325 


8.92 


30 


29.16 


0.298 


3 


116 


2.17 


1 


12 


200 


0.300 


8.78 


0.221 


9.04 


May 10 


9.14 


0.199 


2 


81 


2.04 


1 


15 


300 


0.407 


8.46 


0.115 


9.10 


20 


19.11 


0.138 


1 


40 


1.87 


1 


18 


400 


0.511 


8.06 


0.008 


9.07 


30 


29.08 


0.118 


1 


— 1 


1.67 


1 


22 




1868 B. 


1876 B. 


June 9 


8.06 


0.137 


+ 1 


+ 40 


1.42 





27 








19 


18.03 


0.198 





81 


1.13 





31 





—0.476—8.20 


—0.0441+9.09 


29 


28.00 


0.299 





120 


0.80 


1 


35 


100 


0.577 


7.76 


+0.063 


9.02 


July 9 


7.97 


0.438 





155 


0.43 


1 


38 


200 
300 


0.672 
0.761 


7.26 
0.69 


0.169 
0.275 


8.87 
8.65 


200, 19 


17.95 


0.608 


— 1 


185 


— 0.05 


1 


38 


400 


0.844 


6.06 


0.378 


8.36 


29 


27.92 


0.808 


1 


215 


+ 0.32 


2 


36 








Aug. 8 


6.89 


1.038 


2 


240 


0.66 


2 


31 




1869. 


1877. 


18 


16.86 


1.287 


2 


259 


0.94 


2 


25 





—0.817 


—6.28 


+0.343 


+8.47 


28 


26.84 


1.555 


3 


276 


1.15 


2 


16 


100 
200 


0.894 
0.964 


5.62 
4.91 


0.444 

0.542 


8.13 

7.72 


Sept. 7 


5.81 


1.838 


3 


290 


1.26 


3 


+ 4 


300 


1.025 


4.17 


0.635 


7.25 


17 


15.78 


2.133 


3 


300 


1.23 


3 


— 9 


400 


1.077 


3.38 


0.723 


6.72 


27 


25.75 


2.436 


3 


307 


1.07 


3 


23 








Oct. 7 


5.73 


2.745 


4 


311 


0.78 


4 


36 




1870. 


1878. 


17 


15.70 


3.056 


4 


310 


+ 0.35 


4 


48 



























—1.060 


—3.65 


+0.694 


+6.91 


300, 27 


25.67 


3.364 


3 


305 


— 0.18 


4 


58 


100 


1.106 


2.84 


0.779 


6.34 


Nov. 6 


4.65 


3.664 


3 


294 


0.80 


5 


66 


200 


1.142 


2.02 


0.857 


5.72 


16 


14.62 


3.951 


2 


277 


1.49 


5 


70 


300 


1.168 


1.18 


0.928 


5.05 


26 


24.59 


4.217 


2 


254 


2.19 


5 


70 


400 


1.185 


0.33 


0.992 


4.33 


Dec. 6 


4.56 


4.457 


1 


224 


2.88 


5 


66 




1871. 


1879. 


16 
26 
36 


14.54 
24.51 
34.48 


4.663 

4.829 

+4.950 


1 
— 1 




187 

144 

+ 96 


3.51 

4.08 
— 4.54 


6 
6 

— 7 


60 

52 

— 41 



100 
200 
300 
400 


—1.180 
1.190 
1.189 
1.178 
1.157 


-0.62 

+0.23 

1.07 

1.91 

2.72 


+0.971 
1.030 
1.080 
1.121 
1.153 


+4.58 
3.84 
3.06 
2.26 
1.44 




























1872 B. 


1880 B. 




* c 


> 0, 


• 


rune 28.4. 












* t 


) Mean S 


un, i 


fune 29.1. 





100 

200 


—1.165 
1.138 
1.102 


+2.45 
3.25 

4.02 


+ 1.143 
1.168 
1.184 


+1.72 

0.88 

+0.04 














300 


1.056 


4.75 


1.190—0.81 




* 










400 


— l.OOlj+5.44 


+1.1861—1.65 



SPECIAL TABLES. 



127 





TABLE XXIV.- # 51 Cephei (Hev.)t 




h m ° ' 
R.A. 6 38.7. Dec. + 87 14. 


Upper transit at fictitious meridian. 


Sidereal Day. 




A a 


A «> Side * 

£(7)° , real 
! Day. 


A Po G 


A Q d 


A a a 


^ 


jVietiiiDsy. 


j 






l 












1H70 Varin 


Diff. for 
10 d. 


1870. 


Var.inDiff. for 
lOy. 10 d. ; 




1865. 

s " 


1873. 

8 






1 






i 





+ 4.651—8.03 
3.72! 8.43 


— 7.95 
7.26 


+5.44 

6.08 
















100 


| 




i 






// 


| 200 


2.76J 8.75 


6.52 


6.67 


0,Jan. 


— 0.51 


+28.52 


-12 


+107 


— 0.96 


—46 '+320 1 300 


1.78 8.99 


5.72 


7.21 


10 


+ 9.46 


28.93 


- 2 


+ 15 


+ 2.27 


46 


323 jl 400 


0.78| 9.16 


4.88 


7.68 


20 


19.44 


28.62 


+ 8 


— 76 


5.46 


45 


314 1 






30 


29.41 


27.42 


18 


164 


8.51 


43 


293 




1866. 


1874. 


Feb. 9 


8.38 


25.38 


27 


243 


11.27 


40 


261 



























+ 1.12 


—9.11 


— 5.17 


+7.53 


19 


18.36 


22.59 


36 


312 


13.67 


35 


219 


100 


+ 0.11 


9.22 


4.30 


7.96 


Mar. 1 


0.33 


19.20 


43 


366 


15.63 


30 


169 


200 


— 90 


9.26 


3.40 


8.32 


Jl 


J 0.30 


15.33 


48 


404 


17.04 


24 


113 


300 


1.90 


9.21 


2.46 8.62 


21 


20 28 


11.17 


52 


425 


17.87 


17 '+ 53 


400 


2.88 9.0b 


1.51! 8.84 


31 


30.25 


6.89 


54 


428 


18.09 


10 — 8 




1867. 


1875. 


ICO, Apr. 10 


9.22 


+ 2.66 


55 


414 


17.72 


— 3 68 





— 2.551—9.13 


— 1.84:+8.77 


20 


19.19 


— 1.34 


53 


384 


16.76 


+ 3 j 123 


100 


3.52 


8.95 


— 0.88 8.95 


30 


29 16 


4.97 


49 


340 


15,26 


9 


174 


200 


4.46 


8.68 


+ 0.09 


9.05 


May 10 


9.14 


8.09 


44 


283 


13.29 


14 


218 


300 


5.35 


8.34 


1.05 


9.07 


20 

| 


19.11 


10.60 


38 


218 


10.93 


18 


254 


400 


6.20J 7.93 


2.00 


9.01 


30 


29.08 


12.42 


30 


145 


8.24 


21 


282 




1868 B. 


1876 B. 


June 9 


8.06 


13.49 


21 


— 69 


5.32 


23 ! 301 








19 


18.03 


13.78 


12 


+ 10 


+ 2 26 


24 310 





— 5.92 


—8.08 


+ 1.68 


+9.04 


29 


28.00 


13 29 


+ 2 


88 


— 0.86 


23 313 


100 


6.73 


7.62 


2.63 


8.94 


July 9 


7.97 


12.04 


- 8 


163 


3.96 


21 306 


200 
300 


7.48 

8.17 


7.09 
6.51 


3.55 
4.44 


8.76 
8.51 


200, 19 


17.95 


10.04 


18 


236 


6 96 


18 ! 292 


4C0 


8.78 


5.86 


5.30 


8.19 


29 


27.92 


7.35 


27 


302 


9.79 


14 ! 272 








Aug. 8 


6.89 


4.04 


37 


362 


12.39 


9 I 246 




1869. 


1877. 


18 


16.85 


— 0.16 


45 


413 


14.70 


+ 3 215 





— 8.58 


—6.09 


+ 5.01 +8.c0 
5.84 7.94 


28 


26.84 


+ 4.21 


53 


458 


16.67 


— 4 179 


100 


9.14 


5.41 














i 


200 


9.61 


4.09 


GSk 


7 50 


Sept. 7 


5.81 


8.97 


59 


493 


18.27 


11 ! 139 


300 


10.00 3.93 


7.34 


7.01 


17 


15.78 


14.05 


64 


520 


19.45 


19 ! 97 


400 


10.31! 3.13 


8.01 


(i 45 


27 


25.75 


19.33 


68 


535 


20.19 


27 > 51 








Oct. 7 


5.73 


24.74 


71 


541 


20.46 


36 — 5 




1870. 


1878. 


17 


15.70 


30.13 


72 


535 


20.28 


44 + 44 



























—10.21—3.41 


+ 7.79+6.65 


300, 27 


25.67 


35.40 


72 


517 


19.59 


53 


93 


100 


10.46| 2.59 


8.41 j 6.06 


Nov. 6 


4.65 


40.43 


70 


487 


18.42 


61 


140 


200 


10.60! 1.76 


8.96 5.41 


16 


14.62 


45.10 


66 


445 


16.78 


68 


186 


300 


10.66J 0.92 


9.44 4.72 


26 


24.59 


49.29 


61 


390 


14.70 


74 


227 


400 


10.62J 0.07 


9.8^J 3.98 


Ice. 6 


4.56 


52.86 


54 


324 


12.24 


80 


264 




1871. 


1879. 


16 
26 
36 


14.54 
24.51 
34.48 


55.73 

57.79 

+58.97 


46 

38 

—28 


248 

163 

+ 73 


9.46 

6.42 

— 3.23 


84 

87 

—89 


293 

313 

+323 



100 
200 


—10.65 
10.55 
10.36 


-0.35 

+0.5C 

1.34 


+ 9.72 
10.00 
10.32 


+4.24 
3.48 
2.69 
















300 
400 


10.08 
9.72 


2.17 

2.98 


10.50 
10.58 


1.88 
1.05 
















1872 B. 


I88OB. 




* d ©, 


June 30 5. 






I 




>fc c5 Mean Sun, 


July 1.3. 


C 


— 9.e» 


+2.71 


+ 10.56+1.33 




;jc 8 Mean Sun, 


Dec. 30.9. 


100 


9.43 


3.50 


10.59+0.49 








200 


8.94 


4.26 


10.52-0.35 


IS 


ee pages 248, 249, 251-253 for 


additional corrections. 


300 


8.36 


4.96 


10.37 


1.20 








400 


— 7.72+5.66 


+ 10.12 


—2.03 

1 



128 



SPECIAL TABLES. 









TABLE XXIV.-e Canis Majoris. 






h m 
R.A. 6 53.5. 


o / 

Dec. — 28 48. 


Upper transit at fictitious meridian. 
















Side- 










Sidereal Day. 


Mean Day. 




A o« 






A Q <J 


real 
Day. 


A Q a 


A ^ 


A Q a 


A ^ 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

8 " 



















100 


+0.550 
0.491 


—8.23 

8.58 


—0.741 

0.708 


+5.73 
6.34 






















s 






// 






200 


0.428 


8.85 


0.66- 


6.90 


0, Jan. 


— 0.49 


+1.568 





+ 98 


— 0.92 


+ 2 


—296 


300 


0.361 


9.05 


0.624 


7.41 


10 


+ 9.48 


1.640 





+ 45 


3.83 


2 


284 


400 


0.290 


9.14 


0.574 


7.84 


20 


19.45 


1.658 


+ 1 


— 8 


6.57 


2 


263 








30 


29.43 


1.625 


1 


59 


9.07 


1 


236 




1866. 


1874. 


Feb 9 


8.40 


1.541 


2 


106 


11.28 


+ 1 


204 
























0+0.314 


—9.13 


—0.591 


+7.70 


19 


18.37 


1.414 


2 


148 


13.14 





168 


100 


242 


9.20 


0.538 


8.10 


Mar. 1 


0.34 


1.248 


2 


182 


14.63 





129 


200 


0.168 


9.18 


0.481 


8.43 


11 


10.32 


1.054 


2 


203 


15.72 


_ 1 


89 


300 


0.092 


9.09 


0.420 


8.69 


21 


20.29 


0.844 


2 


2^6 


16.40 


1 


48 


400 


0.015 


8.92 


0.356 


8.87 


31 


30.26 


0.623 


2 


219 


16 67 


1 


— 6 




1867. 


1875. 


100, Apr. 10 


9.23 


0.407 


2 


212 


16.53 


1 


+ 34 





+0.041 


-8.98 


—0.378 


+8.82 


20 


19.21 


0.201 


2 


197 


16.00 


1 


72 


100 


—0.035 


8.75 


0.311 


8.96 


30 


29.18 


+0.015 


2 


172 


15.09 


2 


111 


200 


0.112 


8.45 


0.243 


9.02 


May 10 


9.15 


—0.141 


2 


140 


13.79 


2 


146 


300 


0.187 


8.07 


0.172 


9.01 


20 


19.13 


0.264 


2 


105 


12.18 


2 


176 


400 


0.261 


7.62 


0.100 


8.92 


30 


29.10 


0.351 


1 


67 


10.27 


3 


204 




1868 B. 


1876 B. 


June 9 


8.07 


0.398 


1 


— 26 


8.11 


3 


228 








19 


18.04 


0.403 


+ 1 


+ 16 


5.74 


3 


245 





—0.236 


—7.78 


-0.124 


+8 96 


29 


28.02 


0.367 





56 


3.24 


4 


254 


100 


0.308 


7.29 


-0.051 


8.83 


July 9 


7.99 


0.291 





96 


- 0.68 


4 


258 


200 
300 


0.378 
0.444 


6.74 
6.13 


+0.022 
095 


8.62 
8.34 


200, 19 


17.96 


0.175 





134 


+ 1.89 


4 


253 


400 


0.506 5.46 


0.168 


8.00 


29 


27.93 


-0.023 


— 1 


168 


4.36 


3 


241 








Aug. 8 


" 6.91 


+0.161 


1 


199 


6.69 


3 


221 




1869. 


1877. 


18 


16.88 


0.375 


2 


229 


8.76 


3 


192 





—0.485— 5.69 


+0.143+8.12 


28 


26.85 


0.618 


2 


255 


10.52 


3 


157 


100 
200 


0.544 

0.598 


4.99 
4.26 


0.215 

0.285 


7.73 

7.27 


Sept. 7 


5.83 


0.8S3 


2 


276 


11.88 


3 


113 


300 


0.647 


3.49 


0.352 


6.76 


17 


15.80 


1.168 


2 


293 


12.77 


3 


65 


400 


0.690 


2.69 


0.417 


fi.18 


27 


25.77 


1.468 


2 


305 


13.17 


3 


+ 14 








Oct. 7 


5.74 


1.777 


2 


313 


13.04 


2 


— 41 




1870. 


1878. 


17 


15.72 


2.092 


2 


315 


12.36 


2 


94 



























—0.676 


-2.96 


+0.396 


+6.38 


300, 27 


25 69 


2.405 


2 


310 


11.18 


2 


144 


100 


0.715 


2.14 


0.458 


5.78 


Nov. 6 


4.66 


2.710 


1 


298 


9.50 


2 


190 


200 


0.748 


1.31 


0.518 


5.12 


16 


14.63 


2.999 


1 


279 


7.40 


2 


230 


300 


0.774 


—0.47 


0.572 


4.42 


20 


24.61 


3.265 


1 


253 


4.93 


2 


262 


400 


0.794+0.37 


0.623 


3.68 


Dee. 6 


4.58 


3.502 


1 


219 


+ 2.19 


2 


284 




1871. 


1879. 


16 

26 
36 


14.55 
24.53 
34.50 


3.702 

3.855 

+3.960 


— 1 





177 

129 

+ 79 


— 0.71 

3.70 

— 6.67 


2 

2 

— 2 


297 

300 

—293 



100 
200 
300 


—0.788 
0.803 
0.811 
0.813 


+0.09 
0.93 
1.76 

2.56 


+0.6061+3.93 
0.653 3.17 
0.695 2.38 
0.73 1! 1.56 














400 


0.807 


3.36 


0.761J 0.74 
















1872 B. 


1880 B. 




* < 


5 0, 




July 4.0. 












* < 


1 Mean £ 


>un, 


July 5.1. 





100 
200 
300 
400 


—0.810 
0.800 
0.783 
0.760 

—0.731 


+3.09 
3.86* 
4.60 
5.29 

+5.94 


+0.752 
0.777 
797 
0.809 

+0.815 


+ 1.02 
+0.18 
—0.66 
1.49 
-2.31 


L. 



















SPECIAL TABLES. 



129 



TABLE XXIV.-<5 Canis Majoris. 

h m ° ' 

R.A. 7 3.1. Dec. — 26 11. 



Upper transit at fictitious meridian. 



Sidereal Day- 



Mean Day 



0,Jan. 

10 

20 

30 

Feb. 9 

19 

Mar. 1 
11 
21 
31 



100 



Apr. 10 
20 
30 

May 10 
20 

30 

June 9 

19 

29 

July 9 



200, 



Aug. 



19 

29 
8 
13 
28 



Sept. 7 
17 
27 

Oct. 7 
17 

300, 27 

Nov. 6 

10 

26 

Dec. 6 

16 
26 
36 



0.49 
+ 9.49 
19.46 
29.43 

8.41 

18.38 
0.35 
10.32 
20.30 
30.27 

9 24 
19.21 
29.19 

9.16 
19.13 

29.11 

8.08 
18.05 
28.02 

8.00 

17.97 
27.94 
6.91 
16.89 
26.86 

5.83 

15.80 

25.78 

5.75 

15.72 

25.70 

4.67 

14.64 

24.61 

4.59 

14.56 
24.53 
34.50 



^0 a 



1870. 



Var. in 
10 y.- 



+1.526 
1.612 
1.645 
1.625 
1.557 

1.442 
1.291 
1.109 

0.909 
0.699 

0.489 
0.291 
+0.111 
-0.044 
0.166 

0.252 
0.302 
0.312 
0.28J 
0.212 

-0.104 
+0.039 
0.214 
0.421 
0.652 

0.907 
1.183 
1.474 

1.780 
2.089 

2.400 
2.706 
2.997 
3.269 
3.513 

3.721 

3.886 
+4.005 







+ 1 

1 

2 
2 
2 
3 
2 

2 

2 
2 
2 
2 

1 

+ 1 





1 

1 

1 
1 

2 

2 
2 
2 
2 
2 

2 
1 

1 
1 
1 







Diff. foi- 
10 d 



+111 

60 
+ 6 
— 45 

92 

134 

168 
192 
206 
211 

205 
190 
168 
139 
104 

68 
- 30 

+ 11 
50 



126 
159 
191 
219 
243 

266 

284 
300 
309 
311 

310 
300 
283 
259 
227 

187 

143 

+ 93 



A o* 



1870. 



Var. in 
10 y. 



• 0.66 
3.47 
6.16 
8.61 

10.78 

12.62 
14.11 
15.23 
15.93 
16.26 

16.18 
15.73 
14.92 
13.75 
12.26 

10.49 
8.47 
6.25 
3,88 

- 1.44 

1.01 
3.40 
5 63 
7.63 
9.33 

10.65 
11.54 
11.95 
11.85 
11.23 



10.11 

8.51 

6.48 

4.11 

+ 1.47 

— 1.36 
4.25 

— 7.14 



+ 



+ 2 
2 
2 
2 

f- 1 






1 

1 
1 

2 
2 
2 

2 
3 
3 
3 
3 

3 
4 
4 
3 
3 

3 
3 

2 
2 
2 

2 
2 
2 
2 
2 

2 
2 
2 



Diff. foi- 
10 d. 



—287 
276 
258 
232 
201 

167 
131 

92 
52 

— 12 

+ 27 

63 

99 

134 

164 

190 
213 
231 
242 
246 

243 

232 
213 
186 
152 

113 

67 
+ \6 

— 36 

87 

137 
183 

221 
252 
275 

288 
290 

—285 



* 6 0, 

>fc (5 Mean Sun, 



July 6.4. 
July 7.5. 



Side- 
real 
Day. 



W 




100 
200 
300 

400 



1865. 



+0.570 
0.509 
0.444 
375 
0.302 



-8.32 
8.64 
8.88 
9 05 
9.14 



1866. 



100 
200 
300 

400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 



0+0.327 



252 
0.175! 

0.0971 
0.017 



-9.12 
9 16 
9.12 

899!f 
8.79 



A^d 



1873. 



-0.763 
0.733 
0.692 
646 
0.595 



f 5 93 

6 52 
7.05 

7 53 
7.95 



1867. 



+0.044 

—0.035 

0.114 

0.192 

0.269 



—8.87 
8.62 
8.29 
7.89 
7.42 



1868 B. 



-0.243 
0318 
0.390 
0.458 
0.522 



—7 59 

7.07 
6.50 

5.87 
5.20 



1869. 



—0.501 
0.562 
0.618 
0.669 
0.713 



-5 43 
4 72 
3 98 

3.20J 
2.39 



1870. 

-0.700' 2.67 
0.740| 1.85 
0.7741 1.02 
0.801 1— 0.13 
0.322i+0.66 



1871. 



—0.815 
0.831 
840 
0.841 
0.836 



+0.38 
1.21 
2.03 
2.83 
3.61 



1872 B. 

—0.838+3.35 
0.828 4.11 
0.811 4.82 
0.787 5.50 

—0.756 +6. IS 



1874. 

■0.613+7 81 
558; 8 18 
0.499i 8.49 
436 1 8 72 
0.369; 8.88 

1875. 

—0.3921+8.83 
0.323; 8.95 

0.252i 8 98 
0.1791 8 95 
0.1041 8.83 

1876 B. 

-0.130'+8.88 

—0.054, 8.72 

+0.022 8.49 

0.09?i 8 19 

0.172| 7.82 

1877. 

+0.147+7 95 
0.221 7.54 
0.^9:3 7.06 
363J 6.53 
0.431; 5.94 



1878. 

+0.408|+6.15 
0.473J 5.52 
f 34| 4.85 
4.14 
3.39 



0.591 
0.644i 



1879. 



+0.627 
0.675 
0.719 
0.756 

0.787 



+3.65 
2 88 
2.09 
1.27 
0.44 



1880 B. 

+0.777+0.72 
0.804— 0.11 
0.824 0.94 
0.838 1.77 

+0.844 —2.58 



130 



SPECIAL TABLES. 



TABLE XXIV.-.S tieminorum. 



h m 
R.A. 7 12.4. 



Dec. + 22 13. 



Upper transit at fictitious meridian. 



Sidereal Day. 



0,Jan. 

10 

20 

30 

Feb. 9 

19 
Mar. 1 
11 
21 
31 



Apr. 10 


20 


30 


May 10 


20 


30 


June 9 


19 


29 


July 9 



MeanDay, 



200, 



19 
29 
Aug. 8 

18 
28 

Sept. 7 
17 
27 

Oct. 7 
17 



300, 27 

Nov. G 

16 

26 

Dec. G 



- 0.48 

- 9.49 
1947 
29.44 

8.41 

18.38 
0.36 
10.33 
20.30 
30.28 

9.25 
19.22 
29.19 

9.17 
19.14 

29.11 

8.08 
18.06 
28.03 

8.00 

17.97 

27.95 

6.92 

16.89 

26.87 

5.84 
15.81 
25.18 

5.76 
15.73 

25.70 

4.67 

14.65 

24.62 

4X9 

14.57 
24.54 
34.51 



A a 



1670. 



Var.in 
10 y. 



+1.469 
1.608 
1.694 
1.725 
1.704 

1.634 
1.524 
1.379 
1.212 
1.034 

0.854 
0.685 
0.534 
0.410 
0.318 

0.265 
0.249 
0.273 
0.337 
0.440 

0.578 
0.747 
0.947 
1.172 
1.421 

1.692 
1.979 
2.281 
2.598 
2.921 

3.249 
3.576 
3.894 
4.201 

4.484 

4.736 

4.950 

+5.118 



Diff. foi 
10 d 







+ 1 

2 

2 
3 
3 
4 
4 

4 
3 
3 
3 

2 

2 
2 

+ 1 



— 1 
1 
2 

2 
3 

3 
3 
4 
4 
4 

4 
4 
4 
4 
3 

3 
o 



+163 

113 

58 

- 5 

■ 46 

91 
129 
158 
174 
181 

176 
161 
139 

109 
73 

— 35 

+ 4 

44 

84 

121 

154 

185 
2J3 
237 
260 

279 
295 
310 
321 
326 

328 
323 
313 
296 
269 

234 

192 

+143 



A Q d 



1870. 



Var.in 
10 y. 



3.04 
3.21 
3.23 
3.11 

2.89 

2 62 
2.29 
1.94 
1.63 
1.35 

1.13 

0.98 
0.88 
0.83 
0.84 

0.87 
0.94 
1.02 
1.10 
1.21 

1.31 
1.44 
1.61 

1.80 
2.08 

2.41 

2.84 
3.36 
3.96 
4.62 

5.35 

6.09 
6.84 
7.54 
8.16 

8.69 
9.09 
9.34 



Diff. foi- 
10 d. 



— 24 
9 

+ 5 
17 
25 

30 
33 
33 
30 
25 

19 
13 

7 
+ 2 

— 2 

5 
7 
8 
9 
11 

12 
15 

18 
23 
30 

38 
47 
56 
63 
70 

74 
75 
73 

67 
58 

47 
33 

18 



* 6 0, 

>|< 6 Mean Sun, 



July 8.6. 
July 9.8. 



Side- 
real 
Day. 



A n a 



A Q 6 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 



8 

+0, 
0, 

0, 

0, 
0, 



+0 


+o 







1865. 

678 
578 
473 
363 
250 

1866. 



-8.39 
8.68 
8.90 
9.04 
9.11 



289 
174 
,058 
058 
.174 



•9.10 
9.11 

9.04 

8.89 
8.66 



1867. 



-0.135 
0.250 
0.363 
0.473 

0.578 



-8.YO 

8.47 
8.12 

7.70 
7 21 



1S6S B. 



-0.543 
0.645 
0.741 
0.831 
0.913 



-7.38 
6.85 
6.2 
5.G 
4.94 



1869. 



A n a i And 



1873. 

s '■ 

-1.032 
0.966 

0.892 
0.810 
0.722 



+6.10 
6.67 
7.19 
7.64 

8.03 






1874. 



—0.753 
0.661 
0.564 
0.463 
0.35b 



+7.91 

8.25 
8.53 

8.74 
8.87 



1875. 



—0.394 

0.286 

0.177 

—0.067 

+0.045 



+8.83 
8.92 
8.93 

8.87 
873 



—0.886 
0.963 
1.032 
1.091 
1.140 



-5.17 

4 45 
3.70 
2.9! 
2.10 



1870. 



-1.125 
1.168 

1.201 
1.223 

1.235 



-2.38 
1.50 
—0.73 
+0.11 
+9.94 



1876 B. 



+0.007 
0.118 
0.228 
0.336 
0.442 



+8.79 
8.61 
8.35 
8.03 
7.64 



1871. 

-1.232+0.66 
1.237. 1.49 
1.231 2 30 
1.215 3.09 
1.189 3.85 

1872 B. 



—1.199 
1.166 
1.123 
1.071 

—1.011 



+3.59 
4.331 

5.03: 

5.69! 
+6.30| 



1877. 



+0.406 
0.510 
0.609 
0.703 
0.79* 



+7.77 
7.34 
6.85 
6.30 
5.69 



1878. 



+0.763 
0.847 
0.92; 
0.99: 
1.058 



+5.90 
5.27 
4.59 
3.86 
3.11 



1879. 



+1.037 
1.094 
1.142 

1.180 
1.208 



+3.37 
2.59 
1.80 
0.98 
0.16 



1880 B. 

+1.200+0.44 
1.221—0.39 
1.233 1.22 



1.234 
+ 1.224 



2.04 
-2.84 



SPECIAL TABLES. 



131 





TABLE XXIV.-* 


143 Camelopardalis (B): Piazzi vii. 67. 




h 
R.A. 7 


m o / 
17.3. Dec. + 68 44. 


Upper transit at fictitious meridian. 






A a 




A o<> 


Side 
real 
Day 


*Q a 


A ^ 


A Q« 


A Q< 5 


Sidereal Day. 


Mean Day. 
















1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10y. 


Diff. foi- 
10 d. 




1865. 

6 " 


1873. 

s " 


















c 

100 


+0.881 
0.685 


—8.42 
8.70 


—1.624-1-6.19 


















1.47b 


6.75 






8 






" 






200 


0.483 


8.91 


1.320 


7.25 


0,Jan. 


— 0.47 


+ 3.699 


— 7 


+329 


— 4.53 


— 9 


+237 


30G 


276 


9.03 


1.151 


7 70 


10 


+ 9.50 


3.966 


4 


205 


— 2.08 


9 


252 


400 


0.067 


9.08 


0.973 


,9. 07 


20 


19.47 


4.108 


- 1 


+ 77 


+ 0.48 


9 


258 








30 


29.44 


4.120 


-M 


— 52 


3.05 


9 


253 




1866. 


1874. 


Feb. 


8.42 


4.006 


4 


174 


5.52 


9 


239 



























+0.138 


-9.08 


— 1.034+7.95 


19 


18.39 


3.776 


7 


284 


7.79 


8 


214 


100 


—0.073 


9.07 


0.851 


8.29 


Mar. 1 


0.36 


3.445 


9 


377 


9.78 


7 


182 


200 


0.282 


8.99 


0.661 


8.55 


11 


10.33 


3.030 


11 


447 


11.40 


6 


141 


300 


0.489 


8.83 


0.467 


8.74 


21 


20.31 


2.558 


13 


494 


12.59 


5 


96 


400 


0.692 


8.59 


0.268 


8.86 


31 


30.28 


2.051 


14 


516 


13.31 


4 


+ 48 




1867. 


1875. 


100, Apr. 10 


9.25 


1.535 


14 


512 


13.54 


2 


— 2 





—0.624 


—8.68 


— 0.336 !-!-« #2 


20 


19.23 


1.034 


14 


485 


13.28 


— 1 


50 


100 


0.823 


8.39 


—0.136 


8.90 


30 


29.20 


0.572 


13 


436 


12.55 





96 


200 


1.015 


8.03 


+0.065 


8/JO 


May 10 


9.17 


-J- 0.168 


13 


370 


11.38 


+ 1 


138 


300 


1.198 


7.60 


0.265 


8.82 


20 


19.14 


— 0.162 


11 


288 


9.81 


2 


174 


400 


1.370 


7.10 


0.463 


8.67 


30 


29.12 


0.405 


10 


197 


7.92 


3 


204 




1868 B. 


1876 SS. 


June 9 


8 09 


0.554 


7 


— 99 


5.78 


4 


228 








19 


18.06 


0.602 


5 


+ 2 


3.38 


4 


245 





-1.313 


—7.28 


+0.396 +8.73 


29 


28.03 


0.550 


+ 3 


103 


+ 0.88 


4 


255 


100 


1.477 


6.74 


0.59^ 


8.53 


July 9 


8.01 


0.398 





201 


— 1.69 


4 


258 


200 
300 


1.628 
1.764 


6.14 
5.49 


- 0.782 
0.966 


8.26 
7.93 


200, 19 


17.98 


— 0.150 


— 3 


295 


4.27 


4 


256 


400 


1.885 


4.79 


1.142 


7.53 


29 


27.95 


+ 0.189 


6 


382 


6.80 


3 


249 








Aug. 8 


6.92 


0.61,1 


9 


461 


9.22 


2 


235 




1869. 


1877. 


18 

28 


16.90 

26.87 


1.109 
1.675 


11 
14 


534 
597 


11.49 
13.57 


+ 1 



218 
197 



100 


—1.846 
1.956 


-5.03 
4.31 


+1.084 
1.254 


+7.67 
7.23 


Sept. 7 
! 17 

27 


5.84 
15.82 
25.79 


2.300 
2.975 
3.690 


16 

18 
20 


651 
697 
732 


15.41 

16.98 
18.24 


— 1 

o 

4 


171 
142 
110 


200 
300 
400 


2.048 
2.123 
2.179 


3.55 

2.76 
1.95 


1.414 
1.563 

1.699 


6.72 
6.16 
5.55 


Oct. 7 


5.76 


4.435 


21 


756 


19.17 


5 


75 




1870. 


1S7S. 


17 


15.73 


5.198 


23 


768 


19.74 


7 


— 38 



























—2.162 


—2.23 


+1.656+5.76 


300, 27 


25.71 


5.966 


23 


767 


19.92 


9 


+ 2 


100 


2.205 


1.41 


1.7811 5.12 


| Nov. 6 


4.68 


6.726 


23 


749 


19.70 


10 


43 


200 


2.229 


—0.58 


1.894 4.43 


\ 6 « 


14.65 


7.459 


23 


715 


19.06 


12 


84 


300 


2.234 


+0.26 


1,991 3.71 


26 


24.62 


8.150 


22 


664 


18.02 


14 


124 


400 


2.220 


1.09 


2.072! 2.95 


Dec. 6 


4.60 


8.780 


20 


593 


16.59 


15 


162 




1871. 


1879. 


16 


14 57 


9.33J 


19 


505 


14.80 


16 


196 








26 


24.54 


9.785 


16 


401 


12.70 


17 


223 





—2.227 


+0.W1 


+2.0471+3.21 


36 


34.52 


+10.128 


—14 


+283 


—10.36 


—18 


+244 


100 
200 


2.200 
2.154 


1.63 

2.43 


2.116 
2.168 


2.43 
1.63 
















300 


2.091 
2.009 


3.22 
3,97 


2.202 
2.218 


+0.81 

-0.01 


i 






400 




* 6 0, 


July 9.8. 




1872 B. 


1SSO B. 


i 


5fc 6 Mean Sun, 


July 11.1. 





-2.039 


+3.72 


+2.215+0.27 




>fc 8 Mean S,un, 


Jan. 9.5. 


100 


1.946 


4.45 


2.218i—0.56 ! 








200 


1.837 


5.14 


2.203 1.381 








300 


1.714 


5.79| 


2.168 2 20 1 


t 






400 


-1.576 


+6.39 


+2.1161—2.99 | 



132 



SPECIAL TABLES. 







TABLE XXIV.— <p Geininorum. 








h m 
E.A. 7 45.5. 




o / 

Dec. + 27 6, 




Upper transit at fictitious meridian. 








A Q a 


A Q* 




Side- 
real 


A Q a 


A ^ 


A Q a 


A Q d 




Sidereal Day. 


Mean Day. 










Day. 














1 






















1870. 


Var. in I 
10 y. 


Diff. for 
]0d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s 


1873. 

s " 





















100 


+0.647 
0.541 


-8.53 
8.73 


—1.030+6.66 
0.957 7.14 


























s 






a 






200 


0.431 


8.85 


0.876! 7.57 




0, Jan. 


— 0.46 


+1.474 


— 2 


+203 


— 4.55 


— 2 


— 7 


300 


0.316 


8.89 


0.789, 7.93 




10 


+ 9.52 


1.652 


— 1 


152 


4.53 


3 


+ 12 


400 


0.199 


8.86 


0.696J 8.23 




20 


19.49 


1.777 





97 


4.32 


3 


29 










30 


29.46 


1.845 





+ 39 


3.96 


3 


43 




I860. 


1874. 




Feb. 9 


8.43 


1.856 


+ 1 


- 16 


3.47 


3 


54 





+0.238 


—8.88 


—0.728 


+8.14 




19 


18.41 


1.815 


2 


66 


2.89 


3 


60 


100 


+0.120 


8.80 


0.631 


8.39 




Mar. 1 


0.38 


1.726 


2 


109 


2.26 


3 


63 


200 


0.000 


8.63 


0.528 


8.57 




11 


10.35 


1.599 


2 


144 


1.63 


3 


61 


300 


—0.120 


8.40 


0.422 


8.68 




21 


20.33 


1.441 


3 


168 


1.05 


3 


54 


400 


0.239 


8.09 


0.312 


8.72 




31 


30.30 


1.266 


3 


181 


0.55 


2 


46 




1867. 


1875. 




LOO, Apr. 10 


9.27 


1.083 


3 


183 


— 0.14 


2 


36 





-0.199 


—8.20 


— 0.34914-8.71 




20 


19.24 


0.904 


3 


173 


+ 0.15 


2 


23 


100 


0.317 


7.84 


0.237 


8.71 




30 


29.22 


0.739 


3 


155 


0.32 


2 


+ 10 


200 


0.432 


7.41 


0.124 


8.63 




May 10 


9.19 


0.596 


3 


130 


0.36 


1 


— 1 


300 


0.543 


6.92 


—0.010 


8.48 




20 


19.16 


0.481 


3 


98 


0.30 


1 


11 


400 


0.649 


6.37 


+0.105 


8.26 




30 


29.13 


0.401 


2 


63 


+ 0.14 


1 


21 




1868 B. 


1S76B. 




June 9 


8.11 


0.356 


2 


— 24 


— 0.10 


1 


29 










19 


18.08 


0.353 


1 


+ 15 


0.43 


1 


37 





—0.613 


—6.56 


+0.066 


+8.34 




29 


28.05 


0.386 


+ 1 


52 


0.83 


1 


43 


100 


0.716 


5.97 


0.180 


8.07 




July 9 


8.03 


0.457 





90 


1.29 





48 


200 


0.812 


5.33 


0.293 


7.74 


















300 


0.900 


4.65 


0.403 


7.34 




200, 19 


18.00 


0.565 





.126 


1.78 





52 


400 


0.981 


3.93 


0.510 


6.89 




29 


27.97 


0.708 


— 1 


158 


2.32 





56 










Aug. 8 


6.94 


0.881 


1 


189 


2.90 


1 


61 




1869. 


1877. 




18 


16.92 


1.085 


2 


217 


3.54 


1 


67 





—0.954 —4.17 


+0.474:4-7.04 




28 


26.89 


1.315 


2 


244 


4.24 


1 


73 


100 
200 


1.030 
1.095 


3.43 
2.65 


0.578 
0.678 


6.55 
5.99 




Sept. 7 


5.86 


1.572 


3 


268 


5.00 


2 


79 


300 


1.151 


1.86 


0.772 


5.39 




17 


15.83 


1.850 


4 


289 


5.80 


2 


84 


400 


1.197 


1.05 


0.860 


4.75 




27 


25.81 


2.150 


4 


308 


6.66 


2 


89 










Oct. 7 


5.78 


2.465 


5 


323 


7.57 


2 


93 




1870. 


1878. 




17 


15.75 


2.796 


5 


337 


8.51 


3 


94 





























—1.183 


—1.32 


+0.831 


+4.97 




ZOO, 27 


25.72 


3.138 


5 


345 


9.45 


3 


93 


100 


1 222 


—0 51 


0.915 


4.29 




Nov. 6 


4.70 


3.484 


5 


346 


10.37 


4 


89 


200 


1.251 


+0.31 


0.99 » 


3.58 




16 


14.67 


3.828 


5 


340 


11.23 


4 


82 


300 


1.268 


1.12 


1.059 


2.84 




26 


24.64 


4.162 


5 


327 


12.00 


5 


71 


400 


1.275 


1.92 


1.118 


2.07 




Dec. 6 


4.62 


4.480 


5 


304 


12.64 


5 


56 




1871. 


1879. 




16 
26 
36 


14.59 
24.56 
34.53 


4.768 

5.022 

+5.232 


4 

3 

— 2 


272 
233 

+185 


13.11 

13.40 

—13.49 


6 

7 
— 8 


38 

— 20 





100 
200 
300 


—1.274 
1.273 
1.262 
1.240 


+1.65 
2.44 
3.21 
3.94 


+1.099+2.33 
1.153| 1.55 
1.197+0.75 
]. 23 1—0.05 
















400 


1.208 


4.61 


1.255J 0.86 


















1874 B. 


18SOB. 






* 


6 0, July 1 


3.8. 














i 


* 


d Mean Sun, July 1 


3.2. 







100 
20U 
SOU 
400 


— 1.220+4.41 
1.181| 5.09 
1.132 5.72 
1.073 6.3U 

—1.006+6.82 


+1.248 
1.265 
1.271 
1.281 

+ 1.251 


-0.50 
1.39 
2.19 

2.97 
—3.72 





SPECIAL TABLES. 



133 





TABLE XXIV.— "3 Ursae Majoris (H). 




h m 

R.A. 7 59.8. 




Dec. +C8 51. 




Upper transit at fictitious 


meridian. 






A Q a 




A o- 




'Side- 
1 real 
Day. 


A a a 


A Q c5 


AqU I AqcJ 


Sidereal Day. 


McanDay. 




















| 


















1870. 


Var. in Diff. for 

10 y. j 10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s 


1873. 
s » 

















100 


+0.610 
0.406 


—8.54 
8.69 


—1.4201+6.85 
1.257 7.30 






















s 






// 






200 


+0.199 


8.77 


1.084 7.68 


0,Jan. 


— 0.44 


+3.512 


—11 


+433 


— 7.90 


— 8 


+211 


300 


—0.011 


8.7? 


0.902 8.01 


10 


-f- 9.53 


3.887 


9 


315 


5.65 


9 


237 


400 


0.220 


8.70 


0.713) 8.26 


20 


19.50 


4.139 


6 


183 


3.19 


9 


254 








30 


29.47 


4.262 


4 


+ 57 


— 0.61 


9 


261 




I860. 


1871. 


Feb. 9 


8.45 


4.254 


— 1 


-71 


+ 1.99 


9 


257 





—0.148 


—8.73 


—0.7781+8.18 


19 


18.42 


4.122 


+ 2 


192 


4 50 


9 


243 


100 


0.358 


8.61 


0.586 


8.39 


Mar. 1 


0.39 


3.875 


5 


298 


6.82 


8 


219 


200 


0.564 


8.41 


0.389 


8.53 


11 


10. 3G 


3.531 


7 


386 


8.84 


7 


. 188 


300 


0.765 


8.13 


—0.189 


8.60 ! 


21 


20.34 


3.110 


9 


452 


10.51 


6 


145 


400 


0.959 


7.79 


+0.012 


8.60 


31 


30.31 


2.635 


11 


494 


11.74 


5 


100 




1867. 


1873. 


100, Apr. 10 


9.28 


2.130 


12 


511 


12.50 


4 


52 





—0.894 


—7.91 


—0.056+8.61 


20 


19.26 


1.621 


13 


504 


12.76 


3 


+ 2 


100 


1.083 


7.52 


+0.145, 8.56 
0.344J 8.44 


30 


29.23 


1.129 


13 


475 


12.54 


— 1 


— 47 


200 


1.262 


7.06 


May 10 


9.20 


0.677 


13 


426 


11.84 





93 


300 


1.430 


6.54 


0.541 8.25 


■zo 


19.17 


+0.283 


12 


361 


10.69 


+ 1 


136 


400 


1.585 


5.97 


0.732] 7.99 


30 


29.15 


—0 040 


11 


283 


9.13 


2 


174 




1868 B. 


1876 B. 


June 9 


8.12 


0.280 


9 


196 


7.23 


3 


206 








19 


18.09 


0.429 


7 


103 


5.04 


3 


232 





—1.535 


-6.1? 


+0.668 


+8.09 


29 


28.06 


0.484 


5 


— 7 


2.62 


4 


251 


100 


1.681 


5.56 


0.856 


7.78 


July 9 


8.04 


0.443 


+ 2 


+ 89 


+ 0.04 


4 


264 


200 
300 


1.812 
1.927 


4.90 

4 20 


1.03? 
1.210 


7.42 
6.99 


200, 19 


18.01 


0.306 


— 1 


183 


— 2.65 


4 


271 


400 


2.025 


3.47 


1.372 


6.51 


29 


27.98 


—0.078 


4 


273 


5.37 


4 


273 








Aug. 8 


6.95 


+0.238 


6 


359 


8.08 


3 


268 




1869. 


18*7. 


18 
28 


16.93 
26.90 


0.638 
1.113 


10 
12 


438 
511 


10.71 
13.23 


3 

2 


258 
244 



100 


—1.994 

2.080 


—3.72 
2.97 


+1.318 
1.474 


+6.68 | 
6.16 ! 


Sept. 7 


5.87 


1.658 


15 


578 


15.57 


+ 1 


224 


200 
300 


2.148 
2.197 


2.19 

1.40 


1.617 
1.747 


5.58 j 
4.98 I 


17 


15.85 


2.266 


18 


636 


17.70 





200 


400 


2.22? 


0.59 


1.863 


4.30 1 


27 


25.82 


2.927 


20 


686 


19.56 


— 2 


172 








Oct. 7 


5.79 


3.634 


22 


728 


21.13 


3 


140 




1870. 


1878. 


17 


15.76 


4.375 


24 


755 


22.34 


5 


103 



























—2.219 


—0.86 


+1.826 


+4.52 


300, 27 


25.74 


5.139 


26 


771 


23.18 


6 


64 


100 


2.23? 


—0.06 


1.93* 


3.84 


Nov. 6 


4.71 


5.912 


27 


772 


23.61 


8 


— 21 


200 


2.235 


+0.75 


2.022 


3.12 


16 


14.68 


6.678 


27 


756 


23.61 


9 


+ 23 


300 


2.213 


1.55 


2.096 


2 37 


26 


24.65 


7.418 


27 


721 


23.15 


11 


68 


400 


2.173 


2.33 


2.152 


1.60 


Dec. 6 


4.63 


8.113 


26 


667 


22.25 


12 


112 




1871. 


1S79. 


16 

26 
36 


14.60 
24.57 
34.55 


8.744 

9.291 

+9.737 


26 

24 

—22 


592 

499 

+391 


20.92 

19.20 

—17.13 


14 

15 

—16 


154 
191 

+222 



100 
200 


-2.188 
2.136 
2.065 


+2.07 

2.84 
3 58 


+2.135 

2.180 
2.206 


+ 1.86 

1.08 
+0.29 j 


J 
















300 


1.977 


4.29 
4.96 


2.215 
2.204 


—0.51 
1.30 


■ 
I 








400 


L873 


i 










1873B. 


1SSO B. 


» 


* 8 Mean Sun, Jan. 20.3. 












* 6 0, July 20 3. 






C 


—1.910 


+4.74 


+2.210 


—1.04 


! 


>fc (5 Mean Sun, July 21.9. 






100 


1.795 


5.38] 


2.18? 


1.83 








200 


1.665 


5.9? 


2.140 


2.60 


] 


. 






300 


1.522 


6.52 


2.080 


3.36 ; 


1 








400 


—1.366 


+7.01 


+2.009 


—4.09 : 



134 



SPECIAL TABLES. 



; 




TABLE XXIV.- 


-15 Argus. 






h m 
E.A. 8 2.0. 


o / 

Dec. — 23 56. 




Upper transit at fictitious meridian. 










A Q a 




A <5 


Side- 
real 
Day. 


A a a 


A Q<5 


A Q a 


A ^ 

i 




Sidereal Day. 


Mean Day. 




















1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff for 
10 d. 




1865. 

s " 


1873. 

8 " 





















100 


+0.6411—8.54 
0.5801 8.68 


—0.831 
0.799 


+6.88 
7.32 




, 






















s 






n 






200 


0.513 8.76 


0.760 


7.70 




0, Jan. 


— 0.44 


+1.409 





+174 


+ 1.31 


+ 2 


—288 


300 


0.442 8.75 


0.715 


8.02 




10 


+ 9.53 


1.559 





125 


— 1.56 


2 


284 


400 


0.368] 8.67 


0.664 


8.26 




20 


19.50 


1.659 





74 


4.34 


2 


270 










30 


29.47 


1.707 


+ 1 


+ 20 


6.94 


2 


250 




1866. 


1874. 




Feb. 9 


8.45 


1.700 


1 


— 32 


9.32 


1 


225 





+0.393 


—8.70 


—0.682 


+8.19 




19 

Mar. 1 

11 


18.42 

0.39 

10.36 


1.645 
1.546 
1.409 


2 
2 

2 


78 
119 
151 


11.42 
13.21 
14.66 


+ 1 




195 
162 

128 


100 
200 
300 


0.316 
0.236 
0.154 


8.57 
8.36 
8.08 


0.627 

0.568 
0.504 


8.39 
8.52 
8.59 




21 


20.34 


1.247 


o 


174 


15.76 


— 1 


91 


400 


0.071 


7.73 


0.436 


8.58 




31 


30.31 


1.064 


2 


188 


16.48 


1 


53 




1867. 


1875. 




! 100, Apr. 10 


9.28 


0.873 


3 


192 


16.83 


2 


— 17 





+0.099 


—7.86 


—0.459+8.59 




20 


19.26 


0.683 


3 


187 


16.83 


2 


+ 18 


100 


+0.015 


7.46 


0.389, 8.54 




30 


29.23 


0.501 


3 


174 


16.48 


2 


53 


200 


—0.069 


7.00 


0.315 8.41 




May 10 


9.20 


0.336 


3 


155 


15.78 


2 


87 


300 


0.152 


6.48 


0.239 8 22 




20 


19.17 


0.192 


3 


131 


14.75 


2 


117 


400 


0.234 


5.90 


0.16l| 7.96 




30 


29.15 


+0.075 


2 


101 


13.43 


2 


145 




1868 B. 


1876 B. 




June 9 


8.12 


—0.010 


1 


68 


11.84 


3 


171 










19 


18.09 


0.061 


1 


35 


10.02 


3 


191 





—0.206 


—6.10 


—0.188 


+8.05 




29 


28.06 


0.079 


+ 1 


— 1 


8.03 


3 


206 


100 


0.287 


5.49 


0.109 


7.75 i 




July 9 


8.04 


0.064 





+ 33 


5.91 


3 


217 


200 
300 


0.365 
0.439 


4.83 
4.13 


—0.029 
+0 053 


7.38 ! 
6.95 ! 




200, 19 


18.01 


—0.013 





68 


3.71 


4 


220 


400 


0.810 


3 39 


0.131 


6.46 




29 


27.98 


+0.072 





102 


— 1.54 


3 


215 










Aug. 8 


6.95 


0.191 





135 


+ 0.57 


3 


204 




1869. 


1877. 




V6 


16 93 


0.341 


— 1 


166 


2.52 


3 


185 





—0.487 


—3.64 


+0.104+6.63 
0.184 6.10 




28 


26.90 


0.523 


1 


197 


4.24 


3 


157 


100 


0.554 


2.89 




















200 


0.617 


2.11 


0.261 5.53 




Sept. 7 


5.87 


0.734 


o 


225 


5.64 


3 


122 


300 


0.674 


1.32 


0.3371 4.91 




17 


15.85 


0.972 


2 


250 


667 


3 


83 


400 


0.725| 0.52 


0.410| 4.24 




27 


25 82 


1.234 


2 


273 


7.28 


3 


+ 39 








Oct, 7 


5.79 


1.518 


2 


293 


7.44 


3 


— 10 




1870. 


1878. 




17 


15.76 


1.819 


2 


308 


7.08 


2 


60 





—0.708'— 0.79 


+0.386+4.47 




300, 27 


25.74 


2.132 


2 


317 


6.24 


2 


109 


100 


0.755+0.02 


0.457 


3.78 




Nov. 6 


4.71 


2.450 


3 


318 


4.91 


1 


156 


200 


0.796J 0.82 


0.525 


3.06 : 




16 


14.68 


2.766 


2 


313 


3.14 


1 


198 


300 


0.829 1.61 


0.588 


2.31 | 




26 


24.65 


3.073 


2 


299 


+ 98 


1 


232 


400 


0.855| 2.39 


0.647 


1.54 1 




Dec. 6 


4.63 


3.361 


2 


275 


— 1.48 


1 


259 




1871. 


1879. 




16 
26 
36 


14.60 
24.57 
34.55 


3.621 

3.846 
+4.026 


1 

— 1 




244 

204 
+157 


4.17 

7.01 

— 9.90 


1 

1 
— 1 


278 

288 

—287 


1 
100 

200 


—0.847+2.13 
0.869 2.90 
0.8821 3.63 


+0.627 
0.683 
0.732 


+1.81 

1.03 

+0.23 














300 


0.889' 4.34 


0.776 


—0.56 












400 


0.888| 5.00 


0.813 


1.35 














1872 B. 


1880 B. 






* 6 0, 


July 20.9. 












1 


5Jc d Mean S 


un, July 22.4. 





100 
200 
300 
400 


— 0.889 ! +4.78 
0.883! 5.42' 
0.869 6.01: 
0.848 6.5.51 

—0.821+7.03! 


+0.8011—1.09 
0.834! 1.87 
0.860 2.65 
0.878! 3.40 

+0.890|— 4.12 

































SPECIAL TABLES. 



135 











TABLE XXIV.- 


-e Hydrje. 








h m 
K.A. 8 39.9. 




Dec. + 6 54. 




Upper transit at fictitious meridian. 










A a 






A (J 


Side- 
real 


A !^ a 


A ^ 


A Q a 


A n* 




Sidereal Day. 


Mean Day: 












Day. 




































1870. 


Var. in 

10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 
s " 





















100 


+0.621 
0.533 


—8.38 
8.41 


—0.929 

0.872 


+7.25 

7.58 


























s 






// 






200 


0.440 


8.37 


0.808 


7.85 




0,Jan. 


— 0.42 


+1.193 


— 2 


+225 


— 3.10 





-148 


300 


0.344 


8.25 


0.737 


8.05 




10 


+ 9.55 


1.397 


2 


182 


4.51 





132 


400 


0.244 


8.06 


0.660 


8.18 




20 


19.53 


1.556 


— 1 


135 


5.73 


— 1 


112 










30 


29.50 


1.666 





85 


6.75 


1 


92 




1866. 


1874. 




Feb. 9 


8.47 


1.725 





+ 34 


7.56 


1 


70 





























+0.278 


—8.13 


—0 686 


+8.14 




19 


18.45 


1.734 


+ 1 


— 15 


8.15 


1 


49 


100 


0.176 


7.89 


0.606 


8.23 




Mar. 1 


0.42 


1.696 


1 


58 


8.53 


2 


29 


200 


+0.073 


7.58 


0.521 


8.25 




11 


10.39 


J.619 


2 


94 


8.74 


2 


— 12 


300 


—0.030 


7.21 


0.432 


8.20 




21 


20.36 


1.510 


2 


122 


8.78 


2 


+ 4 


400 


0.133 


6.78 


0.339 


8.09 




31 


30.34 


1.378 


2 


141 


8.67 


2 


16 




1867. 


1875. 




100, Apr. 10 


9.31 


1.230 


2 


151 


8.46 


3 


26 





—0.099—6.93 


—0.370-1-8.13 




20 


19.28 


1.079 


3 


151 


8.14 


3 


35 


100 


0.201 


6.45 


0.275 


7.97 




30 


29.25 


0.930 


3 


144 


7.76 


3 


42 


200 


0.302 


5.92 


0.179 


7.75 




May 10 


9.23 


0.793 


3 


130 


7.31 


3 


48 


300 


0.400 


5.34 


—0.081 


7.46 




20 


19.20 


0.672 


3 


111 


6.81 


2 


52 


400 


0.495 


4.71 


+0.018 


7.11 




30 


29.17 


0.573 


2 


87 


6.27 


2 


56 




1868 B. 


1876 B. 




June 9 


8.14 


0.500 


2 


59 


5.69 


2 


59 










19 


18.12 


0.456 


1 


31 


5.10 


2 


60 





—0.463 


-4.93 


—0.016 


+7.23 




29 


28.09 


0.439 


1 


— 2 


4.50 


2 


60 


100 


0.555 


4.27 


+0.083 


6.84 




July 9 


8.06 


0.452 


1 


-f 27 


3.91 


2 


58 


200 
300 


0.642 
0.723 


3.58 
2.86 


0.181 

0.278 


6.40 
5 90 




200, 19 


18.04 


0.494 


+ 1 


57 


3.35 


2 


53 


400 


0.797 


2.11 


0.372 


5.35 




29 


28.01 


0.566 





87 


2.85 


2 


46 










Aug. 8 


6.98 


0.668 





115 


2.44 


2 


35 




1869. 


1877. 




i ' 18 

28 


16.95 
26.93 


0.796 
0.952 


— 1 
1 


142 

169 


2.15 
2.01 


1 
1 


22 

+ 6 



100 


—0.773 
0.843 


-2.36 
1.60 


+0.341 
0.433 


+5.54 
4.96 




Sept. 7 
17 

i 27 


5.90 

15.87 
25.84 


1.134 
1.344 
1.577 


2 
3 
3 


196 
222 
246 


2.04 
2.29 
2.76 


1 
1 
2 


— 14 
36 

58 


200 
300 
400 


0.905 
0.959 
1.005 


0.84 
—0.06 
+0.72 


0.522 
0.607 
0.688 


4.34 

3.68 
2.99 




Oct. 7 


5.82 


1.836 


4 


269 


3.46 


2 


82 




1870. 


1878. 




jl 17 


15.79 


2.114 


4 


289 


4.40 


2 


106 





























—0.991 


+0.46 


+0.661 


+3.23 




j 300, 27 


25.76 


2.412 


4 


305 


5.57 


2 


127 


100 


1.03! 


123 


0.738 


2.52 




Nov. 6 


4.74 


2.723 


4 


315 


6.91 


2 


145 


200 


1.062 


1.98 


0.808 


1.79 




16 


14.71 


3.041 


4 


319 


8.44 


2 


159 


300 


1.084 


2.72 


0.872 


1.05 




i 26 


24.68 


3.359 


4 


315 


10.07 


2 


167 


400 


1.096 


3.43 


0.925 


0.29 1 




J Dec. 6 


4.65 


3.669 


3 


302 


11.76 


3 


169 




1871. 


1879. 




16 


14.63 


3.961 


3 


280 


13.44 


3 


166 










26 


24.60 


4.228 


3 


251 


15.06 


3 


156 





—1.093+3.19 


+0.911 


+0.55 




36 


34.57 


-J-4.460 


— 2 


+212 


—16.55 


— 4 


—142 


100 
200 
300 
400 


1.099 
1.096 
1.084 
1.063 


3.89 
4.54 
5.16 
5.73 


0.963 
1.007 
1.043 

1.070 


—0.21 
0.98 
1.73 
2.47 




































1872 B. 


1880 B. 




I 


* 


6 0, 




July 3 


1.5. 














* 


c5 Mean £ 


5un, 


Aug. 1 


0. 





100 


—1.071 
1.044 


+5.54« 

6.08 


+1.061 

1.083 


—2.22 
2.95 




r 














200 
300 


1.007 
0.963 


6.57 
7.00 


1.095 

1.098 


3.66 
4.34 




'i 


• 












400 


—0.911 


+7.37 


+1.092—4.98 





136 




• 


SPECIAL TABLES 


















TABLE XXIV.— i Ursa) Majoris. 








h m o / 

E.A. 8 50.3. Dec. + 48 33. 




Upper transit at fictitious meridian. 








A o a 


A d 




Side- 
real 


A a a a q 6 


A Q a 


A Q<* 




Sidereal Day. 


Mean Day. 








Day. 










1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1S73. 

8 " 





















100 


+0.482 
0.346 


—8.30 
8.30 


-1.018+7.32 




















0.911 


7.62 








B 






a 






200 


0.206 


8.22 


0.798 


7.85 




0, Jan. 


— 0.41 


+1.711 


— 5 


+332 


— 9.89 


— 4 


+ 73 


300 


+0.064 


8.07 


0.677 


8.02 




10 


+ 9 56 


2.015 


4 


273 


8.99 


4 


107 


400 


—0.078 


7.85 


0.552 


8.12 




20 


19.53 


2.254 


3 


205 


7.77 


5 


136 










30 


29.51 


2.423 


3 


132 


6.29 


5 


158 




1866. 


1874. 




Feb. 9 


8.48 


2.517 


2 


+ 57 


4.63 


5 


174 





























—0.030 


—7.94 


—0.595 


+8.09 




19 


18.45 


2.538 


— 1 


— 15 


2.84 


5 


181 


100 


0.173 


7.67 


0.467 


8.15 




Mar. 1 


0.42 


2.489 


+ 1 


81 


— 1.03 


5 


180 


200 


0.313 


7.34 


0.335 


8.14 




11 


10.40 


2.378 


2 


139 


+ 0.73 


6 


170 


300 


0.451 


6.94 


0.200 


8.06 




21 


20.37 


2.214 


2 


186 


2.35 


5 


153 


400 


0.586 


6.48 


0.064 


7.91 




31 


30.34 


2.010 


3 


218 


3.77 


4 


129 




1867. 


1875. 




100, Apr. 10 


9.32 


1.781 


3 


237 


4.91 


4 


100 





—0.541 


—6.64 


—0.110 


+7.97 

7.78 




20 


19.29 


1.539 


4 


245 


5.76 


4 


68 


100 


0.672 


6.15 


+0.026 




30 


29.26 


1.295 


4 


239 


6.27 


3 


+ 34 


200 


0.797 


5.60 


0.162 


7.53 




May 10 


9.23 


1.064 


5 


222 


6.44 


2 


— 1 


300 


0.915 


5.00 


0.296 


7.21 




20 


19.21 


0.854 


5 


196 


6.27 


2 


34 


400 


1.025 


4.36 


0.428 


6.84 




30 


29.18 


0.674 


4 


162 


5.77 


— 1 


67 




1868 B. 


1876 B. 




June 9 


8.15 


0.532 


3 


123 


4.94 





98 










19 


18.12 


0.430 


3 


80 


3.83 





124 





—0.989—4.58 


+0.384 +6.97 




29 


28.10 


0.373 


2 


— 34 


2.48 


+ 1 


147 


100 


1.092 


3.91 


0.514 


6.56 




July 9 


8.07 


0.362 


2 


+ 13 


+ 0.90 


1 


167 


200 
300 


1.186 

1.270 


3.22 
2.49 


0.639 
0.760 


6.10 

5.58 




200, 19 


18.04 


0.398 


+ 1 


59 


— 0.84 


1 


183 


400 


1.342 


3.75 


0.874 


5.02 




29 


28.02 


0.480 





104 


2.74 


1 


196 










Aug. 8 


6.99 


0.605 


— 1 


147 


4.74 


2 


205 




1869. 


1877. 




18 

28 


16.96 
26.93 


0.774 
0.985 


2 
3 


190 
232 


6.82 
8.93 


2 

1 


210 
214 



100 


—1.319 
1.384 


—1.99 
1.24 


+0.836 
0.946 


+5.20 
4.61 




Sept. 7 


5.91 


1.238 


4 


273 


11.08 


+ 1 


213 


200 
300 


1.436 
1.476 


-0.47 

+0.29 

1.05 


1.047 
1.141 


3.98 
3.32 




17 


15.88 


1.530 


5 


310 


13.18 





208 


400 


1.503 


1.22£ 


9.63 




27 


25.85 


1.858 


6 


346 


15.22 





200 










Oct. 7 


5.82 


2.221 


7 


379 


17.16 





188 




1876. 


1878. 




17 


15.80 


2.615 


8 


409 


18.97 


— 1 


172 





—1.495+0.80 


+1.197+2.86 




3C0, 27 


25.77 


3.037 


9 


433 


20.59 


2 


151 


100 


1.514 


1.55 


1.275 


2.16 




Nov. 6 


4.74 


3.478 


10 


.448 


21.98 


3 


125 


200 


1.519 


229 


1.342 


1.43 




16 


14.72 


3.930 


10 


454 


23.08 


4 


96 


300 


1.511 


3.01 


1.399 


+0.69 




26 


24.69 


4.383 


10 


450 


23.89 


5 


63 


400 


1.490 


3.70 


1.443 


—0.06 




Dec. 6 


4.66 


' 4.826 


11 


435 


24.33 


6 


— 26 




1871. 


1879. 




16 
26 
36 


14.63 
24.61 

34.58 


5.248 

5.635 

+5.974 


10 
9 

— 8 


407 

365 

+311 


24.41 

24.10 
-23.42 


7 

8 

— 8 


+ 12 

50 

+ 85 



100 
200 
300 


—1.499 

1.469 
1.428 
1.374 


+3.47 
4.14 

4.77 
5.36 


+1.430 
1.406 
1.491 
1.504 


+0.19 

—0.56 

1.31 

2.05 

2.77 












400 


1.309 


5.91 


1.503 














1872 B. 


JSSOB. 






* 


6 0, Aug. 2.2. 














* 


c5 Mean Sun, Aug. 3.7. 







—1.332 +5.73 


+1.505—2.53 












100 


1.260 


6.24 


1.496 


3.24 












200 


1.177 


6.69 


1.475 


3.92 












300 


1.085 


7.09 


1.441 


4.58 












400 


—0.984 +7.48 


+1.395—5.19 



SPECIAL TABLES. 



137 





TABLE XXIV.— ^ 2 Ursje Majoris. 




h m 
R.A. 8 58.9. 


o / 

Dec. + 67 40. 


Upper transit at fictitious meridian. 




| A ° a 


Aj 




Side- 
real 


A Q a 


A a 6 


A ^ a 


A oQ d 


Sidereal Day. 










Day. 










jXLrtil.L/cij . 




| 


















1870. 


Yar.in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 

s " 



















100 


+0.258—8.22 


—1.092 
0.920 


+7.37 
7.64 


















+0.050 


8.19 






s 






n 






200 


—0.141 


8.09 


0.741 


7.84 


0,Jan. 


— 0.40 


+2.876 


—13 


+533 


-12.07 


— 6 


+154 


300 


0.339 


7.91 


0.557 


7.98 


10 


+ 9.57 


3.361 


12 


435 


10.33 


7 


194 


400 


0.536 


7.67 


0.369 


8.05 


20 


19.54 


3.741 


11 


323 


8.22 


7 


226 








30 


29.51 


4.005 


9 


203 


5.85 


8 


248 




1866. 


1874. 


Feb. 9 


8.49 


4.146 


7 


+ 79 


3.30 


9 


261 



























—0.470 


—7.76 


—0.433 


+8.04 


19 


18.4G 


4.164 


4 


— 42 


- 0.67 


8 


262 


100 


0.663 


7.47 


0.242 


8.06 


Mar. 1 


0.43 


4.065 


— 2 


156 


+ 1.91 
4.34 


8 


252 


200 


0.851 


7.12 


—0.050 


8.03 


Jl 


10.40 


3.857 


+ 1 


257 


8 


232 


300 


1.031 


6.70 


+0.142 


7.92 


21 


20.38 


3.557 


3 


340 


6.53 


7 


203 


400 


1.203 


6.23 


0.333 


7.75 


31 


30.35 


3.183 


5 


404 


8.38 


6 


166 




1867. 


1875. 


100, Apr. 10 


9.32 


2.756 


6 


446 


9.82 


5 


123 





—1.146 


—6.40 


+0.269 


+7.82 


20 


19.30 


2.299 


8 


466 


10.81 


4 


76 


100 


1.310 


5.89 


0.457 


7.61 


30 


29.27 


1.832 


9 


465 


11.33 


3 


+ 26 


200 


1.463 


5.32 


0.642 


7.33 


May 10 


9.24 


1.375 


9 


444 


11.34 


— 2 


— 23 


300 


1.603 


4.71 


0.821 


7.00 


20 


1921 


0.949 


10 


406 


10.87 





71 


400 


1.729 


4.07 


0.994 


6.60 


30 


29.19 


0.568 


9 


354 


9.94 





115 




1868 B. 


1876 J3. 


June 9 


8.16 


+0.245 


9 


290 


8.57 


+ 1 


157 








19 


18.13 


—0.010 


8 


218 


6.82 


2 


193 





—1.688 


—4.29 


+0.936 


+6.74 


29 


28.10 


0.189 


7 


140 


4.72 


3 


224 


100 


1.804 


3.62 


1.103 


6.31 


July 9 


8.08 


0.288 


5 


— 58 


+ 2.35 


4 


250 


200 
300 


1.904 
1.987 


2.91 
2.19 


1.261 
1.409 


5.83 
5.30 


200, 19 


18.05 


0.304 


+ 3 


+ 26 


— 0.26 


4 


270 


400 


2.032 


1.44 


1.545 


4.73 


29 


28.02 


0.236 





109 


3.02 


4 


283 








Aug. 8 


6.99 


—0.086 


— 2 


191 


5.90 


4 


291 




I860. 


1877. 


18 
28 


16.97 
26.94 


+0.145 
0.455 


5 

7 


271 

348 


8.83 
11.75 


4 
3 


293 
290 



100 
200 


—2.032 
2.086 
2.122 


—1.70 
0.94 

—0.18 


+1.501 
1.628 
1.743 


+4.93 
4.33 
3.69 


Sept. 7 


5.91 


0.839 


10 


421 


14.61 


3 


281 


300 


2.138 


+0.57 
1.33 


1.843 


3.02 


17 


15.89 


1.296 


13 


490 


17.36 


2 


267 


400 


2.137 


1.929 


2.33 


27 


25.86 


1.818 


16 


554 


19.93 


+ 1 


247 








Oct. 7 


5.83 


2.401 


18 


611 


22.27 





221 




1870. 


1878. 


17 


15.80 


3.038 


21 


660 


24.34 


— 1 


190 



























—2.1391+1.07 


+1.902 


+2.56 


300, 27 


25.78 


3.718 


23 


698 


26.06 


3 


154 


100 


2.125 


1.82 


1.977 


1.85 


Nov. 6 


4.75 


4 430 


25 


723 


27.41 


4 


114 


200 


2.093 


2.54 


2.035 


1.13 


16 


14.72 


5.160 


26 


734 


28.32 


5 


69 


300 


2.043 


3.24 


2.077 


+0.39 


26 


24.69 


5.892 


27 


727 


28.77 


7 


— 21 


400 


1.975 


3.92 


2.102 


—0.35 


Dec. 6 


4.67 


6.607 


28 


700 


28.73 


8 


+ 29 
























1871. 


1879. 


16 
26 
36 


14.64 

24.61 
34.59 


7.285 

7.905 

+8.448 


28 

27 

—26 


652 

585 
+496 


28.19 
27.16 

—25.68 


9 

11 

—11 


79 

126 

+169 



100 
200 
300 


—2.000 
1.921 
1.826 
1.716 


+3.69 
4.34 
4.95 
5.52 


+2.096 
2.109 
2.105 

2.C83 


—0.10 
0.84 
1.58 
2. 31 










400 


1.592 


6.04 


2. 043 


3.02 












187215. 


1880 B. 




* $ Mean Sun, Feb. 4.3. 














* 6 O, Aug. 4 4. 









—1 .635 


+5.87 


+2.059 


-2.78 


d 


5jc 6 Mean Sun, Aug-. 5.9. 






100 


1.502 


6.35 


2.008 


3.47 










200 


1.357 


6.78 


1.940 


4.14 










300 


1.200 


7.15 


1.855 


4.77 











400 


—1.035 


+7.47 


+ 1.754 


—5.36 

1 



138 



SPECIAL TABLES. 









TABLE XXIV.- 


-k Cancri. 






h ra 

R.A. 9 0.7. 




o / 

Deo. + 11 It. 


Upper transit at fictitious meridian. 














Side- 
















A Q a 




aJ 


real 


A « a 


A 0« 


A Q a 


A R* 


Sidereal Day. 


Mean Day. 










Day. 










1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

s " 



















100 


+0.602 
0.511 


—8.20 
8.16 


—0.929 
0.868 


+7.38 
7.64 






















s 






" 






200 


0.415 


8.06 


0.800 


7.84 


0,Jan. 


— 0.40 


+1.134 


— 2 


+248 


— 4.15 





—133 


300 


0.315 


7.88 


0.725 


7.97 


10 


+ 9.57 


1.363 


2 


207 


5.39 





114 


400 


0.212 


7.63 


0.644 


8.04 


20 


19.54 


1.546 


— 1 


159 


6.43 


— 1 


93 








30 


29.51 


1.680 





108 


7.24 


1 


69 




1866. 


1874. 


Feb. 9 


8.49 


1.762 





56 


7.82 


1 


46 





+0.247 


-7.72 


—0.672 


+8.02 


19 

Mar. 1 

11 

21 


18 46 

0.43 

10.40 

20.38 


1.793 

1 1.776 

1.717 

1.623 






+ 1 

1 


+ 6 
- 39 

78 
108 


8.16 
8.33 
8.30 
8.13 


2 
2 
2 
2 


26 

— 7 

+ 10 

22 


100 
200 
300 
400 


0.142 
+0.037 
—0.069 

0.174 


7.43 

7.07 
6.65 
6.17 


0.588 
499 
0.406 
0.311 


8.05 
8.01 
7.90 i 
7.72 


31 


30.35 


1.503 


2 


130 


7.86 


3 


31 




1867. 


1875. 


100, Apr. 10 


9.32 


1.365 


3 


143 


7.52 


3 


38 





—0.130 


—6.34 


—0.343+7.79 


20 


19.30 


1.220 


3 


148 


7.10 


3 


44 


100 


0.243 


5.82 


0.246 


7.57 


30 


29.27 


1.072 


3 


145 


6.65 


3 


46 


200 


0.345 


5.26 


0.146 


7.29 


May 10 


9.24 


0.933 


3 


133 


6.19 


3 


47 


300 


0.444 


4.65 


—0.046 


6.96 


20 


19.21 


0.809 


3 


117 


5.71 


2 


47 


400 


0.539 


4.00 


+0.055 


6.56 


30 


29.19 


0.702 


3 


95 


5.26 


2 


45 




1868 B. 


1876 B. 


June 9 


8.16 


0.619 


2 


69 


4.81 


2 


44 








19 


18.13 


0.564 


2 


43 


4.38 


2 


41 





—0.508 


—4.22 


+0.021 


+6.70 


29 


28 10 


0.533 


2 


— 16 


3 98 


2 


36 


100 


0.600 


3.55 


0.122 


6.27 


July 9 


8.0S 


0.532 


1 


+ 12 


3.65 


2 


31 


200 
300 


0.686 
0.766 


2.85 
2.12 


0.222 
0.32U 


5.79 
5.25 


200, 19 


18.05 


0.558 


+ 1 


40 


3.37 


2 


25 


400 


0.840 


1.38 


0.415 


4.68 


29 


28.02 


0.613 





69 


3.15 


2 


17 








Aug. 8 


7.00 


0.696 





97 


3.04 




+ 6 




1869. 


1877. 


18 


16.97 


0.808 


— 1 


125 


3.04 




— 7 





—0.816 


—1.62 


+0.383 


+4.87 


28 


26.94 


0.947 


1 


153 


3.19 




24 


100 

200 


0.885 
0.946 


0.87 
—0.12 


0.474 
0.566 


4.27 
3.63 


Sept. 7 


5.91 


1.114 


2 


182 


3.52 




42 


300 


0.998 


+0.64 
1.39 


0.651 


2.96 


17 


15.89 


1.310 


3 


210 


4.03 




64 


400 


1.042 


0.731 


2.27 


27 


25.86 


1.534 


3 


236 


4.74 




81 








Oct. 7 


5.83 


1.782 


3 


261 


5.65 




102 




1870. 


1878. 


17 


15.80 


2.056 


3 


285 


6.77 




121 



























—1.028 


+1.14 


+0.704 


2.51 


300, 27 


25.78 


2.351 


4 


305 


8.06 




138 


100 


1.066 


1.88 


0.780 


1.80 


Nov. 6 


4.75 


2.664 


4 


319 


9.52 




152 


200 


1.094 


2.60 


850 


1.07 


16 


14.72 


2.986 


4 


326 


11.09 




161 


300 


1.113 


3.30 


0.913 


+0.34 ( 


26 


24.69 


3.313 


4 


326 


12.73 




165 


400 


1.123 


3.96 


0.96& 


—0.40 


Dec. 6 


4.67 


3.635 


4 


317 


14.38 


2 


163 




1871. 


1870, 


16 

26 
36 


14.64 
24.61 
34.59 


3.944 
4.229 

+4.480 


4 

3 

— 3 


298 

269 

+232 


15.98 

17.48 

—18.85 


2 

3 

— 3 


155 

144 

—127 



100 
200 
300 


—1.121 
1.124 
1.117 

1.101 


+3.74 
4.39 

4.99 
5.55 


+0.950 
1.000 
1.042 
1.076 


—0.15 
0.90 
1.63 
2.35 














400 


1.076 


6.07 


l.'lOO 


3.06 
















1872 B. 


1880 B. 




* 


6 O, 


Aug. 4 


.9. 












* 


d Mean I 


Sun, Aug. 6 


.3. 





100 
200 
300 


—1.085 
1.054 
1.014 

0.966 


+5.90 
6.38 
6.80 
7.17 


+1.093 
1.111 
1.120 
1.120 


—2.82 
3.51 
4.17 

4.80 














400 


—0.909 +7.47 


+1.110 


-5.39 



SPECIAL TABLES. 



139 







TABLE XXIV. 


— i Argus. 




h m 
R.A. 9 13.6. 




o / 

Dec. —58 44, 


Upper transit at fictitious meridian. 








A Q a 




A d 


Side- 
real 
Day. 


A ^ a 


A a<> 


A Q a 


A Q^ 


Sidereal Day. 


MeanDay. 










































1870. 


Var.in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 
s 



















100 


+0.947 
0.943 


—8.05 
7.97 


—0.849 

0.881 


+7.42 
7.64 






















s 






a 






200 


0.932 


7.83 


• 0.905 


7.80 


0,Jan. 


— 0.40 


+2.074 





+316 


+ 9.95 


+ 2 


—349 


300 


0.912 


7.61 


0.922 


7.89 


10 


+ 9.58 


2.354 


+ 1 


241 


6.35 


2 


370 


400 


0.884 


7.33 


0.931 


7.92 


20 


19.55 


2.555 


2 


160 


+ 2.59 


2 


381 








30 


29.52 


2.674 


2 


+ 77 


— 1.23 


2 


381 




1866. 


1874. 


Feb. 9 


8.50 


2.709 


3 


— 7 


4.99 


2 


370 



























+0.894 


—7.43 


—0.929 


+7.92 


19 


18.47 


2.662 


3 


86 


8.61 


2 


352 


100 


0.861 


7.10 


0.932 


7.90 


Mar. 1 


0.44 


2.540 


3 


158 


12.01 


1 


325 


200 


0.820 


6.72 


0.929 


7.82 


11 


10.41 


2.350 


4 


220 


15.09 


1 


291 


300 


0.773 


6.27 


0.917 


7.67 


21 


20.39 


2.104 


4 


271 


17.82 


+ 3 


253 


400 


0.719 


5.77 


0.898 


7.47 


31 


30.36 


1.811 


4 


312 


20.13 





210 




1867. 


1875. 


100, Apr. 10 


9.33 


1.483 


4 


341 


22.00 





162 





+0.738 


—5.94 


—0.905 -1-7.54 


20 


19.30 


1.132 


3 


359 


23.37 





113 


100 


0.679 


5.41 


0.881 


7.29 


30 


29.28 


0.768 


3 


365 


24.25 





62 


200 


0.614 


4.82 


0.850 


6.98 


May 10 


9.25 


0.405 


3 


360 


24.60 


— 1 


— 10 


300 


0.545 


4.20 


0.812 


6.62 


20 


19.22 


+0.051 


2 


347 


24.45 


1 


+ 41 


400 


0.470 


3.54 


0.767 


6.20 


30 


29.20 


-0.288 


2 


324 


23.79 


2 


91 




186S B. 


1876 B. 


June 9 


8.17 


0.595 


+ 1 


293 


22.63 


2 


139 








19 


18.14 


0.870 





255 


21.02 


2 


182 





+0.496 


—3.77 


—0.783 


+6.34 


29 


28.11 


1.103 


— I 


210 


19.00 


2 


221 


100 


0.419 


3.09 


0.734 


5.89 


July 9 


8.09 


1.289 


1 


160 


16.62 


3 


253 


200 
300 


0.338 
0.254 


2.38 
1.65 


0.679 
0.618 


5.39 

4.84 


200, 19 


18.06 


1.422 


1 


104 


13.97 


3 


277 


400 


0.169 


0.91 


0.552 


4.25 


29 


28.03 


1.496 


2 


— 43 


11.10 


3 


295 








Aug. 8 


7.00 


1.508 


3 


+ 20 


8.10 


3 


302 




1869. 


1877. 


18 
) 28 


16.98 
26.95 


1.456 
1.336 


3 
4 


86 
154 


5.09 
— 2.17 


3 
3 


298 
284 



100 


+0.198 
0.111 


—1.16 

—0.42 


—0.574 
0.505 


+4.45 
3.83 


Sept. 7 


5.92 


1.149 


5 


221 


+ 0.56 


3 


259 


200 
300 


+0.024 
—0.063 


+0.33 
1.07 


0.432 
0.355 


3.19 
2.51 


17 


15.89 


0.895 


5 


286 


2.98 


2 


224 


400 


0.150 


1.80 


0.275 


1.82 


27 


25.87 


0.579 


5 


346 


5.02 


2 


180 








Oct. 7 


5.84 


-0.206 


5 


400 


6.56 


2 


127 




1870. 


1878. 


17 


15.81 


+0.217 


5 


444 


7.54 


1 


67 



























—0.121 +1.55 


—0.302 


+2.06 


300, 27 


25.79 


0.678 


4 


476 


7.89 


1 


+ 4 


100 


0.207 


2.27 


0.221 


1.35 


i Nov. 6 


4.76 


1.165 


4 


496 


7.61 


— 1 


— 62 


200 


0.290 


2.97 


0.137 


+0.63 


16 


14.73 


1.665 


3 


501 


6.J36 
5.10 





126 


300 


0.371 


3.64 


—0.052 


—0.10 


26 


24.70 


2.162 


2 


488 





186 


400 


0.449 


4.28 


+0.034 


0.83 


Dec. 6 


4.68 


2.637 


1 


459 


2.95 





243 




1871. 


1879. 


16 
26 
36 


14.65 
24.62 
34.59 


3.076 

3.468 

+3.789 


— 1 


+ 1 


416 

358 

+288 


+ 0.26 

— 2.86 

— 6.30 




+ 1 
+ 1 


292 
331 

—358 



100 
200 


—0.423+4.07 

0.498| 4.68 
0.569 5.25 


+0.005 
0.09J 
0.176 


—0.58 
1.30 
2.02 
















300 


0.634 5.77 


0.260 


2.72 












400 


0*6941 6.25 


0.342 


3.' 40 














1872 B. 


1880 B. 




* 6 0, 


Aug. 8 


2. 












% 6 Mean g 


un, Aug. 9 


6. 







—0.674 


+6.C9 


+0.314 


—3.17 






' 






100 


0.730 


6.53 


0.395 


3.84 












200 


0.780 


6.92 


0.472 


4.47 












300 


0.823 


7.24 


0.545 


5 07 












400 


—0.860 


+7.50 


+0.614 


—5.62 



140 



SPECIAL TABLES. 





TABLE XXIV.-* 1 Draconis (H.) 


' 


h in o i 
K.A. 9 18.3. Dec. +81 54. 


Upper transit at fictitious meridian. 






A Q a 


A o* 


Side- 
real 


A tt a 


A ^ 


A Q a 


A ^ 


Sidereal Day. 


M7*an Tin v 






Day. 










1M.I/Clli. XJtXj • 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

s 




















100 


—0.770 

1.188 


—8.00 
7.91 


—1.127 
0.719 


+7.43 
7.64 






















s 






// 






200 


1596 


7.75 


—0.307 


7.78 


0, Jan. 


— 0.39 


+ 7.186 


— 81 


+1352 


—13.84 


—10 


+185 


300 


1.991 


7.52 


+0.107 


7.85 


10 


-f- 9.58 


8.422 


79 


1113 


11.76 


12 


229 


400 


2.369 


7.23 


0.518 


7.86 


20 


19.55 


9.401 


75 


839 


9.28 


13 


265 








30 


29.53 


10.091 


68 


538 


6.49 


14 


290 




1866. 


1874. 


Feb. 9 


8.50 


10.470 


59 


+ 222 


3.51 


15 


304 



























—2.244 


—7.33 


+0.380+7.87 


19 


18.47 


10.534 


49 


— 95 


— 0.46 


15 


305 


100 


2.608 


7.00 


0.788 


7.84 


Mar. 1 


0.45 


10.287 


38 


397 


+ 2.55 


14 


294 


200 


2.950 


6.60 


1.190 


7.74 


11 


10.42 


9.748 


25 


674 


5.38 


13 


271 


300 


3.266 


6.14 


1.580 


7.57 


21 


20.39 


8.950 


— 13 


914 


7.93 


12 


237 


400 


3.554 


5.63 


1.956 


7.35 


31 


30.36 


7.935 





1109 


10.09 


11 


195 




1867. 


1875. 


100, Apr. 10 


9.34 


6.750 


+ 11 


1251 


11.80 


9 


146 





—3.460 


—5.81 


+1.831 
2.197 


+7.43 
7.17 


20 


19.31 I 5.450 

29.28 4.088 


21 


1340 


12.98 


7 


91 


100 


3.727 


5.26 


30 


30 


1374 


13.61 


5 


+ 35 


200 


3.962 


4.68 


2.544 


6.85 


May 10 


9.25 


2.719 


37 


1355 


13.68 


3 


— 22 


300 


4.161 


4.05 


2.870 


6.47 


20 


19.23 


1.393 


42 


1288 


13.17 


— 1 


79 


400 


4.324 


3.38 


3.171 


6.03 


30 


29.20 


+ 0.156 


45 


1179 


12.12 


+ 1 


131 




1868 B. 


1876 B. 


June 9 


8.17 


— 0.952 


45 


1032 


10.56 


3 


180 








19 


18.15 


1.898 


44 


856 


8.54 


4 


223 





—4.273 


—3.61 


+3.072 


+6.18 


29 


28.12 


2.657 


40 


657 


6.12 


6 


260 


100 


4.411 


2.92 


3.357 


5.72 


July 9 


8.09 


3.207 


34 


441 


3.37 


7 


290 


200 
'300 


4.509 

4.569 


2.22 
1.49 


3.614 
3.841 


5.20 
4.65 


2C0, 19 


18.06 


3.536 


26 


— 215 


+ 0.34 


7 


314 


400 


4.588 


0.75 


4.036 


4.G5 


29 


28.04 


3.635 


16 


+ 16 


— 2.89 


8 


330 








Aug. 8 


7.01 


3.503 


+ 5 


249 


6.24 


8 


340 




1860. 


SS77. 


18 
28 


16.98 
26.95 


3.139 

2.650 


— 8 
22 


478 
700 


9.65 
13.05 


7 
7 


342 
337 



100 


—4.586 

4.578 


—1.00 
-0.26 


+3.974 

4.148 


+4.26 
3.64 


Sept. 7 


5.93 


1.743 


.36 


912 


16.37 


6 


326 


200 
300 


4.531 

4.444 


+0.48 
1 .22 


4.287 
4.392 


2.99 
2.31 


17 


15.90 \— 0.730 


51 


1112 


19.55 


4 


308 


400 


4.320| 1.94 


4.460 


l.fSt 


27 


25.87 + 0.475 


67 


1295 


22.51 


3 


283 








Oct. 7 


5.84 


1.853 


82 


1458 


25.18 


+ 1 


252 




187©. 


1878. 


17 


15.81 


3.382 


97 


1597 


27.52 


— 1 


214 



























—4.366 


+1.70 


+4.441+1.85 


300, 27 


25.79 


5.036 


111 


1707 


29.45 


3 


171 


100 


4.216 


2.41 


4.485 1.15 


Nov. 6 


4.76 


6.783 


124 


1781 


30.92 


6 


122 


200 


4.051 


3.10 


4.492+0.43 


16 


14.74 


8.586 


135 


1817 


31.89 


8 


70 


300 


3.811 


3.76 


4.401—0.29 


26 


24.71 


10.402 


145 


1807 


32.30 


11 


— 14 


400 


3.559 


4.39 


4.393 1.02 


Dec. 6 


4.68 


12.184 


153 


1748 


32.16 


13 


+ 43 




1871. 


1879. 


16 


14.65 


13.881 


158 


1638 


31.44 


15 


100 








26 
36 


24.63 
34.60 


15.443 
+16.819 


160 
—160 


1477 

+1268 


30.18 
—28.39 


18 
—20 


154 

+202 



100 
200 
300 


— 3.648 
3.375 
3.076 
2.750 


-T-4.JC 

4.78 
5.34 

5.85 


+4.420 
4.328 
4.199 
4.035 


— U.77 
1.49 

2.20 
2.89 






400 


2.403 


6.31 


3^836 


3.' 56 








1873 B. 


18SOB. 




* 8 Mean Sun, Feb. 9.2. 










-X- 6 0, Aug. 9.4. 
>fc d> Mean Sun, Aug. 10.8. 



100 


—2.523+6.16 
2.162 6.59 


+3,9071—3.34 
3.6861 3.99 






200 


1.784 6 95 


3.434 4.60 






300 


1.392, 7.26 


3.152! 5.18 






400 


—0.990+7.51 


+2.8431—5.72 



SPECIAL TABLES. 



141 





TABLE XXIV.-*rf Ursae Mnjoris. 




h m 
K.A, 9 22.9. 


o / 

Dec. + 70 24. 




Upper transit at fictitious meridian. 






A o a 




A <> 


Side- 
real 


A Q a 


A Q<5 


A Q a 


A Q* 


Sidereal Day. 


Afpjvn T'lnv 








Day. 










1U.CHJJL ±Ji.lj . 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 
s " 



















100 


+0.041 
—0.174 


—7.93 

7.83 


—0.973+7.44 


















0.779 


7.63 






s 






// 






200 


0.389 


7.65 


0.578 


7.76 


0, Jan. 


— 0.39 


+2.980 


—18 


+635 


—13.75 


— 5 


+139 


300 


0.600 


7.41 


0.374 


7 82 


10 


+ 9.59 


3.566 


17 


534 


12.12 


6 


185 


400 


0.807 7.10 


0.166 


7.81 


20 


19.56 


4.043 


15 


416 


10.08 


7 


222 








30 


29.53 


4.394 


13 


285 


7.70 


8 


251 




1866. 


1874. 


Feb. 9 


8.50 


4.610 


11 


148 


5.10 


8 


269 



























—0.738 


— 7. k 22 


—0.237 


+7.82 


19 


18.48 


4.689 


9 


+ 10 

—122 

241 


— 2.36 


9 


275 


100 


0.940 


6.87 


—0.029 


7.78 


Mar. 1 
11 


0.45 
10.42 


4.632 

4.450 


6 
— 3 


+ 0.37 
3.02 


9 

8 


271 

255 


200 
300 


1.134 
1.318 


6.46 

5.99 


+0.180 
0.385 


7.67 
7.49 


21 


20.40 


4.155 





344 


5.43 


8 


228 


400 


1.490 


5.4? 


0.588 


7.26 


31 


30 37 


3.769 


+ 3 


426 


7.54 


7 


193 




1867. 


1875. 


100, Apr. 10 


9.34 


3.311 


5 


486 


9.27 


6 


151 





-1.434 


—5.65 


+0.520 


+7.34 


20 


19.31 


2.806 


7 


521 


10.56 


5 


104 


100 


1.598 


5.10 


0.719 


7.06 


30 


29.29 


2.277 


9 


533 


11.35 


4 


54 


200 


1.748 


4.51 


0.912 


6.73 


May 10 


9.26 


1.747 


10 


523 


11.63 


2 


+ 3 


300 


1.882 


3.88 


1.097 


6.35 


20 


19.23 


1.237 


11 


493 


11.40 


— 1 


— 48 


400 


2.000 


3.21 


1.273 


5.91 


30 


29.20 


0.766 


11 


446 


10.67 





97 




1868 B. 


1876 B. 


Juno 9 


8.18 


0.350 


11 


384 


9.47 


+ 1 


143 








19 


18.15 


+0.002 


10 


311 


7.83 


3 


184 


c 


—1.963 


—3.44 


+1.215 


+6.06 


29 


28.12 


—0.270 


9 


230 


5.81 


3 


220 


100 


2.068 


2.75 


1.385 


5.59 


July 9 


8.09 


0.456 


7 


142 


3.46 


3 


250 


200 
300 


2.15? 

2.226 


2.04 
1.32 


J. 542 

1.688 


5.07 
4.51 


200, 19 


18.07 


0.553 


5 


— 52 


+ 0.83 


4 


275 


400 


2.276 


0.5^ 


1.819 


3.91. 


29 


28.04 


0.559 


+ 3 


+ 40 


— 2.02 


4 


293 








Aug. 8 


7.01 


0.472 





134 


5.01 


4 


305 




1869. 


1877. 


18 


16.99 


0.292 


— 4 


225 


8.10 


4 


312 





—2.261 


—0.83 


+1.776 

1.898 


+4.11 
3.49 


28 


26.96 


—0.022 


7 


315 


11.23 


4 


313 


100 


2.298 


—0.09 


















200 


2.314 


+0.64 


2.004 


2.84 


Sept. 7 


5.93 


+0.337 


10 


402 


14.33 


4 


307 


300 


2.311 


1.3? 


2.094 


2.16 j 


17 


15.90 


0.781 


13 


486 


17.35 


3 


295 


400 


2.287 


2.09 


2.166 


1.47 


27 


25.88 


1.306 


17 


564 


20.21 


2 


277 








Oct. 7 


5.85 


1.906 


20 


635 


22.86 


+ 1 


253 




1870. 


1878. 


17 


15.82 


2.574 


23 


699 


25.25 





223 





—2 2971+1.85 


■ 
+2.144+1.71 


300, 27 


25.79 


3.300 


26 


751 


27.30 


— 1 


.187 


100 


2.260 


2.55 


2.205 1.00 | 


Nov. 6 


4.77 


4.072 


29 


790 


28.96 


2 


145 


200 


2.204 


3 23 


2.247+0.29 1 


16 


14.74 


4.874 


31 


812 


30.19 


4 


98 


300 


2.129 


3.88 


2.272—0.43 ! 


26 


24.71 


5.690 


33 


815 


30.93 


5 


— 48 


400 


2.036 


4.49 


2.27?| 1.15 


Dec. 6 


4.69 


6.497 


34 


796 


31.15 


7 


+ 4 




1871. 


1879. 


16 
26 
36 


14.66 
24.63 
34.60 


7.274 

7 997 

+8.643 


35 

35 

—34 


754 

688 

+600 


30.84 
30.01 

—28.68 


8 

10 

—10 


57 

109 

+157 



100 

200 
300 


—2.069 
1.964 
1.843 
1.707 


+4.29 
4.88 
5.42 
5.92 


+2.277 
2.270 
2.244 
2.199 


—0.91 
1.62 
2.32 
3 00 








400 


1.556 


6.3? 


2. 136 


3.66 










1872 B. 


I880B. 




;fc 8 Mean Sun, Feb. 11.6. 












# 6 0, Aug. 10.6. 







—1.609 


+6.22 


+2.159—3.44 




>fc 6 Mean Sun, Aug. 12.2. 




100 


1.450 


6.63 


2.084 4.(8 








200 


1.279 


6.99 


J. 990 4.69 








300 


1.098 


7 28 


].8;9j 5.26 i 








400 


—0.908+7.51 


+1.753J— 5.79 ! 



142 



SPECIAL TABLES. 







TABLE XXIV.— 1 


Ursae Majoris. 






h m 
R.A. 1 24.1. 


o t 

Dec. + 52 16. 


Upper transit at fictitious meridian. 






A Q a 






A <! 




Side- 
real 


A Q a 


^ 


A Q a 


W 


Sidereal Day. 


Mean Day. 












Day. 










1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

9 " 


1873. 

s " 



















100 


+0.357 
0.214 


-7.91 

7.81 


—0.938 
0.821 


+7.44 
7.63 






















s 






// 






200 


+0.068 


7.63 


0.697 


7.75 


0,Jan. 


— 0.39 


-+1.641 


— 6 


+389 


—12.12 


— 3 


+ 59 


300 


—0.078 


7.38 


0.568 


7.81 


10 


+ 9.58 


2.002 


6 


331 


11.32 


3 


101 


400 


0.224 


7.07 


0.434 


7.80 


20 


19.56 


2.300 


5 


263 


10.12 


4 


136 








30 


29.53 


2.525 


4 


187 


8.61 


5 


166 




1866. 


1S74. | 


Feb. 9 


8.50 


2.673 


3 


108 


6.82 


5 


189 



























—0.175 


—7.18 


—0.480 


+7.81 


19 


18.48 


2.741 


2 


+ 30 


4.86 


5 


202 


100 


0.320 


6.83 


0.344 


7.76 


Mar. 1 


0.45 


2.734 


— 1 


— 45 


2.81 


6 


206 


200 


0.462 


6.42 


0.205 


7.65 


11 


10.42 


2.654 





111 


— 0.77 


6 


200 


300 


0.600 


5.95 


—0.065 


7.47 


21 


20.39 


2.515 


+ 1 


167 


+ 1.17 


5 


186 


400 


0.733 


5.43 


+0.075 


7.23 


31 


30.37 


2.324 


2 


212 


2.92 


5 


164 




1867. 


1875. 


100, Apr. 10 


9.34 


2.095 


3 


243 


4.43 


4 


136 





—0.689 


—5.61 


+0.028-1-7.32 


20 


19.31 


1.843 


3 


259 


5.63 


4 


103 


100 


0.817 


5.06 


0.168 


7.04 


30 


29.28 


1.582 


4 


262 


6.47 


3 


65 


200 


0.939 


4.46 


0.306 


6.71 


May 10 


9.26 


1.322 


4 


254 


6.94 


2 


+ 27 


300 


1.052 


3.83 


0.442 


6.32 


20 


19.23 


1.077 


4 


235 


7.02 


1 


— 12 


400 


1.156 


3.16 


0.574 


5.88 


30 


29 20 


0.855 


4 


207 


6.70 


— 1 


50 




1868 B. 


1876 B. J 


June 9 


8.18 


0.665 


4 


173 


6.02 





86 








19 


18.15 


0.511 


3 


134 


4.99 





120 





—1.122 


—3.39 


+0.530 


+6.03 


29 


28.12 


0.399 


2 


89 


3.64 





150 


100 


1.219 


2.70 


0.659 


5.56 


July 9 


8.09 


0.333 


2 


— 43 


2.01 


+ 1 


176 


200 
300 


1.306 
1.381 


1.99 
1.27 


0.782 
0.899 


5.04 
4.47 


200, 19 


18.07 


0.313 


1 


+ 4 


+ 0.14 


1 


198 


400 


1.443 


0.54 


1.009 


3.87 


29 


28.04 


0.340 


+ J 


51 


— 1.94 


2 


217 








Aug. 8 


7.01 


0.415 


- 1 


98 


4.18 


2 


232 




1869. 


1S77. 


18 

28 


16.98 
26.96 


0.536 
0.704 


2 
3 


145 
192 


6.56 
9.01 


3 

2 


242 

248 



100 


—1.423 

1.478 


—0.78 
—0.04 


+0.973 
1.077 


+4.07 
3.45 


Sept. 7 


5.93 


0.919 


4 


238 


11.51 


2 


252 


200 
300 


1.519 
1.547 


+0.69 
1.42 


1 173 
1.259 


2.80 
2.12 


17 


15.90 


1.180 


5 


284 


14.03 


2 


250 


400 


1.561 


2.13 


1.335 


1.43 


27 


25.87 


1.486 


6 


328 


16.49 


2 


242 










Oct. 7 


5.85 


1.834 


7 


369 


18.86 


+ 1 


231 




1870. 


1878. 


17 


15.82 


2.222 


8 


407 


21.09 





214 



























—1.558 


+1.89 


1.311 


+1.66 


300, 27 


25.79 


2.645 


10 


439 


23.13 





193 


100 


1.564 


2.59 


1.380 


0.96 


Nov. 6 


4.77 


3.097 


11 


464 


24.93 


— 1 


165 


200 


1.556 


3.27 


1.437 


+0.25 


16 


14.74 


3.570 


11 


480 


26.42 


2 


133 


300 


1.535 


391 


1.483 


—0.47 


26 


24.71 


4.053 


11 


485 


27.57 


3 


96 


400 


1.500 


4.52 


1.516 


1.18 


Dec. 6 


4.68 


4.536 


12 


478 


28.33 


4 


55 




1871. 


1879. 


16 
26 
36 


14.66 
24.63 
34.60 


5.004 
5.441 

+5.835 


12 

12 

—12 


455 

418 
+368 


28.66 

28.56 

-28.01 


6 

— 7 


— 12 
+ 32 
+ 74 



100 
200 


—1.513 
1.470 
1.415 


+4.32 
4.91 
5.45 


+1.506 
1.532 
1.544 


—0.94 
1.65 
2.35 
















300 


1.348 
1.270 


5.94 


1.544 


3.03 














400 


&38 


L531 


3^69 
















1872 B. 


1880 B. 




* 
* 


6 0, 

6 Mean Sun, 


Aug. 11.0. 
Aug. 12.3. 







100 
200 


—1.298 
1.212 
1.117 


+6.24 
6.65 

7.00 


+1.537 
1.515 

1.480 


—3.47 
4.11 
4.71 














300 


1.013 7.28 


1.433 


5.28 


1 












400 


— 0.900|+7.51 


+1.373 


—5.80 



SPECIAL TABLES. 



143 







TABLE XXIV.- 


-e Lconis. 






h m 
R.A. 9 38.5. 




/ ' 

Dec. + 24 22. 


Upper transit at fictitious meridian. 






A Q a 




A Q cJ 




Side- 
real 
Day. 


A n a 


A B* 


A a a 


A Q^ 


Sidereal Day. 


Mean Day. 










































1870. 


Var. in 
10 y. 


DHF. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

B 


1873. 

8 " 



















100 


+0.522 
0.419 


—7.79 
7.54 


—0.910 
0.835 


+7.44 
7.58 






















8 






// 






200 


0.312 


7.32 


0.753 


7.66 


0, Jan. 


— 0.38 


+1.053 


— 4 


+296 


— 7.68 





— 87 


300 


0.202 


7.04 


0.665 


7.67 


10 


+ 9.59 


1.330 


3 


257 


8 42 


— 1 


58 


400 


0.090 


6.69 


0.572 


7.62 


20 


19.57 


1.564 


2 


210 


8.84 


1 


— 26 








30 


29.54 


1.748 


1 


158 


8.95 


2 


+ 2 




1866. 


1874. 


Feb. 9 


8.51 


1.879 


— 1 


104 


8.81 


2 


27 





+0.127 


-6.81 


—0.604 


+7.64 


19 
Mar. 1 


18.49 
0.46 


1.955 

1.977 






+ 49 
— 3 


8.42 
•7.80 


3 

3 


51 
69 


100 
200 


+0.015 
-0.098 


6.43 
5.99 


0.508 
0.408 


7.55 
7.39 


11 
21 


10.43 

20.40 


1.951 

1.883 


1 


48 
86 


7.05 
6.20 


3 
3 


81 
88 


300 
400 


0.210 
0.320 


5.49 
4.95 


0.305 
0.200 


7.17 

6.90 


31 


30.38 


1.781 


2 


115 


5.30 


4 


90 




1867. 


1875. 


100, Apr. 10 


9.35 


1.655 


2 


136 


4.41 


3 


87 





—0.283 


—5.13 


—0.235 


+7.00 


20 


19 32 


1.511 


2 


148 


3.58 


3 


80 


100 


0.392 


4.56 


0.129 


6.68 


30 


29.29 


1.362 


3 


150 


2.83 


3 


69 


200 


0.497 


3.95 


—0.021 


6.32 


May 10 


9.27 


1.213 


3 


146 


2.20 


2 


57 


300 


0.59? 


3.30 


+0.087 


5 90 


20 


19.24 


1.073 


3 


135 


1.70 


2 


43 


400 


0.692 


2.63 


0.193 


5.43 


30 


29.21 


0.946 


3 


118 


1.35 




27 




1868 B. 


1876 B. 


June 9 


8.19 


0.830 


2 


97 


1.15 




+ 11 








19 


18.16 


0.753 


2 


73 


1.13 




— 5 





—0.661 


—2.86 


+0.157+5.59 


29 


28.13 


0.693 


2 


47 


1.24 




20 


100 


0.752 


2.17 


0.263 


5.09 


July 9 


8.10 


0.659 


2 


— 20 


1.53 




35 


200 

300 


0.836 
0.913 


1.46 
0.74 


0.367 

0.468 


4.55 
3.97 


200, 19 


18.08 


0.654 


1 


+ 8 


1.94 


1 


50 


400 


0.982 


0.02 


0.565 


3.36 


29 


28.05 


0.676 


1 


36 


2.52 





65 








Aug. 8 


7.02 


0.726 


+ 1 


66 


3.24 





80 




1869. 


1877. 


lb 


16.99 


0.809 


— 1 


97 


4.11 





95 





—0.960—0.26 


+0.533 


+3.57 


28 


26.97 


0.921 


1 


127 


5.13 





110 


100 


1.023+0.46 


0.627 


2.95 


















200 


1.077 


1.18 


0.710 


2.28 


Sept 7 


5.94 


1.063 


2 


158 


6.31 





124 


300 


1.122 


1.88 


0.799 


1.60 


17 


15.91 


1.236 


2 


190 


7.62 





138 


400 


1.15? 


2.5? 


0.876 


0.91 


27 


25.88 


1.442 


3 


222 


9.08 





151 








Oct. 7 


5.86 


1.679 


3 


253 


10.64 





163 




1870. 


1878. 


17 


15.83 


1.947 


4 


283 


12.34 





173 



























— 1 146+2.34 


+0.851 


+ 1.15 


300, 27 


25.80 


2.243 


4 


309 


14.09 





177 


100 


1.174 


3.01 


0.923 


+0.45 


Nov. 6 


4.78 


2.563 


5 


332 


15.87 





178 


200 


1.192 


3.66 


0.968 


—0.25 


16 


14.75 


2 904 


5 


347 


17.64 


1 


174 


300 


1.200 r 4.2? 


1.044 


0.95 


26 


24.72 


3.255 


6 


353 


19.34 


1 


164 


400 


1.198| 4.84 


1.093 


1.65 


Dec. 6 


4.69 


3.608 


6 


351 


20.91 


1 


149 




1871. 


1879. 


16 
26 

36 


14.67 
24.64 
34.61 


3.954 

4.283 
+4.582 


6 

5 

— 5 


339 
316 

+282 


22.30 

23.46 

—24.37 

1 


2 

2 

— 3 


128 

104 

— 77 



100 
200 
300 


—1.200 
1.190 
1.171 
1.141 


+4.65 
5.20 
5.70 
6.15 


+1.077 
1.120 
1.153 
1.176 


—1.42 

2.10 

2.78 
3.43 














400 


1.103 


6.54 


L190 


4^05 
















1872 B. 


1880 B. 




* C 


J 0, Aug. 14 


.8. 












1 


*c 


i Mean Sun, Aug. 15 


.9. 







100 
200 
300 
400 


—1.117 
1.072 
1.018 
0.955 

—0.885 


+6.42 

6.78 

7.08 

7.32 

+7.50 


+1.186'— 3.85 
1.193 4.45 
1.191 5.02 
1.1781 5.54 

+1.154—6.02 



144 



SPECIAL TABLES. 







TABLE XXIV.- 


-/.i Lconis. 








h m 
R.A. 9 45.4. 




o / 

Dec. +26 37. 








Upper transit at fictitious meridian. 








A a 




*J 




Side- 
real 


A Q a 


A ^ 


A ^ a 


*n* 




Sidereal Day. 


MeanDay. 










Day. 




































1870. 


Vnr. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var.iu 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

s 





















100 


+0.502 

0.397 


—7.58 
7.41 


-0.901 
0.824 


+7.44 
7.55 


























s 






// 






200 


0.288 


7.17 


740 


7.60 




0,Jan. 


— 0.37 


+ 1.038 


— 3 


+305 


— 8.38 





— 80 


300 


0.176 


6.86 


0.650 


7.59 




10 


+ 9.00 


1.325 


3 


266 


9.02 


— 1 


48 


400 


0.063| 6.50 


0.555 


7.52 




20 


19.57 


1.567 


2 


219 


9.34 


2 


— 17 










30 


29.55 


1.761 


2 


168 


9.37 


2 


+ 12 




1S6C. 


1874. 




Feb. 9 


8.52 


1.901 


1 


111 


9.10 


2 


40 





+0.101 


-6.63 


—0.587 


+7.55 




19 

Mar. 1 
11 


18.49 

0.46 

10.44 


1.984 
2.015 
1.994 


— 1 





56 
+ 4 
— 43 


8.57 
7.85 
6.95 


3 
• 3 

3 


63 

82 
94 


1Q0 
200 

300 


—0.013 
0.127 
0.239 


6.23 
5.77 
5.26 


0.489 
0.367 
0.285 


7.43 
7.26 

7.02 




21 


20.41 


1.931 


+ i 


82 


5.98 


4 


100 


400 


0.350 


4.71 


0.175 


6.73 




31 


30.38 


1.833 


2 


114 


4.96 


4 


101 




1S67. 


1873. 




100, Apr. 10 


9.35 


1.706 


2 


137 


3.97 


3 


97 





—0.313'— 4.90 


—0.211 


+6.83 




20 


19.33 


1.562 


3 


149 


3.04 


3 


88 


100 


0.422 4.32 


— 0.103 


0.50 




30 


29.30 


1.411 


3 


152 


2.23 


3 


75 


200 


0.527' 3.70P+0 000 


0.12 




May 10 


9.27 


1.260 


3 


150 


1.55 


o 


60 


300 


0.627' 3.(i5 


0.115 


5 68 




20 


19.24 


1.114 


3 


140 


1.03 


. 2 


43 


400 


0.722; 2.37 


0.222 


5.20 




30 


29.22 


0.982 


3 


123 


0.68 


2 


26 




1808 B. 


1870 B. 




June 9 


8.1!) 


0.869 


3 


103 


0.52 


1 


+ 8 










19 


18.16 


0.777 


2 


80 


0.53 


1 


— 10 





—0.691 


—2.60 


+0.180 


+5.37 




29 


28.14 


0.710 


o 


54 


0.71 


1 


28 


100 


0.781 


1.91 


0.29: 


4.86 




July 9 


8.11 


0.669 


1 


— 28 


1.08 


— 1 


46 


200 


0.805 


1.20 


0.397 


4.31 


















300 


0.94 1 


-0.49 


0.498 


3.73 




200, 19 


18.08 


0.655 


1 





1.63 





62 


400 


1.0U9+0.23 


0.595 


3.11 




29 


28.05 


0.670 


+ 1 


+ 30 


2.31 





77 










Aug-. 8 


7.03 


0.715 





59 


3.16 


+ 1 


94 




I860. 


1877. 




18 

28 


17.00 
20.97 


0.788 
0.893 



— 1 


89 
121 


4.19 
5.36 


1 
1 


110 
124 



100 
200 


—0.987 
1.049 
1.101 


—0.01 

+0.71 

1.41 


+0.562 
656 

0.745 


+3.32 
2.08 
2 02 




Sept. 7 


5.94 


1.030 


2 


153 


6.67 


+ 1 


139 


300 


1.144 


2.11 


0.827 


1 . 35 




17 


15.92 


1.199 


o 


185 


8.13 





153 


400 


1.177 


2.78 


0.903 0.66 




27 


25.89 


1.401 


3 


218 


9.73 





166 










Oct. 7 


5.80 


1.636 


3 


251 


11.45 





175 




1870. 


1878. 




17 


15.84 


1.903 


4 


282 


13.22 





181 





























—1.167 


+2.50 +0.878+0 89 




300, 27 


25.81 


2.199 


4 


309 


15.07 





185 


100 


1.193 


3.21 


0.951 +0.20 




' Nov. 6 


478 


2.520 


5 


333 


16 92 





184 


200 


1.209 


3.84 


1.013—0.49 




16 


14.75 


2.863 


6 


351 


18.74 





178 


300 


1.214 


4.44 


1.068 1.19 




26 


24.73 


3.219 


6 


360 


20 47 


— 1 


166 


400 


1.20& 


4.99 


1.115 1.87 




Dec. G 


4.70 


3.579 


6 


358 


22.05 


1 


149 




1871. 


1879. 




16 

20 
30 


14.67 
24.64 
34.02 


3.932 

4.209 
+4.575 


5 

5 

— 5 


346 

323 

+290 


23.43 

24.55 
—25.40 


2 

3 

— 3 


126 
99 

— 70 



100 
200 


—1.211 
1.199 
1.177 


+4.81 
5 33 
5.81 


+1.100 
1.141' 
1.171 


—1.64 
2.32 
y.98 


















300 


1.145 


0.24 


1.193 


3.62 
















400 


1.104 


6.61 


1.204 


' 4.22 


















1S72 B. 


1880 B. 






* 


6 0, Aug. 1( 


5 6. 
















* 


3 Mean Sun, Aug. 1< 


".6. 







100 
200 
300 


—1.119 
1.071 
1.014 
0.949 


+6.49 
6.83 
7.11 

7.33, 


+ 1.201 
1.2(0 
1.201 
1.185 


—4.02 
4.01 
5.16 
5.66 




1 












400 


—0.876 +7. 48 


+ 1.159 


-6 12 





SPECIAL TABLES. 



145 



TABLE XXIV— "32 Ursae Majoris. 

h m ° ' 

R.A. 10 8.6. Dec. +05 45. 



Upper transit at fictitious meridian. 



Sidereal Day. Mean Day 



0, Jan. 

]0 

20 

30 

Feb. 9 

19 
Mar. 1 
11 
21 
31 

100, Apr. 10 

20 

30 

May 10 

20 

30 

June 9 

19 

29 

July 9 



200, 



19 

29 
Aug. 8 
18 

Sept. 7 
17 
27 

Oct. 7 
17 



300, 27 

Nov. 6 

16 

26 

Dec. G 

10 
26 

30 



0.3G 

+ 9 62 

19.59 

29.56 

8.54 

18.51 
0.48 
10.45 
20.43 
30.40 

9.37 
19.34 
29.32 

9.29 
19.26 

29.24 

8.21 
18.18 
28.15 

8.13 

18.10 
28.07 
7.04 
17.02 
20.99 

5.96 
15.91 
25.91 

5.88 
15.85 

25.83 

4.80 

14.77 

24.74 

4.72 

14.69 
24.66 
34.64 



1870. 



+1.943 

2.506 
2.991 
3.384 
3.674 

3.853 
3.919 

3.878 
3.738 
3.510 

3.211 

2.858 
2.408 
2.060 
1.651 

1.256 
0.889 
0.501 
281 
+0.058 

-0.104 
0.201 
0.228 
0.185 

-0.070 

+0.118 
380 
0.714 
1.119 
1.591 

2.125 

2.714 
3.340 

4.UU8 
4.684 

5.356 

6.002 

+6.6U4 



Var.in 
10 y. 



—13 
13 
12 
11 

10 

9 
7 
5 
3 
— 1 

+ 1 
2 
4 
5 


7 
7 
7 
7 




4 

+ 2 



— 2 

4 

6 

9 

11 

13 

16 

18 
20 
21 
23 

23 

24 

—24 



Diff. for 
10 d. 



+ 595 

527 
412 
343 
235 

123 
12 

93 

180 
200 

329 
375 
402 
411 
404 

383 
350 
305 
252 
194 



+ 



130 

62 

7 

79 

152 

225 
29S 
370 
439 
504 



V 



1870. 



Vur. in 
10 y. 



15.85 
14.90 
13.45 
11.57 
9.34 

6.85 

4.21 

— 1.54 

+ 1.04 

3.45 

5.57 
7.34 
8.68 
9.57 
9.97 

9.87 
9.29 
8.24 
6.76 

4.fc'8 

2.65 

f 0.13 

- 2.G5 

5.62 

8.73 

11.91 
15.11 

18.28 
21.32 

24.18 



563 
613 
650 
672 
677 

663 

(527 

+ 572 



26.81 
29.12 
31.05 
32.54 
33.55 

34.02 

33.95 

—33.33 



Diff. foi 
10 d. 



+ 



+ I 



— 1 

2 
3 



—7 



+ 69 
121 

168 

207 
238 

258 
207 
205 
251 

228 

196 

156 

112 

64 

+ 15 

— 34 

82 
127 
169 
206 

239 

266 

288 
305 
316 

320 
319 
311 
296 
276 

248 
213 
172 
126 
74 

— 20 
+ 35 
+ 89 



* 3 Mean Sun, Feb. 21.9. 
-*6 0, Aug. 22 9. 

* 6 Mean Sun, Aug. 23.5. 



Side- 
real 
Day. 




100 
200 
300 

400 




100 

200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
40( 



>Q a 



W 



1865. 



-0.058 
0.241 
0.421 

0.599 
0.771 



-7.15 
6.90 
6.60 
6.24 

5.82 



is<;<». 



-0.713 
0.882 
1.042 
1.193 
1.334 



—5.96 
5.51 

5.01 

4.40 

3.88 



1867. 

-1.288! 
1.421 
1.542 
1.649 
1.742 



-4.0rt 
3.4 
2.83 
2.17 
1.49 



1868 «. 



-1.712 
1.795 

1.802 
1.912 
1.940 



-1.72 

1.03 

—0.33 

+0 30 

1.00 




100 
200 

300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 



1869. 



—1.930 
1.958 
1.964 
1.953 
1.924 



+0.8:5 
1.51 
2.19 

2.84 
3.40 



1870. 



•1.93: 

1.890 
1.840 
1.708 
1.682 



+3.2( 
3.86 

4.43 
4M 
5.45 



1871. 

-1.7131+5.29 
1.617 5.7 
1.507 6.1 
1.386 6.50 
1.252| 6.80 

187i* B. 



—1.298 
1.158 

1.009 

0.851 

—0.687 



+6.70 
6.90 
7.16 
7.30 

+7.37 



W 



*Cl d 



187.J. 

-0.743+7.35 
0.5751 7.39 
0.403 7.36 

0.228i 7.28 
0.05 1! 7.13 



1874. 



0.111 

+o.oo(i 

0.242 
0.415 

0.585 



+7.19 
7.00 
6.76 
6.46 
0.10 



1875. 



+0.528 

0.094 
0.855 
1.008 
1.153 



+6 23 
5.84 
5.41 
4.93 
4.42 



1876 B. 



+1.105 
1.244 
1.373 
1.490 
1.595 



+4.59 
4.05 
3.48 

2.87 
2.24 



1877. 



+1.561 
1.657 
1.740 

1.809 



+2.40 
l.8t 
1.16 

+0.49 



1.8631—0.19 



1878. 
+1.846+0.04 



1.890 
1.918 
1.931 
1.92? 



—0.03 
1.30 
1.97 
2.01 



1879. 

+1.93.0-2.40 
1.9l5j 3.03 
1.885 3.04 
1.839 4.23 

1.7781 4.77 

18SOB. 



+1.800 
1 .728 
1.042 
1.541 

+1.427 



—4.59 
5.11 
5.59 
6.03 

—0.41 



10 



146 



SPECIAL TABLES. 







TABLE XXIV.- 


/Leonis. 






h m 
R.A. 10 12.8. 




* 

Dec. + 20 30. 


Upper transit at fictitious meridian. 






A Q a 


A <5 


Side- 
real 


A Q a 


A Q d 


A Cl a 


A Q rf 


Sidereal Day. 










Day. 










MeanDay. 


l 


















1870. 


Var.inDiff. for 
10 y. j 10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

8 " 








1 











! 100 


+0.514—7.06 
0.4I5| 6.80 


—0.883 
0.812 


+7.33 
7.35 






















s 






a 






1 200 


0.3121 6.48 


0.734 


7 31 


0,Jan. 


— 0.35 


+0.859 


-3 ' 


+311 


— 7.46 





—124 


! 300 


0.207 6.11 


0.651 


7.21 


10 


+ 9.62 


1.154 


3 


277 


8.56 





95 


1 400 


0.099J 5.6b 


0.56* 


7.05 


20 


19.59 


1.410 


3 


235 


9.36 





66 


j 






30 


29.56 


t.623 


2 


188 


9.87 


— 1 


36 


1 


1866. 


1874. 


Feb. 9 


8.54 


1.785 


1 


137 


10.07 


2 


— 4 





+0.136 


—5.83 


: 

—0.593 


+7.11 


19 


18.51 


1.896 


— 1 


84 


9.96 


2 


+ 22 
45 
64 


1 100 


+0.028 


5.37 


0.501 


6.9.1 


Mar. 1 
11 


0.48 
10.45 


1.954 
1.965 






+ 34 
— 12 


9.62 
9.16 


2 
3 


i 200 
I 300 


—0.081 
0.189 


4.86 
4.31 


0.405 
0.306 


6.66 
6.35 


21 


20.43 


1.932 





52 


8.36 


3 


76 


400 


0.295 


3.72 


0.203 


5.99 


31 


30.40 


1.864 


+ 1 


84 


7.56 


3 


84 




1867. 


1875. 


100, Apr. 10 


9.37 


1.766 


2 


109 


6.69 


3 


88 





—0.259 


3.92 


i-0.2391+6.11 


20 


19.35 


1.648 


2 


125 


5.82 


3 


85 


100 


0.364 


3.31 


j 0.137 


5.72 


30 


29.32 


1.519 


2 


132 


5.00 


3 


79 


200 


0.465 


2.67 


—0.034 


5.28 


May 10 


9.29 


1.386 


3 


133 


4.24 


2 


71 


i 300 


0.562 


2.00 


+0.070 


4.79 


20 


19.26 


1.253 


3 


129 


3.59 


2 


59 


| 400 


0.654 


1.32 


j 0.173 


4.27 


30 


29.24 


1.129 


3 


119 


3.C6 


2 


47 




1868 B. 


| 1876 II. 


June 9 


8.21 


1.017 


3 


105 


2.66 


2 


33 








19 


18.18 


0.921 


3 


87 


2.40 


2 


18 





—0.6241—1.55 


+0.138 


+4.45 


29 


28.15 


0.844 


2 


67 


2.29 


1 


+ 3 


100 


0.71* 


0.86 


0.241 


3.91 


July 9 


8.13 


0.788 


2 


45 


2.33 


1 


— 12 


i 200 
! 300 


0.794 
0.869 


—0.17 

+0.52 


0.341 
0.43h 


3.33 
2.72 


200, 19 


18.10 


0.755 


1 


— 22 


2.53 


— 1 


28 


j 400 


0.936 


1.21 


0.531 


2.09 


29 


28.07 


0.745 


+ I 


+ 3 


2.89 





44 








Aug. 8 


7.05 


0.761 





30 


3.41 





60 


i 
1 


I860. 


1877. 


1 18 


17.02 


0.801 





58 


4.09 





77 


i ° 


—0.915+0.98 


+0.500J+2.30 
0.590 1.65 


28 


26.99 


0.877 





87 


4.96 





95 


100 


0.976; 1.67 


















i 200 


J .030} 2.33 


0.677[ 1.00 


Sept. 7 


5.S6 


0.979 


— 1 


119 


6.00 





114 


! 300 


1.0741 2.97 


0.757+0.33 
0.8331-0.34 


17 


15.94 


1.115 


2 


152 


7.23 


+ 1 


131 


; 400 


1.1 08| 3.5<j 


27 


25.91 


1.282 


2 


185 


8.63 


1 


148 








Oct. 7 


5.88 


1.484 


3 


219 


10.19 


1 


164 




1870. 


1878. 


17 


15.85 


1.720 


4 


252 


11.89 


1 


178 



























—1.098 +3 39 +0.e i> 


—0.11 


300, 27 


25.83 


1.988 


4 


284 


13 73 


1 


188 


! 100 


1.126 


3.98 


1 879 


0.78 


Nov. 6 


4.80 


2.286 


5 


311 


15.64 


+ 1 


194 


1 200 


1.145 


4.54 


1 0.942 


1.45 


16 


14 77 


2.608 


5 


332 


17.59 





196 


1 300 


1.153 


5.00 


! 0.997 


2.10 


26 


24.74 


2.947 


5 


344 


19.54 





191 


j 400 


1.152 


5.53 


; 1.045 


2.75 


Dec. 6 


4.72 


3.294 


5 


349 


21.39 


— 1 


179 


! 

1 


1871. 


1879. 


16 
26 
36 


14.69 
24.66 
34.64 


3.641 

3.978 
+4.290 


5 

5 

— 5 


344 

326 
+298 


23.11 

24.64 

—25.92 


1 

2 

— 2 


163 

141 

—111 




; 100 

i 20( 

300 

40( 


—1.154 
1.146 
1.128 
1.I0J 

1.065 


+5.37 

5.8* 

6.54 

6.82 


+1.030'— 2.53 
: 1.072' 3.15 
1.105 3.76 
i 1.129 4.33 
| 1.143; 4.86 
























1872B. 


188© B. 




* 


6 0, Aug. 2^ 


1.0. 












* 


$ Mean Sun, Aug. 24 


1.6. 




C 


— 1.0781+G.74 


+ 1.130—4.69 












| 100 
! 200 
1 3C0 


1.0 j(ii 6 9r- 
0.9851 7.1( 
0.926 7.21; 


1.147 
1 . I4i> 

i 1.134 


5,20 
5.67 
6.09 


i 










400 


— 0.860:+7.35 


+1.113—6.46 

i 










. 
















■ 

! 
i 



SFECIAL TABLES. 



147 







TABLE XXIV.-* 9 Draconis (H.) 






h m 
R.A. 10 24.0. 


O 1 

Dec. + 76 23. 




Upper transit at fictitious meridian. 




Sidereal Day. 


Mean Day. 


A Q a 


A tf 


Side- 
real 
Day. 


A Q a 


A ^ 


A Q« 


^ 




























1870. 


Var. in 

10 y. 


Diff. for 

10 d. 


1870. 


Var. in 

10 y. 


Diff. for, 
10 d. | 




1865. 

s " 


1873. 

s " 


















1 




100 


—0.783—6.82 


—0.463! +7. 26 
—0.191 7.24 




















1.047 


6.53; 








8 






a 






200 


1.302 


6.181 


+0.078 


7.16 




0,Jan. 


— 0.34 


+3.040 


—31 


+088 


—17.33 


— 4 


+ 86 


300 


1.546 


5.78! 


0.345 


7.03 




10 


+ 9 63 


3.979 


32 


884 


16.18 


5 


142 


400 


1.777 5.331 


0.609 


6.^3 




20 


19.60 


4.799 


32 


750 


14.50 


6 


193 










30 


29.57 


5.471 


31 


592 


12.36 


7 


235 




1866. 


1871. 




Feb. 9 


8.55 


5.976 


30 


415 


9.83 


8 


268 





























—1.701 


— 5.49i 


+0.520+6.90 




19 


18.52 


6.298 


27 


228 


7.04 


8 


289 


100 


1.922 


5.00 


0.780 


6.67 




Mar. 1 
11 


0.49 
10.46 


6.432 
6.380 


24 

20 


+ 40 
—142 


4.10 
— 1.13 


9 
9 


298 
294 


200 
300 


2.126 
2.312 


4.47 
3.90! 


1.034 

1.278 


6.38 i 
6.04 j 




21 


20.44 


6.153 


16 


310 


+ 1.74 


8 


279 


400 


2.477 


3.30 


1.511 


5.66 ! 

i 




31 


30.41 


5.767 


11 


458 


4.41 


8 


253 




1867. 


1875. 




100, Apr. 10 


9.38 


5.246 


6 


580 


6.76 


7 


217 





—2.424 


—3.51 


+1.434 


+5.79 




20 


19.36 


4.617 


— 2 


674 


8.71 


7 


174 


100 


2.575 


2.89! 


1.659 


5.37 ; 




30 


29.33 


3.909 


+ 2 


737 


10.21 


5 


125 


200 


2.704 


2 24' 


1.869 


4.91 




May 10 


9.30 


3.152 


6 


771 


11.20 


4 


72 


300 


2.809 


1.57 


2.C65 


4.40 




20 


19.27 


2.377 


10 


776 


11.64 


2 


+ 17 


400 


2.889 


0.891 


2.243 


3.86 




30 


29.25 


1.610 


12 


749 


11.53 


— 1 


— 38 




1868 B. 


t876B. 




June 9 


8.22 


0.877 


14 


708 


10.88 





91 




I 






19 


18.19 


+0.201 


15 


641 


9.71 


+ 1 


142 





—2.8651—1.121 


+2.185+4.05 




29 


28.16 


—0.399 


16 


557 


8.06 


2 


188 


100 


2.928—0.44 


2.351 


3.49 




July 9 


8.14 


0.908 


15 


459 


5.96 


3 


230 


200 
300 


2.966 
2.978 


+0.25 
0.93 


2.498 
2.624 


2.90 
2.29 




200, 19 


18.11 


1.313 


14 


350 


3.48 


4 


267 


400 


2.964 


1.61 


2.728 


1.65 




29 


28.08 


1.605 


12 


232 


+ 0.65 


4 


297 










Aug. 8 


7.06 


1.775 


10 


—108 


— 2.44 


5 


320 




I860. 


1877. 




18 


17.03 


1.819 


6 


+ 20 


5.74 


5 


338 





—2.971 


+1.38 
2.04 


+2.695+1.87 
2.785 1.22 




28 


27.00 


1.734 


+ 2 


151 


9.18 


5 


349 


100 


2.939 




















200 


2.883 


2.69 


2.852+0.57 




Sept. 7 


5.97 


1.517 


— 2 


282 


1*2.70 


5 


353 


300 


2.802 


3.31 


2.8951—0.09 




17 


15.95 


1.170 


8 


413 


16.22 


5 


350 


400 


2.696 


3 90 


2.915 0.75 




27 


25.92 


0.692 


13 


541 


19.67 


4 


340 










Oct. 7 


5.89 


—0.089 


19 


664 


22.99 


4 


322 




1870. 


1S7S. 




17 


15.86 


+0.633 


25 


779 


26.09 


3 


297 





























—2.735 


+3.70 


+2.911 


—0.53 




300, 27 


25.84 


1.466 


30 


883 


28.91 


2 


265 


100 


2.614 


4.27 


2.915 


1.19 




Nov. 6 


4.81 


2.394 


36 


971 


31.36 


+ 1 


225 


200 


! 2.470 


4.80 


2.894 


1.84 




16 


14.78 


3.402 


42 


1040 


33.38 





179 


300 


2.306 


5.29 


2.849 


2.48 




26 


24.76 


4.467 


47 


1085 


34.91 


— 2 


127 


400 


2.123 


5.72 


2.781 


3.10 




Dec. 6 


4.73 


5.562 


51 


1101 


35.90 


3 


70 




1871. 


1870. 




16 

26 
36 


14.70 
24.67 
34.65 


6.658 
7.721 

+8.718 


55 

57 

—59 


1085 

1036 

+952 


36.30 
36.11 
35.32 


5 
6 

— 7 


-11 

+ 49 
+108 



100 
200 
300 


—2.187 

1.992 
1.780 
1 554 


+5.58 
5.99 
6.34 


+2.807|-2.89 
2.7231 3.49 
2.616 4.07 
2.487 4.60 












400 


1.315! 6.88 
1872 B. 


2^3371 5.11 

18SOB. 






* 8 Mean Sun, Feb. 25 8. 
















* 6 0, Aug. 27.1. 









-1.397 


+6.81 


+2.390 


—4.94 






>j< 6 Mean Sun, Aug. 27.4. 






100 


1.151 


7.01 


2.226 


5 42 r 












200 


0.696 


7.15 


2.043 


5.85 












300 


0.635 


7.21 


1.643 


6.24 












400 

1 


—0.369+7.26 


+1.626 


— 6.57 



148 



SPECIAL TABLES. 



I 




TABLE XXIV.- 


-p Leonis. 






E.A. 10 26.0. 




/ 

Dec. + 9 58. 


Upper transit at fictitious meridian 


Sidereal Day. 


VI (* fill Dry. 


A Q « 


A Q c5 


Side- 
real 
Day. 


A Q a A Q d 






1870. 


Var.in 

lOy. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

8 " 


1873. 

8 " 



















100 


+0.573 
0.483 


—6.77 
6.48 


—0.896 
0.835 


+7.24 
7.22 























B 






a 






200 


0.389 


6.12 


0.767 


7.14 


0, Jan. 


- 34 


+0.75S 


— 3 


+302 


— 4.67 


4- l 


—172 


300 


0.291 


5.72 


0.694 


6.99 


10 


+ 9.0:5 


1.045 


3 


272 


6.29 


+ 1 


151 


400 


0.191 


5.26 


0.614 


6.79 


20 


19.00 


1.299 


% 


231 


7.09 





127 








30 


29.57 


1.511 


2 


189 


8.83 





100 




1866. 


1871. 


Feb. 9 


8.55 


1.G7G 


1 


140 


9.69 





72 



























+0.225 


—5.42 


—0.642 


+6.87 


19 


18.52 


1.792 


— 1 


92 


10.27 


— 1 


45 


100 


0.123 


4.93 


0.559 


6.63 


Mar. 1 


0.49 


1.801 





40 


10.58 


1 


— 20 


200 


+0.020 


4.40 


0.472 


6.34 


11 


10 40 


1.885 





+ 2 
— 37 


10.66 


2 


•f 2 


300 


—0.082 


3.83 


381 


5.99 


21 


20.44 


1.866 





10.54 


2 


22 


400 


0.185 


3.22 


0.288 


5.60 


31 


30.41 


1.813 


+ 1 


C9 


10.23 


2 


37 




1867. 


1875. 


100, Apr. 10 


9 38 


1.731 


2 


93 


9.80 


2 


48 





—0.150 


-3.43 


—0.320 4-5.74 


20 


19.35 


1.030 


2 


108 


9.28 


2 


55 


100 


0.251 


2.80 


I 0.224 


5 32 


30 


29.33 


1.517 


2 


118 


8.70 


3 


60 


200 


0.350 


2.15 


1 0.127 


4.85 


May 10 


9.30 


1.390 


3 


121 


8.08 


3 


62 


300 


0.440 


1.49 


-0.029 


4.34 


20 


19.27 


1.27G 


3 


119 


7.47 


3 


61 


400 


0.538 


0.81 


+0.069 


3.80 


30 


29.25 


1.160 


3 


112 


6.87 


2 


59 


j 


1868 B. 


1S76 1$. 


June 9 


8.22 


1.053 


3 


101 


6.30 


2 


55 








19 


18.19 


900 


2 


86 


5.78 


2 


49 


° 


—0.508 


—1.04 


+0.036+3.99 


29 


98.16 


0.882 


2 


70 


5.31 


2 


42 


100 


0.590 


—0.36 


I 0.134 3.43 


July 9 


8.14 


0.820 


2 


52 


4.94 


1 


33 


200 
300 


0.680 
0.757 


+0.33 
1.01 


0.230 2.83 
0.325 2.22 


200, 19 


18.11 


0.779 


2 


31 


4.67 


1 


24 


400 


0.828 


1.08 


0.418i 1.58 


29 


28.08 


0.758 


1 


— 10 


4.47 


1 


+ 12 








Aug-. 8 


7..05 


0.700 + 1 


+ 15 


4.42 


— 1 


— 2 




1869. 


1877. 


~8 


17.03 

i*7.00 


0.788 
0.841 






40 
68 


4.51 
4.76 






17 

34 



100 


-0.805 
0.870 


+1.46 
2.12 


+0.387+1.79 
0.477 1 15 


Sept, 7 


5.97 


0.925 


— 1 


99 


5.19 





53 


200 
300 


0.928 

0.978 


2.76 
3.37 


0.563+0.50 
0.045— 0.16 


17 


15.95 


1 039 


1 


130 


5.83 





75 


400 


1.019 


3.96 


0.722| 0.82 


27 


25.92 


1.18G 


2 


164 


6.69 





97 








Oct. 7 


5.89 


1.3G8 


2 


198 


7.76 





120 




1870. 


1878. 


17 


15.8G 


T.583 


3 


232 


9.08 





142 



























— 1.006 


+3.77 


+0.697 


—0.60 


300, 27 


25.84 


1832 


3 


264 


10.58 





162 


100 


1.042 


4.33 


j 0.770 


125 


Nov. 6 


4.81 


2.110 


3 


292 


12.30 


+ 1 


180 


200 


1.068 


4.85 


I 0.830 


1.90 


16 


14.78 


2.414 


4 


315 


14.10 




191 


300 


J. 085 


5.33 


I 0.896 


2.53 


20 


24.75 


2 737 


4 


330 


16.10 


1 


198 


400 


1.093 


5.76 


' 0.949 


3.15 


Dec. C 


4.73 


3.071 


4 


330 


18.09 


+ 1 


200 




1871. 


187D. 


10 
26 
30 


14.70 
24. G7 
34.G4 


3.405 

3.730 
4-4. 03G 


4 

3 

— 3 


331 

'M7 

+293 


20.07 
21.90 

—23.70 




— 1 

— 1 


195 

183 

—165 



100 

200 


— 1.C91 

1.093 
1.085 


+5.62 

0.02 
0.30 


+0.932 

| 0.980 

1.019 


-2.94 
3.54 
4.11 


















300 


1.008 


666' 


4 05 












400 


1.042 


6.89 


1.073 


5.15 














1872 B. 


1880 B. 




* C 


5 ©, Aug. 2; 


'.6. 












* C 


5 Mean Sun, Aug. 27 


.9. 







—1.052+6.82 


+ 1.0661—4.98 












100 


1.0201 7.01- 1.083| 5.45 












200 


6.980] 7.15 


1.090 5.88 












300 


0.9321 7.23 


1.088| 6.26 


















400 


—0.876 


+7.24 


+ 1.077 


-6.58 



SPECIAL TABLES. 



141) 



1 


TABLE XXIV. 


-n Argus. 




b m 
R.A. 10 40.0. 




o / 

Dec. — 59 0. 




Upper transit at fictitious meridian. 






A Q a 




A Q d 


: Side- 
real 
Day. 


A Q C 


A ^(5 


A a a 


AryS 


Sidereal Day. 


Mean Day. 


















1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1S70. 


Vnr.in 

10 y. 


Diff for 
10 d. 




1805. 

8 " 


S878. 

H " j 




















100 


+1.256—0.44 


-1.150+7.13 


1 
















1.245 


0.10 


3.11)2 


7.05 






s 






// 






200 


1.223 


5.71 


1.217 


0.02 


0, Jan. 1 


— 0.34 


+ 1.347 


- 2 


+447 


+ 14.30 


+ 3 


—286 


300 


1.190 


5.2? 


1.23:5 


6.74 


10 


+ 9.64 


1.768 


— 1 


393 


11.25 


3 


322 


400 


1.140 


4.79 


1.238 


0.49 


20 


19.61 


• 2.130 





327 


7.89 


3 


349 








30 


29.58 


2.420 


+ 1 


253 


4.31 


3 


307 




18GG. 


1871. 


Fob. 9 


8.56 


2.634 


2 


175 


+ 0.59 


3 


375 





+ 1.102 


—4 9.. 


— 1.237 


+0.58 


19 


18.53 

0.50 
10.47 
20.45 


2.769 


3 


97 


— 3.15 


3 


373 


100 


1.112 


4.44 


1.230 


30 


Mar. 1 
11 
21 


£.828 
2.812 
2.730 


4 
5 

6 


+ 21 

— 50 

114 


6.83 

10.38 

13.09 


3 
3 
3 


303 
344 

318 


200 
300 

! 400 


1.052 
0.083 

0.900 


3.89 
3.30 
2.66 


J. 2'i 4 
1.202 
1.170 


5. 97 
5.59 

5.17 


31 


30.42 


2.587 


6 


171 


16.72 


3 


287 




1867. 


1875. 


100, Apr 10 


9.39 


2.391 


6 


219 


19.42 


2 


251 


1 


+0.9331—2.89 


—1.182+5.32 


SJO 


19.36 


2.153 


7 


256 


21.72 


1 


210 


100 


0.850 2.26 


1.144 


4,87 


30 


29.34 


1.882 


6 


284 


23.01 


+ 1 


105 


j 200 


0.760 1.0ii 


1.090 


4.37 


May 10 


9.31 


1.587 


6 


305 


25.02 





118 


300 


0.663 o.!); 


! 1.04U 


3.85 


20 


19.28 


1.274 


5 


317 


25.96 





09 


400 


0.560[ 0.26 


0.975 


3.29 


30 


29.26 


0.955 


5 


320 


26.39 


— 1 


— 18 


1 


1808 B. 


1870 B. 


June 9 


8.23 


0.637 


5 


315 


20.32 


1 


+ 32 








19 


18.20 


0.327 


4 


302 


25.70 


1 


81 





+0.59.") 


—0.40 


-0.998+3.48 


29 


28.17 


+0.035 


3 


282 


24.71 


2 


128 


10(1 


0.490 


+0.19 


0.927 2.90 


July 9 


8.15 


—0.234 


2 


254 


23.21 


3 


171 


1 200 


0.380 


0.86 


0.849, 2.30 
















300 


0.20,7 


1.52 


0.704 1 0*; 


i 200, 19 


18.12 


0.470 


+ 1 


216 


21.31 


4 


207 


, 400 


0.152 


2.17 


073 1.05 


! 29 


28.09 


0.664 





172 


19.08 


4 


240 








Aug. 8 


7 06 


0.812 





121 


16.53 


4 


204 


i 


18C3. 


1877. 


A 8 


17.04 


0.903 


— 1 


— 61 


13.82 


4 


279 





+0.191!+]. 96 


— 0.705 -4-1. 20 


28 


27.01 


0.932 


2 


+ 4 


10.98 


4 


285 


1 100 
200 


+0.075 
—0.042 


2.00 
3.21 


0.610 

0.500 


+0.01 
-0.03 


Sept. 7 


5.98 


0.893 


2 


74 


8.16 


4 


279 


300 


0.107 


3.80 


0.404 


0.68 


17 


15.95 


0.782 


3 


147 


5.44 


4 


263 


400 


0.271 


4.34 


0.§96 


1.32 


27 


25.93 


0.598 


3 


222 


2.93 


4 


236 








Oct. 7 


5.90 


0.339 


4 


294 


— 0.75 


4 


199 




1870. 


1878. 


17 


15.87 


—0.012 


4 


361 


+ 1.02 


3 


153 





—0.233+4.10 


-0.333—1.11 


300, 27 


25.85 


+0.380 


4 


420 


2.28 


2 


98 


100 


0.340 


4.08 


0.222 


1.75 


Nov. 6 


4.82 


0.825 


3 


468 


2.97 


2 


+ 38 


200 


0.455 


5.10 


—0.1 JO 


2.37 


16 


14.79 


1.312 


3 


503 


3.04 


— 1 


— 24 


3,00 


0.560 


r>.oo 


+0.004 


2 98 


26 


24.76 


1.827 


3 


523 


2.49 





86 


400 


0.060 


5.98 


0.118 


3.56 


Dec. 6 


4.74 


2.353 


3 


525 


+ 1.32 





148 




1871. 


1870. 


16 
26 
36 


14.71 

24.68 
34.65 


2.872 

3.367 

+3.821 


2 
— 1 




510 

477 
+429 


— 0.46 

2.78 

— 5.57 


+ 1 

1 

+ 2 


206 

257 

— 2i?9 


! o 

100 
' 200 


—0.627 
0.723 
0.812 


+5. 80 
6.21 
0.5! 


+0.079—3.37 
0.193, 3 9:5 
0.305! 4.47 
















300 


0.895 


6.75 


0.415' 4.97 










\ 400 


0.970 


6.94 


0.522! 5.43 












1872 B. 


1880 B. 


1 


* 6 Mean Sun, Aug. 3 


1.5. 




i 






j 1 ' 


* 6 0, Aug. 3 


1.5. 






: ioo 

' 200 

3,00 


— 0.945+0. 8> 
1.015 7.03 
1.075 7.11 
1.127) 7.14 


+0.480;- 5.28 
0.591 5.71 
0.690 0:00 
0.783 0.42 1 










, 400 


—1.1 09J +7. 11 


+0.871 1—0.70 [ 



150 



SPECIAL TABLES. 









TABLE XXIV. 


—I Leonis. 








h m 
R.A. 10 42.4. 




o / 
Dec. + 11 14. 




Upper transit at fictitious meridian. 










A G a 




A <5 


Side- 
real 


A Q a 


A Q<> 


A Q a 


A ^ 




Sidereal Day. 


Mean Day. 










Day. 












1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

8 





















100 


+0.558 
0.468 


—6.38 
6.04 


—0.886 
0.824 


+7.10 
7.02 


























s 






// 






200 


0.374 


5.64 


0.756 


6.88 




0,Jan. 


— 0.33 


+0.673 


— 3 


+312 


— 5.16 


+ 1 


-174 


300 


0.275 


5.20 


0.681 


6.69 




10 


+ A 64 


0.973 


3 


285 


6.79 


1 


152 


400 


0.175 


4.71 


0.601 


6.44 




20 


19.61 


1.240 


2 


247 


8.18 


+ 1 


126 










30 


29.58 


1.466 


2 


204 


930 





98 




1866. 


1874. 




Feb. 9 


8.56 


1X47 


2 


158 


10.14 





69 





























+0.209 


—4.88 


— 0.629;+6.53 




19 


18.53 


1.781 


1 


109 


10.68 


— 1 


39 


100 


0.107 


4.36 


0.545 


6.24 




Mar. 1 


0.50 


1.866 


— 1 


62 


10.93 


1 


— 12 


200 


+0.004 


3.80 


0.458 


5.90 




11 


10.47 


1.906 





+ 18 


10.94 


1 


+ 10 
30 


300 


—0.098 


3.21 


0.366 


5.52 




21 


20.45 


1.904 


+ 1 


— 22 


10.74 


1 


400 


0.201 


2.59 


0.272 


5.09 




31 


30.42 


1.865 


1 


54 


10.35 


2 


45 




1867. 


1875. 




LOO, Apr. 10 


9.39 


1.798 


1 


81 


9.85 


2 


56 





-0.1661—2.80 


— 0.304+5.24 




20 


19.37 


1.706 


2 


100 


9.24 


2 


65 


100 


0.267 2.16 


0.209 


4.78 




30 


29.34 


1.600 


2 


110 


8.57 


2 


68 


200 


0.366 1.51 


0.111 


4.29 




May 10 


9.31 


1.488 


2 


116 


7.89 


2 


67 


300 


0.461 0.84 


—0.013 


3.76 




* 20 


19.28 


1.370 


2 


117 


7.23 


2 


65 


400 


0.552| 0.17 


+0.085 


3.20 




30 


29.26 


1.255 


2 


112 


6.59 


2 


62 




1868 B. 


1876 B. 




June 9 


8.23 


1.147 


3 


104 


6.00 


2 


56 










19 


18.20 


1.048 


3 


93 


5.48 


2 


48 





—0.522 


—0.39 


+0.052|+3.39 




29 


28.18 


0.962 


3 


78 


5.05 


2 


39 


100 


0.610 


+0.28 


0.149 2.81 




July 9 


8.15 


0.892 


2 


61 


4.70 


2 


30 


200 


0.692 


0.95 


0.246 


2.21 


















300 


0.769 


1.61 


0.341 


1.59 




200, 19 


18.12 


0.840 


2 


43 


4.46 


2 


18 


400 


0.838 


2.26 


0.4321 0.95 




29 


28.09 


0.806 


1 


— 24 


4.34 


1 


+ 6 










Aug. 8 


7.07 


0.793 


+ 1 





4.35 


1 


— 9 




I860. 


1877. 




18 
28 


17.04 

27.01 


0.806 
0.844 






+ 25 
52 


4.52 

4.8T 


1 

— 1 


26 
44 


c 

10C 
200 


—0.815 
0.880 
0.937 


+2.04 
2.68 
3.28 


+0.402 
0.491 
0.577 


+1.16 
+0.52 
—0.13 




Sept. 7 


5.98 


0.911 


— 1 


82 


5.40 





63 


300 


•0.985 


3.86 


0.658 


0.78 




17 

27 


15.96 
25.93 


1.008 
1.139 


1 

I 


114 

149 


6.14 

7.09 






84 
106 


400 


1.025 


4.40 


0.734 


1.42 




Oct. 7 


5.90 


1.307 


2 


185 


8.27 


+ 1 


129 




1870. 


1S78. 




17 


15.87 


1.509 


2 


220 


9.67 


1 


150 





























—1.013 


+4.22 


.+0.709 


—1.20 




300, 27 


25.85 


1.746 


3 


254 


11.26 


1 


170 


100 


1.047 


4.74 


0.781 


1.84 




Nov. 6 


4.82 


2.016 


3 


285 


13.05 


1 


186 


200 


1.071 


5.21 


1 0.846 


2.46 




16 


14.79 


2.313 


4 


310 


14.96 


1 


197 


300 


1.087 


5.64 


0.905 


3.06 




26 


24.77 


2.633 


4 


328 


16.98 


+ 1 


204 


400 


1.0J3 


6.02 


0.956 


3.64 




Dec. 6 


4.74 


2.966 


4 


337 


19.02 





203 




1871. 


1879. 




16 

26 
36 


14.71 

24.68 
34.66 


3.303 

3.634 

+3.948 


4 

4 

— 4 


336 

324 

+303 


21.03 

22.95 

—24.71 







197 

185 

—166 



100 
200 


—1.092 
1.092 

1.083 


+5.90 
6.24 
6.53 


+0.940 

0.986 

i 1.024 


—3.44 
4.00 
4.53 
















300 


1.065 
1.037 


6.77 
6.94 


.. 1.054 5.02 
j 1.075| 5.48 
















400 














! 




1872 B. 


1880 B. 






* 


6 0, 


Sept. 1 


.9. 














* 


6 Mean 5 


iun, Sept. 1 


1. 





100 
200 
300 


—1.047 
1.014 
0.973 
0.922 


+6.89 
7.03 
7.11 

7.12] 


+1.069 

1.084 
1.090 
1.087 


—5.33 
5.75 
6.12 
6.45 




1 












400 


—0.866+7.08! 

• 1 


+1.074-6.71 








SPECIAL TABLES. 



151 









TABLE XXIV.- 


-6 Leonis. 






h m 
E.A. 11 7.2. 




o / 

Dec. + 21 J 4. 


Upper transit at fictitious meridian. 








& Q a 




A <> 


Side- 
real 
Day. 


A Pc C 


A Q* 


A Q a 


, A oQ<> 


Sidereal Day. 


Mean Day. 










































1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s 


1873. 

s 



















100 


+0.470 
0.372 


—5.73 
5.32 


—0.839 
0.767 


+6.82 
6.65 






















s 






// 






200 


0.271 


4.87 


0.689 


6.43 


0,Jan. 


— 0.32 


+0.560 


— 3 


+336 


— 8.39 





—153 


300 


0.168 


4.37 


0.606 


6.16 


10 


+ 9.66 


0.885 


3 


311 


9.77 





123 


400 


0.063 


3.83 


0.518 


5.84 


20 


19.63 


1.180 


3 


278 


10.83 





89 








30 


29.60 


1.439 


2 


237 


11.54 


— 1 


56 




1866. 


1874. 


Feb. 9 


8.57 


1.652 


2 


191 


11.89 


1 


— 17 



























+0.098 


—4.01 


—0.548 


+5.95 


19 


18.55 


1.819 


2 


142 


11.89 


2 


+ 16 
45 


100 


—0.007 


3.45 


0.458 


5.60 


Mar. 1 


0.52 


1.935 




91 


11.58 


2 


20D 


0.112 


2.86 


0.383 


5.20 


11 


10.49 


2.001 


__ i 


43 


11.00 


2 


70 


300 


0.217 


2.24 


0.266 


4.76 


21 


20.47 


2.023 





+ 2 


10.20 


2 


88 


400 


0.320 


1.61 


0.167 


4.28 


31 


30.44 


2.006 


+ 1 


— 35 


9.26 


3 


100 




1867. 


1875. 


100, Apr. 10 


9.41 


1.955 




66 


8.22 


3 


107 





—0.285 


—1.82 


—0.201 4-4.44 


20 


19.38 


1.876 




90 


7.13 


3 


109 


100 


0.386 


1.18 


— 0.10) 


3.94 


30 


29.36 


1.778 


2 


107 


6.06 


3 


105 


200 


0.484 


—0.52 


0.000 


3.40 I 


May 10 


9.33 


1.664 


2 


118 


5.04 


3 


97 


300 


0.577 


+0.14 


+0.101 


2.84 ! 


20 


19.30 


1.544 


2 


121 


4.13 


3 


85 


40t) 


0.665 


0.80 


0.201 


2.25 


30 


29.27 


1.424 


3 


120 


3.36 


3 


71 




1868 B. 


1876 B. 


June 9 


8.25 


1.315 


3 


116 


2.72 


2 


54 








19 


18.22 


1.194 


3 


107 


2.27 


2 


36 





—0.636 


+0.5S 


+0.167 


+2.45 


29 


28.19 


1.092 


3 


96 


2.00 


1 


+ 17 


100 


0.720 


1.23 


0.266 


1.86 


July 9 


8.16 


1.003 


2 


82 


1.93 


— 1 


— 3 


200 


0.797 


1.87 


0.363 


1.24 


















300 


0.868 


2.50 


0.456+0.62 


200, 19 


18.14 


0.929 


2 


65 


2.05 





22 


400 


0.931 


3.10 


0.546|—0.01 


29 


28.11 


0.872 


1 


46 


2.36 





42 








Aug. 8 


7.08 


0.837 


+ 1 


— 24 


2.88 





63 




1869. 


1877. 


18 


17.06 


0.825 





+ 1 


3.62 


+ 1 


83 





—0.911 4-2.90 


+0.516 
0.603 


40.19 
—0.44 


28 


27.03 


0.839 





29 


4.54 


1 


104 


100 


0.968 


3.49 


















200 


1.017 


4.04 


0.685 


1.07 


Sept. 7 


6.00 


0.883 


— 1 


59 


5.69 


1 


125 


300 


1.057 


4.55 


0.762 


1.69 


17 


15.97 


0.958 


1 


92 


7.05 


1 


146 


400 


1.088 


5.03 


0.833 


2.30 


27 


25.95 


1.068 


2 


128 


8.61 


1 


166 








Oct. 7 


5.92 


1.215 


2 


167 


10.37 


1 


184 




187©. 


187S. 


17 


15.89 


1.403 


3 


206 


12.29 


1 


200 



























—1.079 


+4.87 


+0.810 


—2.10 


300, 27 


25.86 


1.627 


3 


244 


14.37 


1 


213 


! ioo 


1.103 


5.32 


0.876 


2.69 


Nov. 6 


4.84 


1.890 


4 


279 


16.55 


1 


221 


; 200 


1.118 


5.71 


0.935 


3.27 


16 


14.81 


2.184 


4 


309 


18.78 


1 


224 


300 


1.124] 6.06 


0.987 


3.82 


26 


24.78 


2.506 


5 


333 


21.01 


2 


221 


400 


1.1 19| 6.36 


1.030| 4.34 


Dec. 6 


4.76 


2.848 


5 


348 


23.17 


2 


211 


i 


1871. 


1879. 


16 
26 
36 


14.73 

24.70 
34.67 


3.199 
3.549 

+3.887 


5 

5 

— 5 


352 

346 

+328 


25.20 
27.03 

-28.59 


1 

+ 1 



194 

171 

—143 



! 100 

; 200 


—1.122 
1.111 

1.091 


+6.26 
6.52 
6.72 


+1.016—4.17 
1.054 4 67 
1.083 5.13 


















i 300 


1.062 


6.87 


1.104 5.54 














400 


1.024 


6.96 


].115| 5l92 
















187311. 


1§§0B. 




* 


6 0, 


Sept. 


3.0. 












* 


c5 Mean 


Sun, Sept. 


7.4. 







—1.038+6.93 


+1.112;- 5.80 














100 


0.994 


6.98 


1.117 6.14 














200 


0.942 


6.97 


1.112 


6.43 














! 300 


0.882 


6.90 


1.098 


6.66 














400 


—0.815 


+6.77 


+ 1.075 


—6.84 



152 



SPECIAL TABLES. 









TABLE XXIV.- 


6 Crateris. 








h m 
R.A. 11 12.8. 






Dec. — 14 


5. 


Upper transit at fictitious mendian. 








^Q a 




V 


Side- 
real 
Day. 


A a<* 


A ^ 


A oQ° 


^ 


Sidereal Day. 


MeanDay 










































1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1876. 


Var. in 
10 y. 


Diff. for 
10 d. i 




1865. j 
s " 


1873. 

s " 
















! 



100 


+0.742 
0.669 


— 5.0/ 
5.15' 


—0.969+6.74 
0.930! 6.56 
















1 






s 






// 






200 


0.591 


4.68! 


0.8S3 1 6.32 


0,Jan. 


— 0.31 


+0.527 


— 3 


+320 


f 3.05 


+ 2 


—239 ! 


300 


0.508 


4.17i 


0.830 6.03 


10 


+ 9.66 


0.835 


2 


294 


+ 0.64 


2 


241 J 


400 


0.420 


3.62 ; 


0.770| 5.69 


20 


19.63 


1.113 


2 


262 


— 1.76 


2 


237 I 








30 


29.61 


1.357 


1 


223 


4.09 


3 


227 1 




1866. 


1874. 


Feb. 9 


8.58 


1.557 


1 


178 


6.29 


3 


212 | 





+0.449 


—3.81 


—0.791 


+5.81 


19 


18.55 


1.712 


— 1 


J 32 


8.31 


2 


192 i 


100 


0.359 


3.24 


0.726 


5.44 


Mar. 1 


0.52 


1.822 





88 


10.12 


1 


170 i 


200 


0.265 


2.64 


0.656 


5.03 


ill 
21 


10.50 
20.47 


1.888 
1.912 



+ 1 


'45 
+ & 


11.70 
13.02 


+ 1 




145 ! 

119 i 


300 
400 


0.169 
0.072 


2.02 
1.38 


0.581 
0.500 


4.58 
4.08 


31 


30.44 


1.900 


1 


— 29 


14.08 





94 | 

i 




1867. 


1875. 


100, Apr. 10 


9.41 


1.857 


2 


56 


14.90 


— 1 


69 





+0.105— 1.60 ! 


-0.528 


+4.25 


20 


19.39 


1.790 


2 


77 


15.47 


1 


45 i 


100 


+0.006 


0.95 


0.445 


3.74 


30 


29.36 


1.704 


3 


94 


15.80 


1 


— 22 ! 


200 


—0.092 


—0.29: 


0.358 


3.20 


May 10 


9.33 


1604 


3 


104 


15.91 


2 


o i 


300 


0.189 


+0.36 


0.269 


2.63 


20 


19.31 


1.497 


3 


110 


15.81 


2 


+ 21 | 


400 


0.285 


1.02 


0.177 


2.04 


30 


29.28 


1.385 


3 


113 


15.50 


2 


40 i 




1868 B. 


1876 B. 


June 9 


8.25 


1.273 


3 


111 


15.01 


2 


57 i 








19 


18.22 


1.165 


3 


106 


14.36 


2 


73 ; 





—0.253 


+0.80 


— 0.2C8 +2.24 


29 


28.20 


1.063 


3 


99 


13.55 


2 


88 1 


100 


0.346 


1.45 


0.116 


1 64 


July 9 


8.17 


0.969 


3 


88 


12.61 


2 


99 I 


200 
300 


0.437 

0.524 


2.08 
2.70 


—0.022 

+0.072 


1.02 
+0.39 


200, 19 


18.14 


0.888 


2 


74 


11.58 


2 


108 1 


400 


0.606 


3.29 


0.165 


—0.24 


29 


28.11 


822 


2 


58 


10.47 


2 


112 i 








Aug. 8 


7.09 


0.774 


2 


38 


9.35 


2 


113 ! 




1869. 


1877. 


18 


17.06 


0.748 


1 


— 15 


8.23 


2 


109 1 





—0.579 


+3.10 


+0.133!— 0.03 


28 


27.03 


0.746 


+ 1 


+ 13 


7.19 


2 


99 \ 


100 


0.657 


3.67 


0.226 0.66 
















1 


200 


0.730 


4.20 


0.317 


1.28 


Sept. 7 


6.00 


0.776 





45 


6.27 


2 


84 ! 


300 


0.796 


4.70 


0.405 


1.90 


17 


15.98 


0.838 





79 


5.52 


1 


64 ! 


400 


0.855 


5.16 


0.490 


2.50 


27 


25.95 


0.935 


— 1 


117 


5.01 


1 


39 ! 








Oct. 7 


5.92 


1.073 


1 


157 


4.76 


1 


+ 8 i 




1870. 


1878. 


17 


15.90 


1.250 


1 


196 


4.87 


— 1 


— 27 ; 



























—0.836 


+5.01 


+0.462 


—2.30 


300, 27 


25.87 


1.465 


2 


235 


5.31 





61 ! 


100 


0.890 


5.44 1 0.545 


2.88 


Nov. 6 


4.84 


1.719 


2 


271 


6.10 





98 i 


200 


0.936 


5.82 ; 0.623 


3.45 


16 


14.81 


2.005 


3 


300 


7.27 





135 j 


300 


0.974 


6.15 


0.697 


3.99 


26 


24.79 


2.317 


3 


322 


8.79 





167 1 


400 


1.004 


6.42 


0.764 


4.49 


Dec. 6 


4.76 


2.647 


2 


335 


10.60 


+ 1 


194 1 




1871. 


1879. 


16 
26 
36 


14.73 

24.70 
34.68 


2.984 

3 319 

+3.641 


2 

2 

— 2 


338 

330 

+312 


12.65 

14.90 

—17.27 


1 
1 

+ 2 


216 ! 
232 : 

—240 , 



100 
200 


—0.995 
1.019 
1.034 


+6.34 
6.57 
6.76 


+0.742 

0.806 
' 863 


—4.33 

4.81 
5.25 
















300 
400 


1.041 

1.038 


6.88 

6.95 

i 


0.913 
0.956 


5.65 
6.0i 












! 












i 




1872B. 


1S80 B. 




* 


5 O, 


Sept. 9 


6. 


i 




I 






* ( 


3 Mean £ 


un, Sept. 8 


8. 


i 

| 

! 



100 
200 
300 


—1.040 
1.032 
1.015 
0.990 


+6.94 
6.96 
6.93 

6.84 


+0.9431—5.89 
0.980 6.22 
1.009 6.49 
1.030 6.70- 












i 

1 


400 


—0.956+6.69 


+1.042—6.86 
1 



J : 



SPECIAL TABLES. 



153 









TABLE XXIV.- 


-r Leonis. 






h m 

R.A. 11 21.3. 




O 1 

Dec. + 3 34. 


Upper transit at fictitious meridian. 








A G a 




A Q d 


Side- 
1 real A Q« 


A Q 6 


A Q a 


A ^ 


Sidereal Day. 


Mean Day. 










Day. 










1870. 


Var. in 

10 y. 


Diff. foi 
10 d. 


iS70. 


Var. in 
10 y. 


Diff. for 
10 d. 


i 


1865. 

8 " 


1873. 

8 " 


















i 
100 


+0.606 
0.521 


—5.33 

4.89 


—0.902]+6.62 
0.8471 6.41 






















8 






N 






1 200 


0.432 


4.40 


! 0.785 


6.15 


0, Jan. 


— 0.31 


+0.455 


— 3 


+322 


— 2.81 


+ 2 


—205 


; 300 


0.339 


3.87 


0.717 


5.83 


10 


+ 9.67 


0.767 


3 


300 


4.79 


2 


191 


i 400 


0.243 


3.31 


0.644 


5.47 


20 


19.64 


1.052 


2 


269 


662 


2 


172 


r 






30 


29.61 


1.303 


2 


232 


8.21 


1 


147 


i 


I860. 


1874. 


Feb. 9 


8.58 


1.515 


1 


189 


9.55 


+ 1 


121 


i 




















o 


+0.276 


—3.50 


—0.669 


+5.60 


19 


18.56 


1.681 


1 


143 


10.62 





93 


j 100 


0.178 


2.92 


0.592 


5.21 


Mar. 1 


053 


1.802 


1 


99 


11.40 





65 


| 200 


+0.079 


2.31 


0.510 


4.77 


11 


10.50 


1.880 


— 1 


57 


11.92 


— 1 


39 


; 300 


—0.021 


1.68 


0.424 


4.30 


21 


20.47 


1.917 





+ 18 


12.19 


1 


- 15 


j 400 


0.121 


1.04 


0.335 


3.79 


31 


30.45 


1.917 


+ 1 


— 17 


12.23 


1 


+ 6 


i 


1867. 


1875. 


LOO, Apr. 10 


9.42 


1.884 


i 


45 


12.08 


1 


24 


i ° 


—0.0871— 1.26 


—0.366 


+3.97 


20 


19.39 


1.828 


2 


68 


11.77 


1 


37 


i 100 


0.186—0.61 


0.274 


3.44 


30 


29.37 


1.750 


2 


85 


11.35 


2 


48 


' 200 


0.284+0.04 


0.181 


2.88 


May 10 


9.34 


1.659 


2 


95 


10.82 


2 


56 


! 300 


0.3791 0.70 


—0.087 


2.31 


20 


19.31 


1.561 


2 


102 


10.24 


2 


60 


I 400 


0.470| 1.34 


+0.009 


1.71 


30 


29.28 


1.456 


3 


105 


9.62 


2 


64 


i 


1868 B. 


1876 B. 


June 9 


8.26 


1.353 


3 


102 


8.97 


2 


64 


1 






19 


18.23 


1.253 


3 


98 


8.34 


2 


62 


i ° 


—0.440 


+1.13 


—0.023+1.91 


i 29 


28 20 


1.158 


3 


92 


7.72 


1 


60 


100 


0.529 


1.77 


+0.0721 1.30 


July 9 


8.17 


1.071 


3 


81 


7.15 


1 


55 


! 200 
1 300 


0.613 
0.691 


2.39 
2.99 


0.1671 0.69 
0.260+0.06 


j 200, 19 


18.15 


0.996 


2 


68 


6.63 


1 


48 


; 400 


0.764 


3.56 


0.352—0.56 


29 


28.12 


935 


2 


53 


6.19 


1 


40 








Aug. 8 


7.09 


0.890 


1 


35 


5.84 


1 


30 




1869. 


1877. 


18 


17.07 


0.865 


+ 1 


— 13 


5.61 


— 1 


+ 16 





-0.740 


+3.38 


+0.321 


—0.36 


28 


27.04 


0.865 





+ 12 


5.54 





— 2 


! 100 

; 200 


0.808 
0.869 


3.93 
4 45 


0.410 
0.497 


0.98 
1.60 


Sept. 7 


6 01 


0.891 





41 


5 66 





22 


j 300 


0.92 i 


4.92 


0.579 


2.20 


17 


15.98 


0.948 





73 


5.98 





42 


! 400 


0.967 


5.36 


0.657i 


2.79 


27 


25.96 


1.038 


— 1 


10.8 


6.51 





66 


1 






Oct. 7 


5.93 


1.165 


2 


146 


7.30 


+ 1 


92 




isro. 


1878. 


17 


15.90 


1 331 


2 


185 


8.35 


1 


118 


I 

1 

























—0.953 


+5.21 


+0.631 


—2.59 


300, 27 


25.87 


1.535 


3 


223 


9.66 


1 


143 


! 100 


0.992 


5.62 


0.706 


3.17 


Nov. 6 


4.85 


1.776 


3 


258 


11.21 


1 


166 


! 200 


1.023 


5.97 


0.774 


3.71 


16 


14.82 


2.050 


3 


289 


12.98 


2 


187 


I 300 


1.045 


6.27 


0.837 


4.23 


26 


24 79 


2.352 


3 


313 


1494 


2 


202 


400 


1.058 


6.51 


0.893 


4.72 


Dec. 6 


4.77 


2.674 


3 


329 


17.01 


2 


212 




1871. 


1879. 


16 
26 
36 


14.74 
24.71 

34.68 


3.007 

3.340 

+3.663 


3 

3 

— 3 


335 

330 

+314 


19.15 

21.28 

—23.34 


2 

1 
+ 1 


215 

210 

—200 



100 

200 


—1.054+6.44 
1.06l| 6.65 

1.059' 6.80 


+0.8741—4.56 
0.9251 5.02 
0.9691 5.44 












.. 


300 


1.048 6.89 


1.004 5.81 


1 










| 


400 


1.028] 6.92 
1872 B. 


1.031 6.14 
1880B. 




* 


5 0, 


Sept. 1 


19. 












* 


5 Mean £ 


km, Sept. 1 


1.0. 




o 


— J. 0361+6. 92 

1.010 6.92 


+1.023J— 6.03 












i 


100 


1.0441 6.33 












! 
i 


200 


0.976 6.85 


1.057 6.57 


1 ■ 












300 


0.934 6.73 1 1.060! 6.75 


, 












400 


— 0.884j+6.56j +1.055-- 6.88 



154 






SPECIAL TABLES. 
















TABLE XXIV.-* A Draconis. 






h m ° ' 
R.A. 11 23.7. I}ec. +70 3. 




• 
Upper transit at fictitious meridian. 








A Q a 


A Q d 


Side- 
real 
Day. 


A Q a 


A ^ 


A Q« 


*Q d 




Sidereal Day. 


MeanDay. 










































1870. 


Var.in 
10 y. 


Diff. foi 
10 d. 


1870. 


Var.in 
10 y. 


Diff. for 

10 d. 




1865. 

8 " 


1873. 





















100 


—0.603 

0.789 


—5.26 
4.81 


! — 0.279 +6.59 




















—0.088 


6.37 








s 






// 






200 


0.967 


4.32 


+0.102 


6.10 




0,Jan. 


— 0.30 


+1.162 


—14 


+758 


—18.94 


— 1 


— 15 


300 


1.138 


3.79 


; 0.291 


5.77 




10 


+ 9.67 


1.901 


15 


715 


18.78 


2 


+ 48 


400 


1.299 


3.22 


j 0.477 


5.40 




20 


19.64 


2.584 


16 


647 


18.00 


3 


107 










30 


29.61 


3.188 


16 


558 


16.65 


4 


161 




1866. 


1874. 




Feb. 9 


8.59 


3.695 


16 


452 


14.80 


4 


208 





























—1.246 


—3.42 


'+0.415 


+5.53 




19 


18.56 


4.088 


15 


333 


12.52 


5 


246 


100 


1.400 


2.83 


! 0.598 


5.14 




Mar. 1 


0.53 


4.358 


14 


207 


9.92 


5 


273 


200 


1.541 


2.22 


0.777 


4.70 




11 


10.51 


4.501 


12 


+ 79 


7.11 


6 


288 


300 


1.669 


1.59 


; 0.948 


4.22 




21 


20.48 


4.518 


11 


— 43 


4.21 


6 


291 


400 


1.783 


0.95 


1.111 


3.71 




31 


30.45 


4.417 


9 


157 


— 1.33 


6 


282 




1867. 


S 1875. 




100, Apr. 10 


9.42 


4.208 


7 


258 


+ 1.39 


5 


262 





—1.746 


—1.17 


+1.057 4-3.88 




20 


19.40 


3.906 


4 


343 


3.87 


5 


232 


100 


1.84P 


—0.52 


\ 1.214 


3.35 




30 


29.37 


3.528 


— 2 


419 


6.01 


4 


194 


! 200 


1.936 


+0 14 


1.361 


2.79 




May 10 


9.34 


3.092 





459 


7.73 


4 


150 


| 300 


2.006 


0.79 


1.496 


2.21 




20 


19.32 


2.616 


+ 2 


489 


9.00 


3 


102 


i 400 


2.059 


1.44 


1.619 


1.61 




30 


29.29 


2.119 


4 


502 


9.76 


2 


+ 50 




1868 B. 


1876 B. 




June 9 


8.26 


1.617 


5 


499 


9.99 


— 1 


— 3 










19 


18.23 


1.126 


6 


480 


9.70 





55 





—2.043+1.22 


+1.579 


+1.81 




29 


28.20 


0.661 


7 


449 


8.90 


+ * 


106 


100 


2.085 


1.86 


j 1.694 


1.21 




July 9 


8.18 


+0.233 


8 


406 


7.60 


1 


154 


200 
300 


2.107 
2.111 


2.48 
3.07 


1 1.794 

1 1.880 


+0.59 
—0.04 




200, 19 


18.15 


—0.147 


8 


353 


5.83 


2 


199 


400 


2.097 


3.64 


! 1.950 


0.66 




29 


28.12 


0.470 


8 


292 


3.64 


3 


239 










Aug. 8 


7.10 


0.728 


7 


223 


+ 1.07 


3 


274 




1869. 


1877. 




18 

28 


17.07 
27.04 


0.913 
1.019 


6 
5 


146 
— 65 


— 1.83 
4.99 


4 
4 


304 
328 



100 


— 2.1011+3.46 

2.076 4.00 


+1.928 

; 1.988 


—0.45 

1.07 




Sept. 7 
17 

27 


6.01 
15.99 
25.96 


1.042 
0.976 
0.817 


3 

+ 1 
— 1 


+ 21 
112 

206 


8.37 
11.89 
15.49 


4 
5 
5 


346 
357 
361 


j 200 
1 300 
| 400 


2.031 4.51 
1.969J 4.98 
1.889J 5 41 


! 2.031 
J 2.058 
| 2.067 


1.69 
2.29 

2.87 




Oct. 7 


5.93 


0.563 


4 


302 


19.09 


5 


358 




1870. 


1878. 




17 


15.90 


-0.214 


6 


396 


22.62 


4 


347 





























—1.918 


+5.27 


+2.066 


—2.68 




300, 27 


25.88 


+0.228 


9 


488 


26.00 


4 


327 


j 100 


1.829 


5.67 


I 2.064 


3.25 




Nov. 6 


4.85 


0.760 


12 


573 


29.14 


3 


300 


j 200 


1.724 


6.01 


i 2.046 


3.79 




16 


14.82 


1.372 


14 


648 


31.97 


3 


264 


300 


1.604 


6.30 


! 2.010 


4.30 




26 


24.80 


2.052 


17 


710 


34.39 


2 


220 


400 


1.471 


6.54 


1.958 


4.78 




Dec. 6 


4.77 


2.786 


20 


753 


36.34 


+ 1 


169 




1871. 


1879. 




16 


14.74 


3.550 


22 


773 


37.76 





113 






i 




26 
36 


24.71 
34.69 


4.325 

+5.085 


24 
—25 


772 
+745 


38.59 

—38.81 


- 1 

— 2 


— 53 
+ 9 



100 
200 


—1.517 
1.376 
1.223 


+t>.4t> 
6.66 
6.81 


+ 1.977 
j 1.914 
j 1.834 


— 4.t>^ 
5.08 
5.49 
















300 


1.060 


6.89 


I 1.739 


5.85 
6.17 








400 


o!889 


6^92 


1 1.629 










1872 B. 


1880 B. 






* 8 Mean Sun, Mar. 12.9. 












* 6 0, Sept. 12.5. 





—0.948 


+6.91 


+1.668 


—6.07 






* d Mean Sun, Sept. 11.5. 


100 


0.772 


6.90 


1.549 


6 36 








200 


0.590 


6.83 


1.416 


6.59 






, 


300 


0.404 


6.70 


1,271 


6.77 








400 


—0.215 


+6.52 


+1,116 


—6.89 



SPECIAL TABLES. 











TABLE XXIV.- 


-v Leonis. 








h 
R.A. 11 


ni 
30.3. 




Dec. — 


/ 

6. 


• 

Upper transit at fictitious meridian. 








A Q a 






A Q d 


Side- 
1 real 
Day. 


A a a 


A o^ 


! A Q« 


A Q<* 


Sidereal Day. 


Mean Day. 






















1S70. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff foi- 
10 d. 


| 


1865. 

s " 


I - ■ 
| 1873. 

| 8 " 


















1 100 


+0.6351—5.06 
0.553 4.60 


'—0.916+6.48 
i 0.865! 6.24 






















s 






a 






: 200 


0.466 


4.09 


; 0.806! 5.95 


0, Jan. 


— 0.30 


+0.406 


— 3 


+324 


— 1.55 


+ 2 


-213 


; 300 


0.375 


3.55 


I 0.741! 5.61 


10 


+ 9.67 


0.720 


3 


303 


3.64 


2 


203 


1 400 


0.280 


2.97 


; 0.670J 5.22 


20 


19.65 


1.009 


2 


273 


5.60 


1 


187 


| 




1 


30 


29.62 


1.264 


2 


237 


7.37 


1 


166 




1866. 


i 1874. 


Feb. 9 


8.59 


1.482 


2 


196 


8.91 


1 


141 





+0.312 


—3.17 


!— 0.6951+5.36 


19 
Mar. 1 

11 
21 


18.56 

0.54 

10.51 

20.48 


1.655 
1.784 
1.871 
1.916 


— 1 






151 

108 

66 

+ 26 


10.19 
11.20 
11.96 
12.44 


+ 1 





115 

88 
62 
37 


| 100 

! 200 

1 300 

400 


0.216 
0.117 

+0.018 

—0.081 


2.57 
1.96 
1.32 
0.68 


! 0.621! 4.94 
! 0.5411 4.49 
I 0.457! 4.00 
! 0.370[ 3.47 


31 


30.45 


1.924 


+ 1 


— 8 


12.70 


— 1 


— 15 


j 


1867. 


1 

1875. 


100, Apr. 10 


9.43 


1.901 


1 


36 


12.74 


1 


+ 4 





—0.048;— 0.89 


—0.399+3.65 


20 


19.40 


1.853 


2 


60 


12.62 


2 


20 


1 100 


0.147—0.24 


i 0.310 


3.11 


30 


29.37 


1.782 


2 


78 


12.35 


2 


34 


' 200 


0.244 


+0.41 


0.218 


2.54 


May 10 


9.34 


1.699 


3 


90 


11.95 


2 


45 


1 300 


0.340 


1.06 


! 0.124 


1.96 


20 


19.32 


1.604 


3 


98 


11.46 


2 


53 


i 400 


0.433 


1.69 


j 0.030 


1.35 


30 


29.29 


1.504 


3 


102 


10.90 


2 


59 




1868 B. 


1876 B. 


June 9 


8.26 


1.401 


3 


102 


10.29 


2 


63 








19 


18.24 


1.301 


3 


99 


9.65 


2 


65 





—0.402+1.48 


—0.062 


+ 1.56 


29 


28.21 


1.204 


3 


94 


9.00 


2 


66 


100 


0.492 


2.11 


+0.033 


0.95 


July 9 


8.18 


1.115 


3 


85 


8.34 


2 


64 


I 200 
: 300 


0.577 
0.657 


2.72 
3.30 


; 0.128 
! 0.221 


+0.33 
—0.30 


200, 19 


18.15 


1.035 


2 


75 


7.72 


2 


60 


! 400 


0.732 3.85 


! 0.313 


0.92 


29 


28 13 


0.966 


2 


61 


7.15 


2 


54 


! 






Aug. 8 


7.10 


0.915 


2 


43 


6.65 


1 


45 


j 


1869. 


1877. 


18 


17.07 


0.882 


1 


— 23 


6.25 


1 


33 





—0.707 


+3.68 


,+0.282 


—0.72 


28 


27.04 


0.871 


+ 1 


+ 3 


5.99 


1 


19 


! ioo 

1 200 


0.778 
0.841 


4.21 

4.70 


0.373 

! 0.460 


1.33 
1.94 


Sept. 7 


6.02 


0.888 





31 


5.87 


— 1 


+ 1 


; 300 


0.897 


5.15 


j 0.544 


2.53 


17 


15.99 


0.935 





63 


5.96 





— 21 


; 400 


0.945 


5.56 


| 0.623 


3.10 


27 


25.96 


1.016 





100 


6.29 





45 








Oct. 7 


5.94 


1.135 


— 1 


138 


6.87 


+ 1 


70 


1 


1870. 


1878. 


17 


15.91 


1.292 


2 


177 


7.70 


I 


98 


i 






















: o 


—0.929 


+5.43 


+0.5971—2.91 


300, 27 


25.88 


1.489 


2 


217 


8.83 


1 


126 


I 100 


0.972 


5.80 


0.673 3.47 


Nov. 6 


4.85 


1.724 


2 


252 


10.22 


1 


152 


1 200 


1.006 


6.12 


0.744 3.99 


16 


14.83 


1.992 


2 


284 


11.86 


1 


176 


: 300 


1.031 


6.39 


0.809 4.49 


26 


24.80 


2.290 


3 


310 


13.72 


1 


196 


, 400 


1.047 6.60 


j 0.867[ 4.95 


Dec. 6 


4.77 


2.609 


3 


327 


15.74 


1 


208 


I 


1871. 


1879. 


16 
26 
36 


14.74 
24.72 
34.69 


2.940 

3.274 

+3.599 


3 

3 

— 3 


334 

331 

+317 


17 87 

20.04 

—22.18 


2 
2 

+ 2 


216 

216 

—211 


1 
100 

i 200 
300 

j 400 


—1.043 
1.053 
1.055 
1.047 
1.031 


+6.54 
6.71 
6.83 
6.89 
6.89 


+0.818 
j 0.902 
I 0.948 
j 0.986 
1 1.016 


—4.80 
5.23 
5.62 
5.97 
6.27 


■ ■ — "■ 














i 














I 


1872 B. 


1880 B. 


! 


* 
* 


6 Mean 
6 0, 


Sun, 


Sept. 1 
Sept. 1 


4.4. 
3.3. 







—1.037 


+6.90 


+1.007 


—6.17 


. 












1 100 


1.015 


6.86; 1.032 


6.44 


1 














! 200 

; 300 


0.985 
0.946 


6.77 
6.62 


1.048 
1.055 


6.64 

6.80 


, 














400—0.901 

I 


+6.41+1.053—6.89 j 

I] 1 



156 



SPECIAL TABLES. 







TABLE XXIV.- 


o Virginis. 






h m 

R.A. 11 58.6. 




o / 

Dec. + 9 27. 


Upper transit at fictitious meridian. 


Sidereal Day. 


Mean Day. 


A O a 


A 0<> 


Side- 
real 
Day. 


A Q a 


W 


: A ^ a 


A Q d 


1S70. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 

8 



















100 


+0.551 
0.463 


—4.18 

3.65 


—0.867 
. 0.807 


+5.98 
5.65 






















s 






// 






200 


0.372 


3.08 


0.741 


5.27 


0, Jan. 


— 0.28 


+0.240 


— 3 


+334 


— 4.81 


+ 2 


-203 


300 


0.277 


2.49 


0.669 


4.85 


10 


+ 9.69 


0.567 


3 


319 


6.75 


2 


183 


400 


0.179 


1.88 


0.592 


4.39 


20 


19.66 


0.874 


3 


294 


8.46 


2 


157 






i 


30 


29.64 


1.152 


2 


262 


9.88 


I 


128 




1S66. 


1871. 


Feb. 9 


8.61 


1.396 


2 


224 


11.02 


+ 1 


98 





-+0.212)- 2.09 


—0.619+4.55 


19 


18.58 


1.598 


2 


181 


11.83 





64 


100 


0.113 


1.46 


: 0.538 


4 07 


Mar. 1 


0.56 


1.758 


1 


137 


12.31 





32 


200 


+0.014 


0.82 


1 0.453 


3.55 


11 


10.53 


1.873 


— 1 


95 


12.48 


o 


— 4 


300 


—0.086 


—0.18 


0.365 


3.01 


21 


20.50 


1.948 





55 


12.40 





+ 21 


400 


0.185 


+0.47 


; 0.274 


2.44 


31 


30.47 


1.984 





+ 18 


12.08 


— 1 


43 




1867. 


i 

1875. 


100, Apr. 10 


9.45 


1.986 


+ 1 


— 14 


11.56 


1 


60 





—0.152+0.25 


'—0.305 +2.63 


20 


19.42 


1.958 


1 


40 


10.90 


2 


72 


100 


0.250 


0.91.' 


| 0.212 


2.05 


30 


29.39 


1.908 


2 


61 


10.14 


2 


79 


200 


0.346 


1.54 


! 0.118 


1.45 


May 10 


9.36 


1.838 


2 


78 


9.34 


2 


82 


300 


0.439 


2.16 


—0.023 


0.85 


20 


19.34 


1.753 


2 


89 


8.52 


2 


81 


400 


0.528 


2.76 


+0.073J+0.23 


30 


29.31 


1.661 


2 


96 


7.72 


2 


78 




1868 B. 


i 

| 1876 B. 


June 9 


8.28 


1.561 


3 


102 


6.96 


2 


73 






1 


19 


18.26 


1.457 


3 


103 


6.26 


2 


65 





—0.499 


+2.56 


+0.041 


+0.44 


29 


28.23 


1.356 


3 


100 


5.66 


2 


56 


100 


0.584 


3.15 


i 0.136 


—0.18 


July 9 


8.20 


1.257 


2 


96 


5.14 


2 


44 


200 
300 


0.665 
0.740 


3.71 
4.24 


' 0.230 
; 0.322 


0.80 
1.41 


200, 19 


18.17 


1.164 


2 


89 


4.77 


1 


31 


400 


0.808 


4.73 


1 0.411 


2.00 


29 


28.15 


1.079 


2 


79 


4.53 


— 1 


17 






': 


Aug. 8 


7.12 


1.006 


2 


65 


4.44 





+ 1 




1869. 


1877. 


18 


17.09 


0.951 


1 


46 


4.51 





— 17 





—0.786 


+4.57 
5.03 


+0.381 —1.81 


28 


27.06 


0.915 


1 


— 24 


4.78 





36 


100 


0.849 


i 0.469 


2.40 


















200 


0.905 


5.44 


j 0.552 


2.97 


Sept. 7 


6.04 


0.905 


+ 1 


+ 4 


5.22 


+ 1 


57 


300 


0.953 


5.81 


! 0.632 


3.52 


17 


16.01 


0.924 





35 


5.91 


1 


79 


400 


0.993 


6.13 


0.706 


4.03 


27 


25.98 


0.976 


— 1 


70 


6.81 


1 


102 








Oct. 7 


5.95 


1.066 


1 


110 


7.95 


1 


126 




1870. 


1878. 


17 


15.93 


1.196 


2 


150 


9.33 


2 


150 






i 





















—0.980 


+6.03 


+0.6811—3.86 


300, 27 


25.90 


1.367 


2 


192 


10.95 


2 


173 


100 


1.014 


6.31 


0.75* 4 36 


Nov. 6. 


4.87 


1.580 


2 


232 


12.77 


2 


192 


200 


1.039 


6.53 


i 0.816 4.82 


16 


14.85 


1.830 


3 


268 


14.77 


2 


208 


300 


1.055 


6.70 ; [ 0.874[ 5.25 


26 


24.82 


2.114 


3 


299 


16.92 


2 


218 


400 


1.062 


6.81 


0.925! 5.63 


Dec. 6 


4.79 


2.425 


3 


321 


19.12 


2 


222 




1871.- 


1879. 


16 
26 
36 


14.76 
24.74 
34.71 


2 753 

3.090 

+3.424 


3 

4 

— 4 


334 

337 

+329 


21.35 

23.52 

-25.57 


2 

2 

+ 2 


221 
212 

—196 



100 
200 
300 


—1.061 
1.062 

1.053 
1.036 


+6.78 
6.85 
6.87 
6.82 


+0.908 
0.954 
0.992 
1 . 022 


-5.50 
5.85 
6.16 
6.41 












400 


1.011 


6.72 


1.043 


6.61 - 














1872 B. 


1880 B. 




* c 


5 0, Sept. 25 


!.3. 












* c 


$ Mean Sun, Sept. 2C 


.4. 







— 1.020 


+6.76 


+ 1. 037 j— 6.55 












100 


0.989 


6.62 1 1.0521 6.71 












200 


0.949 


6.43 1.059 6.82 












300 


0.902 


6.18 1.057! 6.87 












400 


—0.847 


+5.88! +1.0461— 6.86 

II 



SPECIAL TABLES. 



157 





TABLE XXIV.-« 4 Draconis (H.) 




h m 

R.A. 12 6.1. 


O 1 

Dec. + 78 20. 


Upper transit at fictitious meridian. 






A©a 




A d 




Side- 
real 


A a a 


^ 


A Q« 


A Q 6 


Sidereal Day. 


Mean Day. 










Day. 






\ 




1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
lOy. 


Diff. for 
10 d. 


1 

1 


1865. 

s " 


1873. 

1 8 " 


















! o 

! 100 


—1.821 

2.055 


—3.93 
3.39 


+0.576 
j 0.854 


+5.84 
5.48 






















s 






a 






| 200 


2.271 


2.81 


1.124 


5.08 


0,Jan. 


— 0.27 


+0.718 


—18 


+ L214 


-20.23 





— 50 


300 


2.468 


2.21 


1.384 


4.64 


10 


+ 9.70 


1.920 


23 


1184 


20.41 


— 1 


+ 15 


400 


2.644 


1.59 


1.632 


4.16 


20 


19.67 


3.072 


27 


1113 


19.93 


2 


79 






1 


30 


29.64 


4.132 


31 


1003 


18.83 


3 


140 




1866. 


1874. 


Feb. 9 


8.62 


5.065 


33 


856 


17.15 


3 


194 



























—2.587 


— 1.80 


+1.550 


+4.33 


19 


18.59 


5.839 


35 


685 


14.97 


4 


240 


100 


2.747 


1.17 


i 1.769 


3.83 


Mar. 1 


0.56 


6.429 


35 


492 


12.39 


4 


275 


i 200 


2.884 


—0.52 


j 2.012 


3.30 


11 


10.54 


6.820 


35 


288 


9.52 


5 


298 


| 300 


2.995 


+0.13 


2.219 


2.74 


21 


20.51 


7.004 


33 


+ 81 


6.48 


5 


308 


j 400 


3.080 


0.77 


2.406 


2.16 


31 


30.48 


6.983 


30 


— 121 


3.39 


5 


306 




1867. 


1875. 


100, Apr. 10 


9.45 


6.766 


27 


310 


— 0.39 


5 


293 





—3.054 


+0.55 


+2.345 


+2.36 


20 


19.43 


6.370 


23 


479 


+ 2.42 


4 


268 


! 100 


3.122 


1.20 


i 2.520 


1.77 


30 


29.40 


5.816 


18 


624 


4.94 


4 


234 


! 200 


3.162 


1.83 


! 2.673 


1.16 


May 10 


9.37 


5.131 


13 


742 


7.07 


3 


192 


300 


3.174 


2.45 


1 2.805 


+0.55 


20 


19.34 


4 342 


8 


831 


8.75 


3 


143 


400 


3.159 


3.04 


2.913 


—0.07 


30 


29.32 


3.478 


— 3 


892 


9.93 


2 


91 




1868 B. 


1870 B. 


June 9 


8.29 


2.568 


+ 2 


923 


10.56 


1 


+ 36 


I 






19 


18.26 


1.641 


7 


928 


10.65 


— 1 


— 19 





—3.167 


+2.84 


+2.879 


+0.14 


29 


28.23 


+0.721 


11 


907 


10.18 





74 


! ioo 


3.134 


3.42 


| 2.971 


—0.48 


July 9 


8.21 


—0.165 


15 


863 


9.17 


+ 1 


128 


j 200 
1 300 


3.073 

2 985 


3.96 
4.47 


S 3.039 
3.082 


1.09 
1.70 


200, 19 


18.18 


0.993 


18 


798 


7.64 


2 


178 


| 400 


2.872 4.94 


3.099 


2.29 


29 


28.15 


1.755 


20 


715 


5.63 


2 


224 


j 






Aug. 8 


7.13 


2.422 


22 


615 


3.19 


3 


265 


| 


1S69. 


1877. 


18 
28 


17.10 

27.07 


.2.980 
3.416 


23 
23 


500 
371 


+ 0.35 

— 2.82 


3 
4 


301 
331 



100 
200 


—2 913 

2.784 
2.630 


+4.79 
5.23 
5.62 


+3.096 
3.097 
3.072 


—2.09 
2.67 
3.23 


Sept. 7 


6.04 


3.719 


22 


232 


6.26 


4 


355 


300 


2.454 


5.97 


3.021 


3.77 


17 


16.02 


3.877 


21 


— 82 


9.89 


5 


372 


400 


2.257 


6.96 


2.946 


4 "27 


27 


25.99 


3.880 


18 


+ 76 


13.66 


5 


381 








Oct. 7 


5.96 


3.722 


15 


240 


17.49 


5 


382 


i 


1870. 


1878. 


17 


15.93 


3.400 


12 


405 


21.28 


5 


376 


| 

























—2.326 


+6.17 


+2.97."— 4.10 


300, 27 


25.91 


2.912 


7 


569 


24.97 


4 


360 


1 100 


2.116 


6.42 


2.882 


4.58 


Nov. 6 


4.88 


2.263 


+ 2 


727 


28.45 


4 


335 


i 200 


1.889 


6.te 


2.76G 


5.03 


m 


14.85 


1.462 


— 4 


873 


31.64 


4 


302 


[ 300 


1.647 


6.77 


2.627 


5.43 


28 


24.83 


—0.523 


10 


1000 


34.46 


3 


260 


; 400 


1.390 


6.85 


2.466 


5.79 


Dec. 6 


4 80 


+0.531 


16 


1103 


36.81 


2 


209 


i 


1871. 


1879. 


16 
26 
36 


14.77 
24.74 
34.72 


1.673 

2.869 
+4.081 


22 

27 
—33 


1175 

1210 

+1206 


38.63 

39.84 
—40.43 


2 

+ 1 



153 

91 

— 26 



100 
200 


—1.478 
1.214 
0.941 


+6.83 
6.87 
6.86 


+2.523 
2.348 
2.153 


—5.67 
6.00 
6.28 


i 














300 


0.661 


6.79 
6.66 


1.940 
1.709 


6.51 










400 


o]376 


e!63 










! 


1872 B. 


1880 B. 


,j 


* 6 Mean Sun, Sept. 22.3. 
5fc 8 Mean Sun, Mar. 23.7. 






Ls 


—0.472 


+6.71 


+1.789—6.63 




# 6 0, Sept. 24.4. 






100 


—0.185 


6.54 


1.548 


6.77 










! 20(i 


+0.103 


6.32 


1.294 


6 85 


, 








1 300 


0.389 


6. or, 


1.029 


6.87 










j 400 


+0.671 +5.72 


+0.754 —6.83 



158 






SPECIAL TABLES. 












TABLE XXIV.-* /* Chamaeleontis. 




h m ° ' 
R.A. 12 10.8. Dec. — 78 35. 




Upper transit at fictitious meridian. 










.Side 






| | 






A Q a 


A ©<> 


real 


A Q a 


A ^ 


A a a A ^ 


Sidereal Pay. 








Day 






i . 


MeanDay. 










| 












1870. 


Var. in 
10 y. 


Diff. foi 
10 d. 


1870. 


Var. in Diff. for 
10 y. 1 10 d. 


f 

I 10C 


1805. 

+3.1581—3.79 
3.228 3.22 


1 1873. 

! B " 
—2.485 +5.74 


















2.664 


5.37 






s 






» 






20C 


3.269 


2.64 


2.82C 


4.96 


0,Jan. 


— 0.27 


+0.946 


—13 


+1209 


+19.48 


+ 1 


—146 


300 


3.28* 


2.03 


2.953 


4.51 


10 


+ 9.70 


2.130 


— 6 


1147 


17.73 


1 


203 


400 


3.267 


1.40 


3.061 


4.02 


20 


19.67 


3.230 





1049 


15.43 


3 


254 








30 


29.65 


1.218 


+ 7 


92: 


12.67 


4 


298 




1800. 


1874. 


Feb. 9 


8.62 


5.070 


13 


776 


9.51 


4 


333 


c 


+3.275'— 1.62 


—3.027 


+4.19 


19 


18.59 


5.770 


19 


619 


6.04 


5 


359 


100 


3.241 0.9t 


3.119 


3.67 


Mar. 1 
Jl 
21 


0.57 
10.54 
20.51 


6.306 
6.673 
6.870 


24 
29 
33 


45* 

283 

+ 114 


+ 2.36 
— 1.44 

5.28 


5 
5 
5 


376 
384 
383 


200 

; 300 

! 400 


3.178—0.33 
3.087+0.32 
2.970| 0.96 


3.184 

3.223 
3.235 


3.13 
2.57 
1.98 


31 


30.48 


6.901 


36 


— 51 


9.07 


5 


374 


1 


1807. 


1875. 


100, Apr. 10 


9.46 


6.771 


38 


206 


12.74 


5 


358 


1 

1 ° 


+3.012 


+0.74 


'—3.234 


+2.18 


20 


19.43 


6.489 


39 


355 


16.20 


4 


334 


100 


2.878 


1.39 


i 3.228 


1.59 


30 


29.40 


6.065 


40 


490 


19.39 




4 


303 


200 


2.718 


2.01 


3.196 


0.98 


May 10 


9.38 


5.514 


39 


611 


22.25 




3 


267 


! 300 


2.534 


2.62 


3.13b 


+0.36 


20 


19.35 


4.848 


38 


716 


24.71 




3 


225 


! 400 


2.328 


3.21 


3.054 


-0.26 


30 


29.32 


4.084 


35 


806 


26.73 




2 


178 




1808 B. 


1870 B. 


Juno 9 


8.29 


3.242 


32 


87£ 


28.25 


+ 


1 


127 








19 


18.27 


2.342 


28 


921 


29.26 







74 





+2.400 


+3.02 


j— 3.085— 0.05 


29 


28.24 


1.407 


24 


944 


29.72 







— 19 


100 


2.181 


3.5fc 


2.984 


0.67 


July 9 


8.21 


+0.463 


19 


940 


29.63 


~ 


1 


+ 37 


200 
300 


1.943 
1.689 


4.12 
4.6* 


2.858 
2.709 


1.28 
1.88 


200, 19 


18.18 


—0.463 


14 


908 


28.99 




2 


91 


400 


1.420 


5.08 


2.537 2.47 


29 


28.16 


1.343 


8 


846 


27.82 




3 


143 








Aug. 8 


7.13 


2.146 


+ 3 


75? 


26.15 




4 


190 




1809. 


1877. 


18 


17.10 


2.843 


— 3 


63f 


24.04 




4 


231 





+1.512 


+4.93 


—2.598 


—2.27 


28 


27.08 


3.407 


8 


488 


21.56 




3 


264 


100 
200 


1.235 

0.948 


5.36 
5.74 


2.412 

2.205 


2.85 
3.40 


Sept. 7 


6.05 


3.812 


12 


31 g 


18.79 




3 


288 


300 


0.654 


6.07 


1.981 


3.92 


17 


16.02 


4.036 


16 


— m 


15.84 






301 


400 


0.354 


6.34 


1.739 


4.42 


27 


25.99 


4.063 


19 


+ 75 


12.80 




3 


304 








Oct. 7 


5.96 


3.884 


21 


284 


9.81 




3 


293 




1870. 


1878. 


17 


15.94 


3.497 


21 


491 


6.97 




3 


271 





























+0.456 


+6.26 


—1.822 


—4.25 


300, 27 


25.91 


2.908 


21 


686 


4.42 


4 


238 


100 


+0.154 


6.50 


1.571 


4.73 


Nov. 6 


4.88 


2. 138 


20 


862 


2.24 


4 


194 


200 


—0.148 


6.68 


1.305 


5.16 


16 


14.86 


1.192 


17 


1012 


— 0.56 


3 


142 


300 


0.448 


6.80 


1.028 


5.55 


26 


24.83 


-0.120 


14 


112* 


+ 0.58 


2 


84 


400 


0.743 


6.87 


0.742 


5.89 


Dec. 6 


4.80 


+1.050 


10 


1205 


1.10 


- 1 


+ 20 




1871. 


1870. 


16 
26 


14.77 

24.75 


2.277 
3.520 


— 4 

+ 2 


1242 
123/ 


0.99 
+ 0.23 



+ 1 


— 44 

108 



100 


-0.644 
0.935 


+6.85 

6.88 


-0.840 
0.548 


—5.78 
6.09 


36 


34.72 +4.739 


+ 8 


+1194 


- M6 + 2 ! 


—168 


200 


1.218 


6.85 


—0.252 


6.36 












300 


1.489 


6.76 


+0.048 
0.348 


6.57 






400 


1.748 


6.61 


6.73 








1872 B. 


1880 B. 




* 8 Mean Sun, Mar. 24.9. 








* 6 ©, Sept. 25 6. 







—1.662 


+6.67 +0.247 


-6.68 




>jc d Mean Sun, Sept. 23.5. 


100 


1.910 


6.49 


0.546 


6.80 






200 


2.142 


6.25 


0.841 


6.86 






300 


2.355 


5.96 


1.130 


6.86 






400 


-2.548 


+5.62 


+1.410 


-6.81 




























1 



SPECIAL TABLES. 



159 



1 






TABLE XXIV.-v Virginia. 










h m 

R.A. 12 13.3. 




Dec. + 


1 

3 3. 


Upper transit at fictitious meridian. 










^O a 




A <S 


Side- 
real 


A Q a 


A ^ 


A Q a 


A ^ 




Sidereal Day. 


Mean Day. 










Day. 












1870. 


Var. in 
10 y. 


Diff. for 

10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


i 
1 


1865. 

B " 


1873. 

8 " 




















1 o 

! 100 


+0.633—3.69 


—0.915 
0.864 


+5.69 
5.31 




















0.551 


3.13 








8 






a 






i 200 


0.464 


2.54 


0.806 


4.89 




0, Jan. 


— 0.27 


+0.157 


— 3 


+332 


— 1.51 


+ 2 


—216 


300 


0.373 


1.93 


0.740 


4.43 




10 


+ 9.70 


0.483 


3 


320 


3.63 


2 


207 


i 400 


0.278 


1.30 


0.669 


3.94 




20 


19.67 


0.793 


3 


297 


5.62 


I 


190 


i 








30 


29.65 


1.075 


2 


267 


7.41 


1 


169 


| 


I860. 


1874. 




Feb. 9 


8.62 


1.325 


2 


231 


8.99 


1 


145 





























+0.311 


—1.52 


—0.694+4.11 




19 


18.59 


1.536 


2 


191 


10.30 


+ 1 



118 


! 100 


0.214 


0.88 


i 0.619 


3.59 




Mar. 1 


0.57 


1.707 


1 


150 


11.34 


90 


1 200 


0.116 


—0.23 


0.539 


3.05 




11 


10.54 


1.836 


— 1 


109 


12.10 





62 


! 300 


+0.017 


+0.42 


! 0.456 


2.48 




21 


20.51 


1.925 





70 


12.59 





37 


j 400 


—0.083 


1.06 


0.368 


1.89 




31 


30.48 


1.977 


+ 1 


34 


12.84 





— 14 


! 


1867. 


1875. 




100, Apr. 10 


9.46 


1.994 


1 


+ 3 


12.87 





+ 7 





—0.049+0.85 


—0.398+2.09 




20 


19.43 


1.984 


2 


— 23 


12.70 


— 1 


24 


100 


0.148 


1.49 


i 0.308 1.49 




30 


29.40 


1.949 


2 


45 


12.39 


1 


37 


200 


0.246 


2.11 


! 0.216 


0.88 




May 10 


9.37 


1.895 


2 


62 


11.96 


1 


48 


i 300 


0.342 


2.72 


0.123 


+0.26 




20 


19.35 


1.825 


2 


77 


11.44 


1 


56 


■ 400 


0.434 


3.30 


0.028 


—0.36 




30 


29.32 


1.741 


3 


88 


10.85 


1 


61 




1868 B. 


1876 B. 




June 9 


8.29 


1.650 


3 


94 


10.22 


1 


64 










19 


18.27 


1.554 


3 


98 


9.58 


2 


65 


o 


—0.403 


+3.11 


—0.060—0.15 




29 


28.24 


1.454 


3 


100 


8.93 


2 


64 


! ioo 


0.493 


3.67 


+0.035 


0.76 




July 9 


8.21 


1.355 


3 


99 


8.31 


2 


61 


1 200 
i 300 


0.579 
0.659 


4.21 

4.70 


! 0.130 
! 0.223 


1.38 

1.98 




200, 19 


18.18 


1.258 


3 


94 


7.72 


1 


56 


J 400 


0.733 


5.15 


0.315 


2.56 




29 


28.16 


1.168 


3 


86 


7.20 


1 


50 










Aug. 8 


7.13 


1.088 


3 


74 


6.73 


1 


41 




1869. 


1877. 




18 
28 


17.10 

27.07 


1.021 
0.973 


2 

2 


58 
36 


6.38 
6.15 


1 
1 


30 
+ 15 



100 


—0.709 
0.779 


+5.01 
5.43 


+0.284 
0.374 


-2.37 

2.94 




Sept. 7 


6.05 


0.950 


+ 1 


— 11 


6.08 


— 1 


— 3 


! 200 
! 300 


0.842 
0.89* 


5.80 
6.12 


0.462 
0.545 


3.49 
4.01 




17 


16.02 


0.953 





+ 20 


6.21 





23 


4C0 


0.946 


6.39 


0.625 


4.50 




27 


25.99 


0.991 





57 


6.55 





45 










Oct. 7 


5.96 


1.067 





95 


7.12 





71 




1870. 


1878. 




17 


15.94 


1.182 





137 


7.97 


+ J 


97 





























—0.930+6.30 


+0.598 


—4.34 




300, 27 


25.91 


1.341 


— 1 


180 


9.07 


1 


124 


100 


0.973 6.53 


0.674 


4.80 




Nov. 6 


4.88 


1.542 


2 


221 


10.44 


1 


150 


200 


1.007 


6.7J 


0.745 


5.22 1 




16 


14.86 


1.782 


2 


258 


12.05 


2 


173 


300 


1.032 


6.82 


0.810 


5.61 




26 


24.83 


2.057 


2 


290 


13.89 


2 


193 


400 


1.048 


6.8b 


0.868 


5.95 




Dec. 6 


4.80 


2.360 


2 


314 


15.90 


3 


208 




1871. 


1879. 




16 

26 

33 


14.77 
24.75 
34.72 


2 683 

3.016 

+3.350 


3 

3 

— 3 


329 
335 

+328 


18.03 

20.20 
—22.35 


3 
3 

+ 3 


216 

217 

—212 



100 
200 


—1.043 
1.054 

1.055 


+6.87 
6.89 
6.84 


+0.849 
0.903 
0.949 


-5.84 
6.14 
6.40 




tmm ^ mmm 












300 


1.047 


6.75 


0.987 


6. 6 J 
















400 


1.031 


6.59 


1.017 


6.75 


















1872 B. 


I88OB. 






* 


6 ©, 


Sept. 2 


6.4. 




! 










* 


6 Mean i 


5un, Sept. 2 


4.1. 






! 100 

: 200 

300 

400 


—1.037 
1.015 
0.9S4 
0.945 

—0.899 


+6.65 
6 46 
6.21 
5.91 

+5.57 


+1.008 
1.032 
1.048 
1 055 

+ 1.053 


—6.70 
6.dl 

6.87 

6.86 

—6.80 1 

1 





160 



SPECIAL TABLES. 









TABLE XXIV.- 


-a 1 Crucis. 






h m 

R.A. 12 19.4. 




o / 
Dec. — 62 23. 








Upper transit at fictitious meridian. 








A a 




A <5 


1 Side- 
! real 


A a a 


A Q d 


| 
A Q a 


^ 


Sidereal Day. 


MeanDay. 










Day. 






















I 










1870. 


Var.in 
10 y. 


Diff. for 

10 d. 


1870. 


Var.in 
10 y. 


Diff. for 
10 d. 


! 


1865. 

8 " 


1873. 

1 s " 




















i 100 


+1.626 
1.600 


-3.49 
2.91 


'—1.548 
1.584 


+5.56 
5.16 






















8 






a 






200 


1.560 


2.32 


1.606 


4.72 


0,Jan. 


— 0.27 


+0.301 


— 7 


+588 


+17.28 


+ 2 


-169 


300 


1.506 


1.70 


1.614 


4.25 


10 


+ 9.71 


0.877 


5 


561 


15 34 


2 


219 


400 


1.438 


1.06 


1.610 


3.74 


20 


19.68 


1.417 


4 


518 


12.93 


3 


263 








30 


29.65 


1.908 


3 


462 


10.11 


4 


297 




1866. 


1871. 


Feb. 9 


8.62 


2.338 


— 1 


396 


7.01 


4 


323 



























+1.463 


—1.27 


— 1. 6131+3.91 


19 


18.60 


2.699 


+ 1 


325 


3.67 


4 


343 


100 


1.387 


-0.63 


I 1.599 3.39 


Mar. 1 


0.57 


2.987 


2 


251 


+ 0.18 


4 


353 


200 


1.299 


+0.02 


I 1.573 


2.83 


11 


10.54 


3.200 


4 


175 


— 3.37 


4 


354 


300 


1.200 


0.67 


J 1.534 


2.25 


21 


20.52 


3.338 


6 


101 


6.88 


4 


349 


400 


1.090 


1.31 


1.481 


1.66 


31 


30.49 


3.404 


7 


+ 31 


10.32 


5 


336 




1867. 


1875. 


100, Apr. 10 


9.46 


3.402 


8 


— 34 


13.58 


4 


315 





+1.128 4-1.10 


—1.500+1.85 


20 


19.43 


3.337 


9 


95 


16.61 


3 


290 


100 


1.012 


1.73 


1.440 


1.25 


30 


29.41 


3.214 


10 


150 


19.36 


3 


259 


200 


0.887 


2.35 


! 1.368 


0.64 


May 10 


9.38 


3.039 


10 


199 


21.78 


2 


224 


300 


0.755 


2.95 


i 1.2841+0.02 
1.191J— 0.60 


20 


19.35 


2.819 


11 


241 


23.82 


2 


184 


400 


0.616 


3.52 


30 


29.32 


2.559 


11 


277 


25.44 


2 


139 




1868 B. 


1876 B. 


June 9 


8.30 


2.268 


11 


305 


26.60 


+ 1 


93 






1 


19 


18.27 


1.951 


10 


327 


27.30 





— 45 





+0.664 


+3.34 


:— 1.223— 0.39 


29 


28.24 


1.617 


10 


339 


27.50 





+ 5 


100 


0.521 


3.89 


| 1.123 


1.01 


July 9 


8.21 


1.276 


9 


342 


27.21 


— 1 


53 


200 
300 


0.374 
0.224 


4.41 

4.88 


1.014 

0.895 


1.61 
2.21 


200, 19 


18.19 


0.937 


8 


333 


26.44 


2 


101 


400 


0.072 


5.32 


0.770 


2.79 


29 


28.16 


0.613 


7 


313 


25.20 


3 


145 








Aug. 8 


7.13 


0.314 


6 


282 


23.55 


3 


186 




1869. 


1877. 


18 
28 


17.11 

27.08 


+0.053 
—0.158 


5 
3 


238 
182 


21.51 

19.18 


3 
4 


220 
246 



100 


+0.124 
—0.028 


+5.18 
5.59 


'—0.814 
« 0.684 


—2.60 
3.17 


Sept. 7 
17 
27 


6.05 
16.02 
26.00 


0.308 
0.385 
0.381 


2 

+ 1 




115 

— 38 

+ 48 


16.62 
13.93 
11.23 


5 
5 

4 


264 
271 

268 


200 
300 
400 


0.180 
0.329 
0.475 


5.94 
6.24 
6.49 


! 0.548 
0.407 
0.263 


3.70 
4.21 

4.68 


Oct. 7 


5.97 


0.288 


— 1 


137 


8.60 


4 


255 




1870. 


1878. 


17 


15.94 


—0.106 


o 


228 


6,17 


4 


230 



























—0.426 


+6.41 


-0.312 


-4.53 


300, 27 


25.91 


+0.168 


2 


318 


4.04 


3 


195 


100 


0.570 


6.62 


I 0.166 


4.98 


Nov. 6 


4.89 


0.528 


3 


400 


2.30 


2 


151 


200 


0.708 


6.77 


—0.018 


5.39 


16 


14.86 


0.965 


2 


471 


1.04 


2 


99 


300 


0.839 


6.87 


+0.130 


5.75 


26 


24.83 


1.466 


2 


529 


0.31 


— 1 


+ 43 


400 


0.964 


6.90 


j 0.278 


6.07 


Dec. 6 


4.81 


2.017 


2 


570 


0.18 





— 17 




1871. 


1879. 


16 


14.78 


2.601 


2 


593 


0.65 


o 


76 






\ 


26 


24.75 


3.197 


— 1 


596 


1.70 


+ 1 

+ 3 


134 





—0.923 


+6.89 


+0.228 


—5.97 


36 


34.72 


+3.786 





+579 


— 3.32 


—189 


100 
200 


1.041 
1.151 


G«9 
6.83 


I 0.374 
0.518 


6.26 
6.49 


















300 


1.250 


6.71 


0.658 
0.792 


6.07 
6.80 














400 


L339 


6.53 
















1872 B. 


1880 B. 




* c 


5 0, 


Sept. 21 


U. 












* < 


5 Mean S 


un, Sept. 2£ 


>.7. 





100 
200 
300 


— 1.310+6.59 
1.391 6.381 
1.4601 6.12 

1.517 5.80J 


+0.747 
0.K78 
1.001 
1.117 


—6.76 
6.85 

6.88 
6.85 














400 


—1.561+5.43! 


+ 1.223 


—6.77 



SPECIAL TABLES. 



161 









TABLE XXIV. 


-p Corvi. 






h m 

R.A. 12 27.6. 




/ 

Dec. — 22 41. 


Upper transit at fictitious meridian. 








^0 a 




A d 


Side- 
i real 


A Q<* 


A ^ 


! A Q« 


A a <5 


Sidereal Day. 












Day. 






i 




.Ait 1 mi usy* 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

1 8 



















■ 100 


+0.854 
0.784 


—3.21 
2.62 


— 1.060 
i 1.027 


+5.38 
4.96 






















s 






// 






1 300 


0.706 


2.01 


! 0.985 


4.50 


0,Jan. 


— 0.26 


+0.091 


— 3 


+352 


+ 6.50 


+ 2 


—214 


! 300 


0.623 


1.38 


! 0.936 


4.00 


10 


+ 9.71 


0.439 


3 


340 


4.28 


2 


229 


| 400 


0.533 


0.73 


j 0.879 


3.47 


20 


19.68 


0.769 


3 


318 


+ 1.95 


3 


238 








30 


29.66 


1.073 


2 


289 


— 0.45 


3 


240 




1866. 


1871. 


Feb. 9 


8.63 


1.344 


2 


252 


2.82 


3 


234 





+0.564 


—0.95 


—0.899 


+3.66 


]9 


18.60 


1.575 


1 


211 


5.12 


3 


225 


; ioo 


0.472 


-0.30 


| 0.837 


3.11 


Mar. 1 


0.58 


1.766 


— 1 


170 


7.31 


3 


211 


1 200 


0.375 


+0.35 


; 0.768 


2.54 


11 


10.55 


1.916 





128 


9.32 


2 


192 


300 


0.275 


1.00 


| 0.693 


1.95 


21 


20.52 


2.024 


+ 1 


87 


11.15 


2 


172 


| 400 


0.173 


1.64 


| 0.613 


1.34 


31 


30.49 


2.092 


1 


50 


12.75 


2 


150 


j 


1867. 


1875. 


100, Apr. 10 


9.47 


2.126 


2 


+ 18 


14.14 


1 


127 





+0.207+1.42 


—0.641 +1.55 


20 


19.44 


2.129 


2 


— 11 


35.28 


+ 1 


103 


! ioo 


+0.104 


2.06 


! 0.557 


0.94 


30 


29.41 


2.106 


3 


36 


16.20 





81 


1 200 


0.000 


2.67 


i 0.469 


+0.32 


May 10 


9.38 


2.058 


3 


58 


16.89 





56 


i 300 


-0.104 


3.26 


| 0.377 


—0.30 


20 


19.36 


1.991 


4 


76 


17.33 





32 


j 400 


0.208 


3.82 


i 0.282 


0.92 


30 


29.33 


1.907 


4 


90 


17.54 





— 9 




1868 B. 


1876 B. 


June 9 


8.30 


1.811 


4 


102 


17.52 


— 1 


+ 13 


i 




1 


19 


18.28 


1.704 


3 


111 


17.29 


1 


34 


! 


^0.173 


+3.63 


—0.314 


—0 72 


29 


28.25 


1.590 


3 


117 


16.84 


1 


54 


1 100 


0.275 


4 17 


i 0.217 


1.33 


July 9 


8.22 


1.471 


3 


119 


16.20 


1 


73 


200 
300 


0.374 
0.470 


4.67 
5.12 


, 0.119 
—0.019 


1.93 
2.52 


200, 19 


18.19 


1.354 


3 


118 


15.37 


2 


90 


, 400 


0.562 


5.54 


+0.080 


3.09 


29 


28.17 


1.238 


3 


112 


14.40 


2 


104 








Aug. 8 


7.14 


1.132 


3 


100 


13.30 


2 


115 




I860. 


1877. 


18 


17.11 


1.039 


2 


83 


12.12 


2 


121 





—0.532 


+5.41 


+0.047 


—2.90 


28 


27.08 


0.967 


2 


61 


10.90 


2 


122 


100 

200 


0.620 
0.703 


5.79 
6.12 


1 0.146 
! 0.245 


3.46 

3.98 


Sept. 7 


6.06 


0.919 


2 


— 33 


9.69 


2 


117 


300 


0.779 


6.40 


0.341 


4.47 i 


17 


16.03 


0.902 


1 


+ 2 


8.57 


2 


107 


400 


0.849 


6.62 


' 0.436 


4.93 


27 


26.00 


0.924 


+ 1 


42 


7.57 


2 


90 








Oct. 7 


5.97 


0.988 





87 


6.79 


1 


66 


! 


187©. 


1878. 


17 


15.95 


1.098 





133 


6.26 


1 


38 



























—0.826 


+6.55 


+0.403 


—4.78 


300, ^ 27 


25.92 


1.255 


— 1 


180 


6.04 


— 1 


4- 6 


! ioo 


0.891 


6.73 


0.496 


5.21 


Nov. 6 


4.89 


1.460 


1 


226 


6.15 


:— 30 


200 


0.948 


6.85 


0.584 


5.60 


16 


14 87 


1.709 


1 


269 


6.64 





68 


300 


0.996 


6.92 


0.667 


5.94 


26 


24.84 


1.997 


1 


304 


7.51 


+ 1 


106 


400 


1.036 


6.92 


0.745 


6.23 


Dec. 6 


4.81 


2.315 


2 


331 


8.75 


1 


141 


! 


1871. 


1879. 


16 

26 
36 


14.78 
24.76 
34.73 


2.656 

3.008 

+3.362 


2 

2 

— 2 


348 

355 

+350 


10.32 
12.17 

-14.28 


2 

2 

+ 3 


172 

199 

—221 


i 


100 
200 

: 300 

400 


—1.024 
1.058 
1.083 
1.09e 
1.105 


+6.92 
6.89 
6.8i- 
6.64 
6.44 


+0.719 
0.793 
0.86 J 
0.922 
0.974 


—6.14 
6.40 
6.61 
6.76 1 
6.86 


























i 


1872 B. 


18SOB. 


' 


* c 


5 0, 


Sept. 3( 


).3. 




! 








* c 


5 Mean S 


un, Sept. 2' 


r.8. 




o 

I 100 

: 200 

300 


—1.103 
1.104 

1.094 
1.076 


+6.51 
6.27 
5.98 
5.63 


+0.958 
1.005 
1.045 
1076 


—6.83 
6.89 
6.89 
6.83 














1 400 


—1.049+5.24 


+1.097 


—6.71 



11 



162 



SPECIAL TABLES. 



TABLE XXIV.—* k Draconis, 



R.A. 



h m 
12 27.9. 



Dec. + 70 30. 



Upper transit at fictitious meridian. 



Sidereal Day. 



Mean Day. 



0, Jan. 

10 

20 

30 

Feb. 9 

19 

Mar. 1 
11 
21 
31 

100, Apr. 10 

20 

30 

May 10 

20 



A a 



200 





30 


June 9 




19 




29 


July 


9 




19 




29 


Aug 


•• 8 




18 




28 





Sept 


. 7 
17 

27 




Oct. 


7 
17 


300 




27 




Nov 


. 6 
10 

20 




Dec 


6 



1870. 



Var. in 

10 y. 



— 0.26 

+ 9.72 

19.69 

29 66 

8.63 

18.60 
0.58 
10.55 
20.52 
30.50 

9.47 
19.44 
29.41 

9.39 
19.36 

29.33 

8.30 

18.28 

28.25 

8.22 

18.19 

28.17 

7.14 

17.11 

27.09 

6.06 
16.03 
26.00 

5.93 
15.95 

25.92 

4.90 

14.87 

24.84 

4.81 

14.79 
24.76 
34.73 



Diff. for 
10 d 



+0.060 
0.831 
1.580 
2.282 
2.914 

3.455 

3.889 
4.205 

4.398 
4.468 

4.419 

4 260 
4.003 
3 661 
3.252 

2.769 
2.291 
1.771 
1.246 
0.729 

+0.233 

-0.231 

0.650 

1.015 

1.315 

1.542 
1.685 
1.737 
1.692 
1.543 

1.289 

0.929 

—0.466 

+0.090 
0.729 

1.433 
2.182 

+2.952 



- 8 
10 
11 
13 
14 

14 
14 
13 
13 
11 

10 

8 
6 
4 



9 
9 

9 

8 
7 
6 
5 
3 

f 1 

- 1 
3 
6 



A <> 



1870. 



Var. in Diff. for 
10 y. 10 d 



+773 
764 
730 
671 
589 

490 
377 
255 
131 
+ 9 

—106 
210 
302 

378 
439 

483 
512 
525 
523 
509 

482 
444 
394 
334 
265 

186 

99 

— 4 

+ 96 

201 

308 
412 
511 
600 
675 

730 
764 

+772 



-19.77 

20.46 
20 49 
19.89 

18.67 

16.91 
14.68 

12.08 
9.23 
6.25 

3.26 

- 0.38 
+ 2.30 

4.66 
6.64 

8.18 
9.22 
9.75 
9-74 
9.20 

8.14 

6.58 
4.56 
+ 2.12 

- 0.70 

3.84 
7.25 

10.85 

14.58 
18.37 

22.12 
25.75 
29.17 
32.29 
35.01 

37.25 
38.95 

—40.03 



+ 1 


— 1 
2 

2 

3 
3 

4 
4 
4 

4 
4 
4 
3 
3 

2 

2 

- 1 





M 

2 

2 
3 
3 

4 

4 
4 
4 

5 

4 

4 
4 
3 
3 



+ 



# 8 Mean Sun, Mar. 29.3. 

# 6 0, Sept. 30.4* 

# 6 Mean Sun, Sept. 27.9. 



real 
Day 



'Q a A Q 6 



101 

- 36 

+ 29 

92 

150 

201 
243 
274 

294 
301 

296 
280 
253 
219 
177 

129 

79 
+ 26 

— 28 
80 

131 

179 
224 

264 
299 

328 
352 
368 
377 
378 

371 
354 
3-28 
293 
249 

198 
140 

- 77 



1865. 




100 

200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 



I 

100 
200 
300 
400 




100 
200 
300 
400 



-0.860 
1.020 
1.17* 
1.314 
1.444 



-3.19 
2.61 
1.99 
1.36 
0.72 



1866. 



•1.401 
1.524 
1.633 
1.727 

1.807 



—0.94 

-0.29 

+0.36 

1.01 

1.65 



*n a 



^ 



1873. 



+0.055 
0.232 
0.406 
0.576 
0.742 



+5.37 
4.95 
4 49 
3.99 
3.47 



1874. 



1867. 



•1.782 
1.851 
1.904 
1.941 

1.960 



+1.44 
2.07 
2.68 
3.27 
3.83 



1S68 B. 



1.955 
1.963 
1.954 
1.928 

1.885 



+3.65 

4.18 
4.68 
5.14 
5.55 



+0.687 
0.846 
1.001 
1.147 

1.282 



+3.65 
3.10 
2.53 
1.94 
1.33 



+1.237 
1.366 
1.483 

1.586 
1.679 



1869. 



—1.902 

1.848 
1.778 
1.694 
1.594 




100 
200 
300 
400 




100 
200 
300 

400 




100 
200 
300 
400 



+5.42 
5.80; 
6.13 
6.40 
6.62 



1875. 



+ 1.54 

92 

+0.30 

-0.32 

0.94 



1S76 B. 



+1.650 
1.732 

1.800 
1.854 
1.892 



-0.73 
1.34 
1.94 
2.53 
3.10 



1877. 



1870. 



—1.629 
1.521 
1.400 
1.267 
1.124 



+ 1.881 
1.909 
1.92) 
1.917 

1.898 



+6.55 
6.73 
6.85 
6.92 
6.92 



1871. 



—1.173 
1.024 

0.866 
0.701 
0.531 



+6.92 
6.89 
6.79 
6.64 
6.43 



-2 91 
3.46 
3.99 

4.48 
4.93 



1878. 



+1.906 
1.876 
1.830 
1.769 
1.694 



—4.78 
5.21 
5.60 
5.94 
6.24 



1879. 



1872 B. 

0.5891+6.51 



0.416 

0.240 

—0.063 



+1.723 
1.636 
1.537 
1.425 

1.300 



1880 B. 

+1.344—6.83 



6.27 
5.97 
5.62 



+0.115+5.23; 



6 14 

6.40 
6.61 
6.76 
6.86 



1.212 

1.070 
0.917 

+0.757 



6.89 
6.89 
G83 
-6.71 



SPECIAL TABLES. 



163 





TABLE XXIV.-* 32 Camelopardalis (H) (foil.) 




h m 
R.A. 12 48.2. 


o / 

Dec. + 84 7. 

! 




Upper transit at fictitious 


jieridian. 






A a 




A ©<5 




Side- 
real 


Ana j Aq(5 


A Q a 


A a 6 \ 


Sidereal Day. 












Day. 


° 1 




i 


Me an Day. 
























1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff foi- 
10 d. 




1865. 

8 " 


1S73. 

H " 



















100 


—4.681 

4.998 


—2.47 

1.85 


+2.707+4.90 
3.161! 4.42 






















s 






// 






200 


5.271 


1.21 


3.588 


3.91 


0, Jan. 


— 0.24* 


—1.051 


+ 5 


+2225 


—20.45 





— 96 


300 


5.498—0.56 


3.984 


3.36 


10 


+ 9.73 


-f 1.193 


—15 


2250 


21.07 





— 29 


400 


5.677+0.10 


4.347 


2.79 


20 


19.70 


3.423' 


34 


2195 


21.03 





+ 37 








30 


29.67 


5.556 


53 


2060 


20.34 


— 1 


101 




186G. 


1874. 


Feb. 9 


8.65 


7.517 


69 


1849 


19.02 




161 





—5.622 


—0.12 


+4.228 


+2.99 


19 

Mar. 1 

11 

21 


18.62 

0.59 

10.56 

20.54 


9.233 
10.643 
11.701 
12.374 


84 

96 

104 

109 


1572 
1241 

869 
475 


17.14 

14.79 

12.06 

9.07 




213 

256 

288 
307 


100 
200 
300 
400 


5.769 
5.865 
5.910 
5.904 


+0.53 
1.19] 

1.8a| 
2.46 


4.560 
4.860 
5.124 
5.340 


2.40 
1.80 
1.18 
0.56 | 


31 


30.51 


12.648 


111 


+ 74 


5.95 




314 




1867. 


1875. 


100, Apr. 10 


9.48 


12.529 


108 


— 319 


— 2.83 




309 





—5.912 


+2.25 


-4-5.272 +0.77 ! 


20 


19.46 


12.019 


103 


688 


+ 0.18 




292 


100 


5.871 


2.86 


5.459+0.14 | 


30 


29.43 


11.160 


94 


1023 


2.97 




264 


200 


5.779 


3.45 


5.600—0.49 


May 10 


9.40 


9.986 


82 


1315 


5.43 




228 


300 


5.637 


4.0 » 


5.695! 1.11 


20 


19.37 


8.546 


68 


1557 


7.50 




184 


400 


5.447 


4.53 


5.743; 1.73 


30 


29.35 


6.890 


52 


1745 


9.09 


— 1 


134 




1868 B. 


1876 B. 


June 9 


8.32 


5.074 


34 


1878 


10.16 





81 








19 


18.29 


3.152 


—15 


1957 


10.69 





+ 25 





—5.516 


+4.36 


+5.732 


—1.52 


29 


28.26 


+1.177 


+ 4 


1981 


10.67 





— 31 


100 


5.294 


4.86 


5.749 


2.i3 


July 9 


8.24 


—0.794 


23 


1955 


10.08 





86 


, 200 


5.026 


5.31 


5.719 


2.72 
















1 300 


4.715 


5.72 


5.641 


3.28 


200, 19 


18.21 


2.717 


42 


1883 


8.95 





139 


, 400 


4.363 


6.07 


5.517 


3.82 


29 


28.18 


4.545 


59 


1767 


7.31 





190 


1 






Aug. 8 


7.16 


6.238 


76 


1612 


5.17 


+ 1 


235 


1 


1869. 


1877. 


18 


17.13 


7.757 


90 


1421 


+ 2.62 




276 





—4.486 


+5.96 
6.28 


+5.5641—3.65 
5.410 4.16 


28 


27.10 


9.068 


103 


1197 


— 0.33 




312 


100 


4.110 


















200 


3.699 


6.54 


5.211 


4.65 


Sept. 7 


6.07 


10.141 


113 


945 


3.60 




342 


i 300 


3.257 


6.75 


4.969 


5.10 


17 


16.05 


10.948 


120 


666 


7.14 




364 


400 


2.789 


6.90 


4.686 


5.51 


27 


26.02 


11.466 


125 


365 


10.87 




380 








Oct. 7 


5.99 


11.673 


127 


— 47 


14.72 




388 


i 


1870. 


1878. 


17 


15.96 


11.556 


126 


+282 


18.60 




388 
























1 


-2.949 


+6.85 


+4.785 


-5.37 


300, 27 


25.94 


11.107 


122 


618 


22.44 




378 


100 


2.466 


6.96 


4.476 


5.75 


Nov. 6 


4.91 


10.322 


114 


950 


26.14 




360 


200 


1.962 


7.01 


4.129 


6.08 


16 


14.88 


9.212 


104 


1268 


29.60 




332 


1 300 


1.443 


7.00 


3.747 


6.37 


26 


24.86 


7.794 


91 


156* 


32.74 




295 


1 400 


0.913 


6.93 


3.333 


6.60 


Dee. 6 


4.83 


6. 1C0 


76 


1818 


35.47 




249 




1871. 


1879. 


16 
26 
36 


14.80 
24.77 
34.75 


4.174 

-2.072 
+0.140 


59 

40 

+20 


2024 

21 a*: 
+2241 


37.70 

39.36 

'—40.39 


+ 1 





195 

136 

— 71 



! 100 
i 200 


—1.093+6.96* 

0.5591 6.85 

—0.022 6.68 


+3.476—6.52 
3.042; 6.72 
2.583 6.86 


l 












1 300 4-0.514i 6.45 


2.101 i 6.94 


i 








| 400 

i 


1.044 6.17 

1 

1872 B. 


1.600, 6.96 
1880 B. 




5|c £ Mean Sun, April 3.4. 












i 


* 6 ©, Oct. 6.1. 






0+0.86 f6.27 


_j_1.77]|_ 6.96 : 


i 


* 6 Mean Sun, Oct. 3.0. 






i 100! 1.390 

200 ].90d 

; 300 2.392 


5.96 
5.60 
5.19 


1.260 6.95 

0.738 6.87 

+0.208 1 6.74 ! 


I 








1 400+2.863+4.74 

1 


—0.325—6.55 



164 



SPECIAL TABLES. 



I 




TABLE XXIV —12 Canum Vcnaticorum. 


1 




h id 
E.A. 12 49.9. 


O 1 

Dec. + 39 J. 


Upper transit at fictitious meridian. 


1 




A a 




A o<> 


Side- 
real 


A Q a 


A Q<* 


A Q a 


A Q<5 


Sidereal Day. 


Mean Day. 








Day. 










1870. 


Var. in 

10 y. 


Diff. for 
]0d. 


1870. 


Var, in 
10 y. 


Diff. for 
10 d. 




1865. 

6 " 


1873. 

8 " 



















100 


+0.191 
+0.090 


—2.42 
1.79 


—0.610+4.85 


















0.525 


4.36 






s 






u 






200 


—0.013 


1.15 


0.436 


3.85 


0,Jan. 


— 0.25 


—0.114 


— 4 


+392 


—13.93 


+ 2 


—190 


300 


0.115 


—0.50 


0.343 


3 30 


10 


+ 9.73 


+0.278 


4 


389 


15.60 


2 


143 


400 


0.217 


+0.16 


0.248 


2.73 


20 


19.70 


0.661 


4 


374 


16.77 


+ 1 


91 








30 


29.67 


1.023 


4 


348 


17.41 





— 37 




1866. 


1874. 


Feb. 9 


8.65 


L354 


3 


312 


17.51 


— 1 


+ 15 



























—0.182 


—0.06 


—0.281 


+2.92 


19 


18.62 


1.644 


3 


268 


17.11 


1 


65 


100 


0.283 


+0.60 


0.184 


2.34 


Mar. 1 


59 


1.888 


3 


229 


16.22 


2 


112 


200 


0.381 


1.25 


—0.086 


1.73 


11 


10.56 


2.082 


3 


167 


14.90 


2 


151 


300 


0.475 


1.90 


+0.012 


1.11 


21 


20.54 


2.223 


2 


116 


13 23 


2 


181 


400 


0.566 


2.52 


0.110 


0.48 


31 


30.51 


2.315 


2 


67 


11.31 


2 


203 




1867. 


1875. 


100, Apr. 10 


9.48 


2.359 


1 


+ 21 


9.20 


3 


217 





—0.536 


+2.32 


+0.076 4-0.69 


| 20 


19.45 


2.359 


— 1 


— 21 


7.01 


3 


220 


100 


0.623 


2.93 


0.175 


+0.06 


30 


29.43 


2.319 





57 


4.84 


3 


213 


200 


0.705 


3.51 


0.271 


—0.57 


May 10 


9.40 


2.246 





88 


2.78 


2 


199 


300 


0.781 


4.07 


0.384 


1.19 


20 

i 


19.37 


2.144 


+ 1 


113 


— 0.88 


2 


179 


400 


0.849 


4.59 


0.455 


1.80 


30 


29.35 


2.021 


1 


133 


+ 0.79 


2 


154 




1868 B. 


1876 B. 


June 9 


8.32 


1.879 


2 


149 


2.18 


2 


124 








19 


18.29 


1.724 


2 


159 


3.25 


2 


89 





—0.827 


+4.42 


+0.425 


— 1 60 


29 


28.26 


1.563 


3 


165 


3.95 


1 


52 


100 


0.891 


4.91 


0.513 


2.20 


July 9 


8.24 


1.396 


3 


168 


4.28 


— 1 


+ 15 


200 
300 


0.947 
0.994 


5.36 
5.76 


597 
0.676 


2.79 
3.35 


200, 19 


18.21 


1.229 


3 


165 


4.24 





— 23 


400 


1.033 


6.11 


0.750 


3.89 


29 


28.18 


1.067 


3 


157 


3.81 





62 








i Aug. 8 


7.15 


0.916 


2 


144 


2.99 





100 




1869. 


1877. 


18 

28 


17.13 
*7.10 


0.781 
0.664 


2 
2 


127 
105 


1.81 

+ 0.28 


+ 1 

1 


136 
170 




100 


—1.021 
1.054 


+6.00 
6.32 


+0.725 
0.795 


—3.72 
4.24 


Sept. 7 


6.07 


0.573 


1 


75 


— 1.59 


2 


203 


200 
300 


1.077 
1.091 


6.58 

6.78 


0.858 
0.914 


4.72 
5.16 


17 


16.04 


0.516 


+ 1 


— 39 


3.77 


3 


234 


400 


1.096 


6.92 


0.963 


5.f>7 


27 


26.02 


0.497 





+ 2 


6.25 


4 


260 








i Oct. 7 


5.99 


0.521 





• 49 


8.95 


4 


280 




1870. 


1878. 


17 


15.96 


0.596 


— 1 


99 


11.84 


4 


298 



























-1.096 


+6.88 


+0.947 


-5.43 


■ 300, 27 


25.94 


0.720 


1 


150 


14.89 


4 


310 


100 


1.094 


6.98 


0.991 


5.81 


Nov. 6 


4.91 


0.897 


2 


203 


18.02 


4 


315 


200 


1.0H5 


7.02 


1.02<> 


6 13 


16 


14.88 


1.126 


2 


255 


21.17 


4 


312 


300 


1.063 


7.01 


1.053 


6.41 


25 


24.85 


1.4(5 


3 


301 


24.23 


4 


300 


400 


1.034 


6.93 


1.072 


6 63 


Dec. 6 


4.83 


1.726 


4 


340 


27.15 


4 


281 




1871. 


1879. 


16 
26 
36 


14.80 
24.77 
34.74 


2.083 

2.461 

+2.851 


4 
5 

— 5 


369 

386 
+392 


29.83 

32.18 

—34.13 


4 
3 


253 

216 

-173 



100 
200 


—1.045 
1.009 
0.966 


+6.96 
6.84 
6.67 


+ 1.066 
1.079 

1.082 


—6.56 
6.75 

6.88 












300 
4-00 


0.914 


6.44 


1.077 


6.95 










0!S54 


o! 14 


L063 


6^97 












1S72 B. 


1S80 B. 




* 


6 0, Oct. 6.5 












* 


d Mean Sun, Oct. 3.5 







—0.875 


+6 25 


+1.068 


-6.97 










100 


0.811 


5.93 


1.04b 


6.95 










200 


0.740 


5.56 


1.019 


6.87 










300 


0.664 


5 15 


0.980 


6.73 











400 


—0.582 


+4.69 


+0.931 


—6.53 



SPECIAL TABLES. 



165 









TABLE XXIV.- 


Virginis. 






h m 
R.A. 13 3.2. 




o / 
Dec. — 4 51. 


Upper transit at fictitious meridian. 








A Q a 




A <? 


Side- 

| real 


A Q a 


A Q d 


A n o. AqcS 


Sidereal Day. 


MeanDay. 










Day. 






I 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in Diff. for 
10 y. t 10 d. 




1865. 

s " 


1873. 

s " 














I 



100 


+0.681 
0.600 


—1.94 
1.30 


— 0.94d+4.5l 
0.901 3 99 














1 






s 






// 


1 


200 


0.515—0.64 


0.846 


3.44 


0,Jan. 


— 0.24 


—0.135 


— 3 


+333 


+ 0,32 


+ 2 —209 


300 


0.425+0.03 


0.783 2.87 


10 


+ 9.74 


+0.197 


3 


33* 


— 1.77 


3 


208 


400 


0.330| 0.69 


0.715, 2.27 


20 


19.71 


0.523 


3 


317 


3.83 


3 


199 








30 


29.68 


0.829 


3 


294 


5.74 


2 


184 




1866. 


1874. 


Feb. 9 


8.65 


1.110 


2 


266 


7.50 


2 


165 





+0.362 


+0.47 


—0.738 


+2.47 


19 


18.63 


1.361 


2 


232 


9.03 


2 


140 


100 


0.266 


l.y.i 


606 


1.86 


Mar. 1 


0.60 


1.573 


1 


195 


10.30 


2 


115 


200 


0.168 


1.78 


0.588 


1.24 


11 
21 


10.57 

20.55 


1.750 

1.889 


— 1 




158 
122 


11.33 
12.11 


1 
1 


91 
65 


300 

400 


+0.06b 
—0.033 


2.42 

3.04 


0.505 
0.419 


+0.61 
—0.03 


31 


30.52 


1.994 





87 


12.62 


+ 1 


40 




1867. 


1875. 


100, Apr. 10 


9.49 


2.063 





54 


12.90 





— 19 





+0.001 


+2.83 


-0.448+0.18 
0.359—0.46 


20 


19.46 


2.103 


+ 1 


+ 25 


12.99 








100 


-0.099 


3.43 


30 


29.44 


2.114 


2 


— 1 


12.90 





+ 16 


200 


0.199 


4.00 


0.268] 1.09 


May 10 


9.41 


2.101 


3 


24 


12.67 





29 


300 


0.297 


4.53 


0.174 1.71 


20 


19.38 


2.067 


3 


44 


12.32 





40 


400 


0.392 


5.03 


0.078| 2.32 


30 


29.35 


2.013 


3 


61 


11.87 


_ 1 


48 




1868 B. 


1876 IS. 


June 9 


8.33 


1.943 


3 


76 


11.36 




54 








19 


18.30 


1.862 


3 


88 


10.79 




58 





—0.360 


+4.8? 


-0.111-2 12 


29 


28.27 


1.770 


3 


97 


10.20 




61 


100 


0.453 


5.33 


—0.015, 2.71 


July 9 


8.25 


1.668 


3 


105 


9.58 




62 


200 
300 


0.541 
0.625 


5.75 
6.11 


+0.08H 3.29 i 
0.176 3 84 ! 


200, 19 


18.22 


1561 


3 


109 


8.96 




62 


400 


0.703 


6.42 


0.270 4.35 


29 


28.19 


1.451 


3 


109 


8.35 




59 








Aug. 8 


7.16 


1.343 


3 


104 


7.79 




53 




1869. 


1877. 


18 


17.14 


1.244 


3 


93 


7.30 




45 





—0.678 


+6.33 


+0.2391—4.19 


28 


27.11 


1.158 


2 


77 


6.89 


— 1 


35 


100 

200 


0.752 

0.819 


6.60 

6.82 


0.331 4.68 
0.42l| 5.14 


Sept. 7 


6.08 


1.091 


2 


56 


6.60 





21 


300 


0.879 


6.98 


0.508! 5.55 


17 


16.05 


1.047 


1 


— 28 


6.47 





+ 4 


400 


0.932 


7.07 


0.591 5.92 


27 


26.03 


1.036 


+ 1 


+ 7 


6.52 





- 15 








Oct 7 


6.00 


1.062 





46 


6.76 





37 




1870. 


1878. 


17 


15.97 


1.129 





88 


7.26 





63 



























—0.915 


+7.05| 


+0.563—5.80 


300, 27 


25.94 


1.240 





134 


8.02 


+ 1 

2 


89 


100 


0.902 


7.10 


0.643' 6.14 


Nov. 6 


4.92 


1.398 


— 1 


181 


9.05 


117 


200 


1.001 


7.10 


0.717! 6.43 


16 


14.89 


1.601 


1 


224 


10.35 


2 


143 


300 


1.031 


7.03 


0.786 ; (5.66 


26 


24.86 


1.845 


2 


263 


11.91 


2 


167 


400 


1.052 


6.90| 


0.849: 6.84 


Dec. 6 


4.84 


2.124 


2 


295 


13.68 


3 


186 




1871. 


1879. 


16 
26 
36 


14.81 

24.78 
34.75 


2.432 

2.757 
+3.091 


2 

3 

— 3 


318 

331 

+334 


15.62 

17.68 
—19 78 


3 
4 

+ 4 


201 

209 

—210 



100 
200 
300 
400 


—1.045 
1.060 
1.066 
1.063 
1.051 


+6.95 
6.78 
6.56 
6.28 

5.95 


+0.828 
0.886 
0.937 
0.980 
1.015 


—6.78 
6.93 
7.01 
7.04 
7.01 
















* ( 


3 0, 


Oct. 10 


.1. 






1873B. 


1S80 B. 




* < 


3 Mean S 


un, Oct. 6 


.8. 




C 


—1.056+6.07 


+ 1. 004 j— 7.03 














100 


1.038 


5.70 


1.033 6.95 


II 












200 


1.012 


5.29 


1.054 6.62 














300 


0.977 


4.84 


1.0651 6.64 j 














400 


—0.933+4.35 


+ I.068J— 6.o9 | 



166 






SPECIAL TABLES 
















TABLE XXIV.- 


£ Virginia. 






h m 
R.A. 13 28.1. 




Dec. + 4. 


Upper transit at fictitious meridian. 






A Q a 




A o J 


Side- 
real 


A Q a 


A Q<* 


A Q a 


A a d 


Sidereal Day. 


Mean Day. 








Day. 
































1870. 


Var. in 

10 y. 


Diff. for 

10 d. 


187©. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 

8 " 



















100 


+0.633 
0.551 


—1.03 
-0.35 


—0.915 
0.864 


+3.84 
3.26 






















s 






// 






200 


0.464 


+0.33 


0.805 


2.66 


0, Jan. 


— 0.22 


—0.282 


— 3 


+329 


— 1.35 


+ 2 


—213 


300 


0.373 


1.01 


0.740 


2.04 


30 


+ 9.75 


+0.048 


3 


329 


3.45 


2 


205 


400 


0.27c 


1.68 


0.669 


1.40 


20 


19.73 


0.374 


3 


321 


5.43 


2 


190 








30 


29.70 


0.687 


3 


304 


7.24 


3 


171 




1860. 


1874. 


Feb. 9 


8.67 


0.979 


3 


279 


8.83 


3 


147 





+0.310+1.45 


— 0.694'+1.61 
0.6191 0.97 


19 


18 65 


1.244 


2 


249 


10.16 


2 


119 


100 


0.214 


2.12 


Mar. 1 


0.62 


1.476 


g 


215 


1J.21 


2 


90 


200 


0.116 


2.76 


0.539|+0.31 


11 


10.59 


1.673 


1 


180 


11.97 


] 


61 


300 


+0.017 


3.38 


0.455—0.34 


21 


20.56 


1.835 


1 


144 


12.44 


1 


33 


400 


—0.083 


3.97 


0.368; 0.99 


31 


30.54 


1.962 


— 1 


109 


12.64 


+ 1 


— 8 




1867. 


1875. 


LOO, Apr. 10 


9.51 


2.054 





77 


12.61 





+ 14 





—0.049 


+3.78 


—0.398 


-0.77 


20 


19.48 


2.117 





48 


12.37 





33 


100 


0.148 


4.34 


0.308 


1.42 


30 


29.45 


2.150 


+ 1 


+ 20 


11.97 





47 


200 


0.246 


4.87 


0.216 


2.05 


May 10 


9.43 


2.157 


2 


— 5 


11.44 





59 


300 


0.342 


5.36 


0.123 


2.67 


20 


19.40 


2.141 


2 


27 


10.80 





66 


400 


0.434 


5.80 


0.028 


3 26 


30 


29.37 


2.104 


2 


47 


10.12 





69 




186811. 


1876 B. 


June 9 


8.34 


2.047 


3 


66 


9.42 





71 








19 


18.32 


1.973 


3 


81 


8.71 





71 





-0.403 


+5.66 


—0 060 


—3.07 


29 


28.29 


1.886 


3 


94 


8.01 





68 


100 


0.493 


6.06 


+0.035 


3.64 


July 9 


8.26 


1.786 


3 


105 


7.36 





63 


200 
300 


0.579 
0.659 


6.42 
6.7J 


0.J 30 
0.223 


4.19 

4.70 


200, 19 


18.24 


1.677 


3 


113 


6.76 





57 


400 


0.734 


6 95 


0.315 


5.17 


29 


28.21 


1.562 


3 


116 


6.23 


— 1 


49 








Aug. 8 


7.18 


1.446 


3 


115 


5.78 


1 


39 




1869. 


1877. 


18 

28 


17.15 
27.13 


1.334 
1.232 


3 

2 


108 
95 


5.44 
5.23 


— 1 




27 
+ 14 



100 
200 


—0.709 
0.779 

0.842 


+6.88 
7.08 
7.21 


+0.284 
0.374 
0.462 


—5.02 
5.47 

5.87 


Sept. 7 


6.10 


1.145 


2 


77 


5.17 





— 3 


300 


0.89c 


7.28 


0.545 


6.23 


17 


16.07 


1.080 


2 


52 


5.30 


+ 1 


22 


400 


0.945 


7.29 


0.625 


6.53 


27 


26.04 


1.044 


1 


— 18 


5.61 


1 


42 










Oct. 7 


6.02 


1.045 


+ 1 


+ 20 


6.14 


1 


65 




1870. 


1878. 


17 


15.99 


1.085 





62 


6.91 


2 


89 



























— 0.930i+7.29 


+0.599 


-6.43 


300, 27 


25.96 


1.170 





108 


7.93 


2 


115 


100 


0.973| 7.26 
1.006 7.16 


0.675 


6.70 


Nov. 6 


4.94 


1.301 


— 1 


153 


9.21 


2 


140 


200 


0.745 


6.91 


16 


14.91 


1.477 


1 


199 


10.73 


3 


164 


300 


1.031 7.00 


0.810 


7.07 


26 


24.88 


1.699 


1 


241 


12.47 


3 


184 


400 


1.048' C.79 


0.868 


7.17 


Dec. 6 


4.85 


1.958 


2 


277 


14.39 


3 


199 




1871. 


1879. 


16 

26 
36 


14.83 

24.80 
34.77 


2.251 

2.566 

+2.894 


2 

3 

— 3 


305 

323 

+330 


16.43 

18.54 

—20.67 


3 
3 

+ 4 


2C8 

213 

—210 



100 
200 


— 1 043 
1.053 

1.055 


+6.87 
6.61 
6.30 


+0.849'— 7.14 
0.903 7.20 
0.949| 7.20 
















300 


1.047 


5.94 


0.987! 7.14 












400 


1.031 


5.52 


1.017 7.01 














1 872 15. 


I88OR. 




* 


6 0, Oct. If 


1.8. 












* 


6 Mean Sun, Oct. K 


1.1. 





100 
200 
300 

400 


—1.037 
1.015 
0.984 
0.945 

—0.899 


+5.67 
5.23 
4.74 
4.22 

+3.66 


+ 1.0081—7.06 
1 0321 6.90 
1.048 6.68 
1.055| 6.40 

+ 1.0531-6.07 



SPECIAL TABLES. 



167 









TABLE XXIV.- 


-n Bootis. 








h m 
R.A. 13 48.5. 


O 1 

Dec. + 19 3. 




Upper transit at fictitious meridian. 










A©a 




A 0<5 


Side 
real 


A Q a 


A ^ 


A Q« 


^ 




Sidereal Day. 


Mean Day. 










Day 












187©. 


Var. in 
10 y. 


Diff. for 
10 d. 


i87o. 


Var. in 
10 y. 


Diff. foi 
10 d. 




1865. 

s " 


1873. 

s " 





















100 


+0.437 
0.351 


—0.27 
+0.43 


—0.762 

0.699 


+3.26 
2.64 


























8 






// 






200 


0.261 


1.12 


0.631 


1.99 




0,Jan. 


— 0.20 


—0.436 


— 3 


+331 


— 7.54 


+ 2 


—234 


300 


0.169 


1.80 


0.558 


1.33 




10 


+ 9.77 


—0.101 


3 


338 


9.75 


2 


207 


400 


0.075 


2.4? 


0.480 


0.67 




20 


19.74 


+0.236 


3 


335 


11.67 


2 


174 










30 


29.71 


0.566 


3 


322 


13.22 


2 


135 




1866. 


187 4. 




Feb. 9 


8.69 


0.877 


3 


299 


14.36 


2 


93 





























+0.107 


+2.25 


—0.507 


+0.89 j 




19 


18.66 


1.162 


3 


271 


15.08 


+ 1 




50 


100 


+0.013 


2.91 


0.426 


+0.22 ' 




Mar. 1 


0.63 


1.417 


2 


239 


15.37 


— 8 


200 


—0.081 


3.54 


0.343 


—0.45 ! 




11 


10.60 


1.638 


2 


203 


15.23 





+ 33 
69 


300 


0.175 


4.14 


0.257 


1.12 | 




21 


20.58 


1.823 


2 


166 


14.71 




400 


0.267 


4.70 


0.168 


1.77 J 




31 


30.55 


1.970 


1 


129 


13.86 




100 




1S67. 


1875. 




100, Apr. 10 


9.52 


2.081 


— 1 


93 


12.73 




124 





—0.236 +4.52 


—0.198 


—1.56 | 




20 


19.50 


2.157 





60 


11.40 




141 


100 


0.327 


5.06 


0.109 


2.20 1 




30 


29.47 


2.201 





+ 29 


9.93 




152 


200 


0.415 


5.55 


—0.019 


2.83 




May 10 


9.44 


2.215 








8.38 




155 


300 


0.499 


5.99 


+0.071 


3.43 1 




20 


19.41 


2,201 


+ 1 


— 27 


6.84 




153 


400 


0.578 


6.39 


0.160 


4.01 




( 30 


29.39 


2.162 


2 


50 


5.33 




145 




1868 B. 


1876 B. I 




! June 9 


8.36 


2.102 


2 


72 


3.95 




131 










1 19 


18.33 


2.019 


3 


90 


2.71 




116 





—0.552 


+6.26 


+0.130 


—3.82 ! 




29 


28.30 


1.922 


3 


105 


1.64 




96 


100 


0.628 


6.62 


0.219 


4.37 ! 




July 9 


8.28 


1.809 


3 


119 


0.80 




73 


200 
300 


0.699 
0.763 


6.91 
7.15 


0.306 
0.390 


4.89 ! 
5.37 ; 




200, 19 


18.25 


1.685 


3 


130 


— 0.18 


j 


49 


400 


0.821 


7.32 


0.471 


5.80 ; 




29 


28.22 


1.551 


3 


137 


+ 0.18 




+ 23 






j 




Aug. 8 


7.19 


1.414 


3 


136 


0.28 




— 3 




I860. 


1877. ! 




18 
28 


17.17 
27.14 


1.281 
1.155 


3 
3 


130 
120 


+ 0.11 
— 0.34 


+ 1 


31 

60 



100 


—0.802 
0.855 


+7.27 
7.40 


+0.444 
0.523 


—5.67 ! 
6.07 i 




Sept. 7 


C.ll 


1.043 


2 


103 


1.09 




89 


200 
300 


0.901 
0.938 


7.47 
7.4? 


0.598 
0.66? 


6.42 1 
6.72 ! 




17 


16.09 


0.951 


2 


79 


2.11 




117 


400 


0.967 


7.40 


0.732 


6.97 : 




27 


26.06 


0.886 


2 


47 


3.42 


2 


145 










Oct. 7 


6.03 


0.858 


1 


- 9 


5.00 


2 


172 




1870. 


1S7S. 




17 


16.00 


0.869 


+ 1 


+ 33 


6.86 


3 


198 





























—0.958 


+7.43 


+0.710 


—6.89 




300, ^ 27 


25.98 


0.925 





80 


8.96 


3 


221 


100 


0.982 


7.32 


0.7? J 


7.10 i 




Nov. 6 


4.95 


1.029 





129 


11 26 


3 


241 


200 


0.99? 


7.15 


0.825 


7.25 ! 




16 


14.92 


1.183 


— 1 


178 


13.76 


3 


257 


300 


1.004 


6.92 


0.873 


7.34 ! 




26 


24.89 


1.384 


1 


223 


16.37 


4 


265 


400 


1.002 


6.64 


0.913 


7.37 ! 




Dec. 6 


4.87 


1.628 


2 


264 


19.03 


4 


266 




1871. 


1879. 




16 

I 26 

36 


14.84 
24.81 
34.79 


1.909 

2.219 

+2.547 


2 

3 

— 3 


297 

320 

+334 


21.66 

24.22 

—26.58 


+ 4 


261 

247 

—224 



100 
200 


—1.003 
0.996 
0.979 


+6.74 
6.41 
6.03 


+0.900 
0.936 
0.964 


-7.37 ; 

7.36 

7.28 : 












1 


1 


300 


0.955 


5.60 
5.. 13 


0.984 
0.995 


7.15 ! 

6.96 i 














400 


0^922 
















1872 B. 


1S80B. 






* 


6 0, 


Oct. 22.2. 








I 






* 


3 Mean £ 


kin, Oct. 18.3. 






100 
200 
300 


-0.934 

0.897 
0.852 
0.800 


+5.29 
4.79 
4.24 
3.67 


+0.992 
0.998 
0.996 
0.965 


—7.03 ! 
6.80 i 
6.51 ; 
6.J6 ; 
















400 


-0.741 +3.06 


+0.966—5.76 j 

_i 





168 



SPECIAL TABLES. 









TABLE XXIV.—/* Centauri. 






h m 
E.A. 13 54.7. 




o / 

Dec. — 59 45. 


Upper transit at fictitious meridian. 
















Side- 
















^O a 




A Q d 




real 


A Q a 


A ^ 


A Q a 


^ 6 


Sidereal Day. 


MeaoDay. 












Day. 
































1870. 


Var. in 

10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s 


1873. 

s 



















100 


+ 1.609 
1.547 


—0.04 
+0.66 


—1.692 
1.693 


+3.08 
2.44 






















8 






II 






200 


1.470 


1.35 


1.680 


1.78 


0,Jan. 


— 0.20 


—0.822 


—10 


+564 


+16.01 


— 1 


— 50 


300 


1.381 


2.04 


1.654 


1.12 


10 


+ 9.77 


-0.252 


8 


572 


15.25 





100 


400 


1.280 


2.71 


1.614 


0.44 


20 


19.75 


+0.318 


7 


566 


14.02 


+ 1 


146 








30 


29.72 


0.875 


6 


544 


12.34 


3 


188 




1866. 


1871. 


Feb. 9 


8.69 


1.402 


5 


510 


10.27 


4 


224 
























+ 1 ! 


—1.628+0.67 


39 


18.66 


1.891 


3 


466 


7.88 


4 


253 


100 


1.206 


3.14 


1.580 


—0.01 


Mar. 1 


0.64 


2.332 


— 2 


415 


5.23 


5 


276 


200 


1.086 


3.77 


1.518 


0.69 


11 


10.61 


2.719 





358 


+ 2.39 


5 


292 


300 


0.957 


4.36 


1.444 


1.35 


21 


20.58 


3.047 


+ 1 


299 


— 0.58 


6 


301 


400 


0.820 


4.91 


—1.3581 2.01 


31 


30.55 


3.316 


3 


239 


3.61 


6 


304 




1867. 


1875. 


100, Apr. 10 


9.53 


3.525 


5 


179 


6.64 


6 


300 





+0.367 


+4.73 


—1.388 


—1.79 


20 


19.50 


3.674 


6 


119 


9.60 


6 


291 


100 


0.725 


5.26 


1.295 


2.44 


30 


29.47 


3.763 


8 


60 


12.45 


6 


277 


200 


0.576 


5.74 


1.191 


3.06 


May 10 


9.44 


3.794 


9 


+ 2 


15.13 


5 


259 


300 


0.422 


6.17 


1.077 


3.66 


20 


19.42 


3.768 


10 


— 54 


17.61 


5 


234 


400 


0.265 


6.55 


0.954 


4.23 


30 


29.39 


3.686 


11 


108 


19.79 


5 


204 




1868 B. 


1876 B. 


June 9 


8.36 


3.553 


12 


158 


21.68 


4 


172 








19 


18.34 


3.372 


13 


203 


23.21 


3 


134 





+0.318 


+6.43 


—0.996 


—4.04 


29 


28.31 


3.148 


13 


243 


24.35 


2 


94 


100 


+0.160 


6.77 


0.869 


4.59 


July 9 


8.28 


2.887 


13 


275 


25.08 


1 


51 


200 
300 


0.000 
—0.160 


7.05 
7.27 


0.734 

0.59* 


5.10 
5.57 


200, 19 


18.25 


2.600 


12 


300 


25.36 


+ 1 


— 6 


400 


0.317 


7.42 


0.446 


6.00 


29 


28.23 


2.291 


12 


315 


25.19 





+ 40 






1 


Aug. 8 


7.20 


1.974 


11 


317 


24.57 





84 




1869. 


1877. 


18 
28 


17.17 
27.14 


1.662 
1.369 


10 
9 


305 
280 


23.52 

22.09 


— 1 

2 


125 
162 



100 
200 


-0.2651+7.38 
0.420 7.49 
0.573 7.53 


—0.496 
0.347 
0.195 


— 5.8C 
6.25 

6.58 


Sept. 7 


6.12 


1.107 


8 


240 


20.30 


2 


194 


300 


0.720 7.51 


—0.041 


6.87 


17 


16.09 


0.893 


7 


186 


18.23 


2 


219 


400 


0.858| 7.43 


+0.114 


7.10 


27 


26.06 


0.738 


6 


120 


15.94 


3 


2.36 








Oct. 7 


6.04 


0.656 


5 


— 42 


13.54 


3 


243 




1870. 


1878. 


17 


16.01 


0.656 


4 


+ 43 


11.12 


3 


240 



























—0.813 


+7.46 


+0.061 


—7.03 


300, 27 


25.98 


0.744 


2 


134 


8.77 


3 


227 


100 


0.948 


7.33 


0.216 


7.21 


Nov. 6 


4.95 


0.924 


+ 1 


225 


6.61 


3 


204 


200 


1.074 


7.14 


0.368 


7.34 


16 


14.93 


1.192 


— 1 


312 


4.72 


2 


171 


300 


1.191 


6.89 


0.519 


7.42 


26 


24.90 


1.545 


1 


392 


3.22 


— 1 


130 


400 


1.297 


6.58 


0.666 


7.42 


Dec. 6 


4.87 


1.972 


1 


459 


2.14 





85 




1871. 


1879. 


16 
26 
36 


14.84 

24.82 
34.79 


2.459 

2.991 

+3.552 


1 

1 

— 1 


512 

549 
+569 


1.54 

1.46 

— 1.88 


+ 1 

2 

+ 3 


+ 34 
— 17 

-67 



100 
200 


—1.263 
1.362 
1.449 


+6.69 
6.34 
5.94 


+0.616—7.43 
0.759 7.39 
0.896J 7.30 
1.026 7.14 
1.147] 6.93 


















300 
400 


1.523 

1.585 


5.49 
5.00 
















! 
















1872 B. 


1880 B. 


. 


* 


6 0, 


Oct. 2 


3.9. 












: 


* 


6 Mean 


Sun, Oct. IS 


).9. 






0—1.56 


+5.17 


+1.107—7.01 


1 














100 1.618 


4.65 


1.223 


6.75 
















200 1.657 


4.08 


1.3 m 


6.44 
















300 1.682 


3.49| 


1.423 


6.07 


j 














400—1.693 


+2.87j +1.506 —5.65 

i 



SPECIAL TABLES. 



169 





TABLE XXIV.-* 


a Draconis. 




h m 
R.A. 14 0.9. 


o / 

Dec. + 65 0. 


1 

Upper transit at fictitious meridian. 






A Q a 




V 


Side- 
real 


A a a 


A ^ 


A ^ a 


A ^ 


Sidereal Day. 










Day. 










Ale mi 13 ay. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


! 


1865. 

s 


1873. 

s " 


















1 o 

1 100 


—0.588 
0.692 


+0.19 
0.90 


+0.064 +2.90 


















0.J 79 


2.25 






s 






a 






! 200 


0.789 


1.60 


0.293 


1.59 


0,Jan. 


— 0.19 


-1.217 


— 2 


+563 


—17.69 


+ 2 


—227 


! 300 


0.880 


2.28 


0.404 


0.91 


10 


+ 9 78 


0.636 


3 


596 


19.68 


1 


170 


400 


0.963 


2.95 


0.511 


0.23 


20 


19.75 


—0.031 


4 


609 


21.07 


+ 1 


106 








30 


29.72 


+0.576 


5 


601 


21.79 





— 39 




1866. 


1874. 


Feb. 9 


8.70 


1.165 


5 


573 


21.85 





+ 27 

























— 0.9361+2.73 


+0.475 +0.47 


19 


18.67 


1.716 


6 


527 


21.25 


— 1 


92 


[ 100 


1.014 


3.38 


0.579 


-0.23 


Mar. 1 


0.64 


2.213 


6 


465 


20.03 


1 


151 


' 200 


1.083 


4.00 


0.678 


0.91 


11 


10.62 


2.642 


6 


391 


18.26 


2 


' 203 


300 


1.142 


4.58 


0.772 


1.58 


21 


20.59 


2.992 


6 


308 


16.01 


2 


245 


1 400 


1.193 


5.13 


0.859 


2.24 


31 


30.56 


3.256 


6 


220 


J 3. 39 


2 


277 


1 
1 


1867. 


1875. 


100, Apr. 10 


9.53 


3.430 


6 


129 


10.51 


2 


297 


1 o 


— 1.176 4-4.95 


+0.830—2.01 


20 


19.51 


3.515 


5 


+ 41 


7.49 


2 


306 


! 100 


1.219 


5.47 


912 


2.66 


30 


29.48 


3.514 


5 


— 44 


4.44 


2 


302 


; 200 


1.251 


5.94 


0.987 


3.28 


May 10 


9.45 


3.430 


4 


123 


— 1.47 


2 


289 


; 300 


1.272 


6.35 


1.053 


3.88 


20 


19.42 


3.270 


3 


195 


-f 1.31 


2 


266 


j 400 


1.282 


6.72 


1.111 


4.44 


30 


29.40 


3.043 


2 


258 


3.81 


2 


234 




1868 B. 


1876 B. 


June 9 


8.37 


2.757 


— 1 


312 


5.96 


1 


195 


I 






19 


18.34 


2.422 





357 


7.70 


1 


151 


o 


—1.280+6.60 


+1.092—4.26 


29 


28.31 


2.047 


+ 1 


391 


8.97 


— 1 


103 


: 100 


1.282 


6.92 


1.144 


4.79 


July 9 


8.29 


1.642 


2 


416 


9.75 





+ 52 


j 200 
| 300 


1.274 
1.254 


7.18 
7.38 


1.187 
1.219 


5.29 
5.75 


200, 19 


18.26 


1.219 


3 


430 


10.01 








i 400 


1.223 


7.52 


1.241 


6.16 


29 


28.23 


0.786 


4 


434 


9.75 





— 52 


j 






Aug. 8 


7.20 


+0.354 


5 


427 


8.98 


+ 1 


103 




1869. 


1877. 


18 

28 


17.18 
27.15 


—0.065 
0.460 


5 

6 


409 
380 


7.70 
5.93 


1 

2 


153 

200 




i 100 


—1.235 
1.197 


+7.48 
7.57 


+1.235 
1.250 


—6.03 
6.40 


Sept. 7 


6.12 


0.821 


6 


340 


3.72 


2 


243 


i 200 
| 300 


1.149 

1.092 


7.59 

7.55 


1.256 
1 .251 


6.73 

6.99 


17 


16.10 


1.136 


7 


287 


+ 1.09 


3 


282 


400 


1.025 


7.44 


1.236 


7.21 


27 


26.07 


1.392 


6 


224 


— 1.91 


3 


316 








Oct. 7 


6.04 


1.580 


6 


151 


5.22 


3 


345 


1 


1870. 


1S78. 


17 


16.01 


1.690 


6 


- 68 


8.78 


3 


366 


1 






















o 


—1.048 


+7.49 


+1.242 


—7.14 


300, 27 


25.99 


1.714 


5 


+ 22 


12.51 


4 


380 


| 100 


0.976 


7.34 


1.220 


7.31 


Nov. 6 


4.96 


1.645 


5 


116 


16.34 


4 


385 


| 200 


0.894 


7.12 


1.188 


7.42 


16 


14.93 


1.481 


4 


212 


20.17 


4 


380 


1 300 


0.806 


6.85 


1.146 


7.48 


26 


24.90 


1.222 


3 


306 


23.91 


4 


366 


j 400 


0.711 


6.52 


1.094 


7.47 


Dec. 6 


4.88 


0.871 


2 


393 


27.45 


4 


341 




1871. 


' 1879. 


16 
26 

36 


14.85 

24.82 
34.80 


—0.439 

+0.064 
+0.620 


+ 1 



— 1 


470 

532 

+577 


30.69 

33.52 

—35.87 


3 
3 

+ 3 


305 

260 
—207 


j 
1 100 
; 200 


—0.744 
0.644 

0.540 


+6.64 
6.27 
5.85 


1 
+1.113 

1 .055 
0.98S 


—7.48 
7.42 
7.31 
















300 


0.432 


5.3H 


0.913 


7.13 


■ 






400 


o'.320 


4.86 


0^830 


6^90 










1872 B. 


1880 B. 




* 8 Mean Sun, April 21.8. 










1 


* d 0, Oct. 25.5. 







—0.358 


+5.04 


1+0.859—6.98 




# 6 Mean Sun, Oct. 21.4. 




100 
200 


0.244 
0.129 


4.50 
3.93 


0.771 
0.676 


6.71 

6.37 






300 


—0.013 


3.32 


0.575 


5.99 








400+0.103+2.68 


+0.470 
1 


—5.55 



170 



SPECIAL TABLES. 









TABLE XXIV.- 


-0 Boot is. 






h m 

R.A. 14 20.8. 


o * 

D6c. + 52 27. 


Upper transit at fictitious meridian. 


Sidereal Day. 


Mean Day 


A^a 


A <5 


'Side- 
real 
Day. 


A tt n 


A o^ 


A Q a 


A Q d 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff for 
10 d. 


| 

i 


1865. 

8 " 


I 

| 1873. 

8 




















i 100 


—0.103 
0.193 


+0.93 
1.65 


—0.302 
0.217 


+2.29 
1.61 






















B 






// 






I 200 


0.281 


2.35 


0.130 


91 


0, Jan. 


— 0.18 


-1.005 


2 


+411 


—15.18 


+ 2 


-261 


! 300 


0.367 


3.03 


—0.042 


+0.21 


10 


+ 9.79 


0.580 


3 


437 


17.55 


2 


211 


| 400 


0.449 


3.69 


+0.045 


—0.50 


20 


19.76 


—0.135 


3 


449 


19.37 


2 


153 


l 






30 


29.74 


+0.314 


3 


446 


20.60 


+ I 


91 


i 


1866. 


1874. 


Feb. 9 


8.71 


0.753 


4 


430 


21.19 





— 27 





—0.422 


+3.47 


+0.016 


-0.26 


19 

Mar. 1 

11 

21 


18.68 

0.65 

10.63 

20.60 


1.170 
1.551 

1.888 
2.174 


4 
4 
4 
4 


401 
361 
313 

259 


21.14 

20.48 
19.23 

17.48 





— 1 

2 


+ 36 

96 

151 

198 


! ioo 

j 200 
! 300 
i 400 


0.502 
0.57a 
0.649 
0.714 


4.11 
4.71 
5.27 
5.79 


1 0.103 

i 0.190 

0.275 

j 0.357 


0.96 
1.65 
2.32 

2 98 


31 


30.57 


2.404 


3 


201 


15.29 


2 


236 




1867. 


1S75. 


100, Apr. 10 


9.54 


2.576 


3 


142 


12.79 


2 


264 





—0.693 


+5.62 


+0.328 


-2.76 


20 


19 52 


2.689 


2 


84 


10.05 


3 


281 


100 


754 


6.10 


1 0.410 


3.39 


30 


29.49 


2.744 


2 


+ 26 


7.21 


3 


285 


200 


0.808 


6.53 


| 0.486 


4.00 


May 10 


9.46 


2.743 


1 


— 27 


4.37 


2 


280 


I 300 


0.856 


6.90 


0.559 


4.58 


20 


19.44 


2.692 


— 1 


76 


— 1.63 


2 


266 


! 400 


0.896 


7.21 


0.627 


5.12 


30 


29.41 


2.592 





122 


+ 0.93 


2 


244 


1 

1 


1868 IS. 


1S76 B. 


June 9 


8.38 


2.450 





162 


3.22 


1 


213 


1 






19 


18.35 


2.269 


+ 1 


197 


5.17 


1 


177 


; 


—0.883+7.11 


+0.605—4.94 


29 


28.33 


2.057 


2 


227 


6.74 


— 1 


136 


! 100 


0.918; 7.38 


0.670! 5.45 


July 9 


8.30 


1.818 


2 


252 


7.88 





91 


' 200 


0.944 7.58 


0.729; 5.92 
















300 


0.963 7.72 


0.78* 6.34 


200, 19 


18.27 


1.556 


3 


269 


8.56 





+ 44 


; 400 


0.9731 7.79 


0.829 6.70 


29 


28.24 


1.283 


3 


278 


8.75 





— 4 








Aug. 8 


7.22 


1.002 


3 


282 


8.47 


+ 1 


52 




1869. 


1877. 


18 


17.19 


0.721 


3 


278 


7.71 


2 


100 


i G 


—0.970 


+7.77 


+0.81 3 1 — 6.59 


28 


27.16 


0.449 


3 


263 


6.47 


2 


147 


i 100 
! 200 


0.974 
0.970 


7 79 

7.75 


0.856, 6.91 
0.891 7.19 


Sept. 7 


6.14 


+0.197 


3 


240 


4.78 


2 


190 


! 300 


0.958 


7.64 


0.919! 7.40 


17 


16.11 


-0.028 


3 


. 208 


2.67 


2 


232 


! 400 


0.937 


7.46 


0.9401 7.55 


27 


26.08 


0.216 


3 


167 


+ 0.16 


3 


270 






1878. 


Oct. 7 


6.05 


0.360 


3 


117 


— 2.71 


3 


302 




1870. 


17 


16.03 


0.447 


2 


— 58 


5.88 


4 


330 
























! ° 


—0.945 


+7.53 


+0.934 — 7.51 


300, 27 


26.00 


0.474 


2 


+ 7 


9.30 


4 


352 


i 100 


0.919 


7.3; 


0.949 


r.62 


Nov. 6 


4.97 


0.432 


1 


76 


12.89 


5 


365 


; 200 


0.885 


7.03 


0.957 


7.67 


16 


14.94 


0.321 


+ 1 


147 


16.57 


5 


368 


i 300 


0.844 


6.69 


0.956 


7.65 


26 


24.92 


—0.138 





217 


20.23 


5 


364 


; 400 


0.795 


6. 29 


0.948 


7.58 


Dec. 6 


4.89 


+0.111 





282 


23.81 


4 


350 




1871. 


1879. 


16 

26 


14.86 
24.83 


0.423 

0.789 


— 1 

2 


340 

387 


27.19 
30.26 


4 
4 


324 

288 


i 
i 100 


—0.812 
0.759 


+6.43 
6.00 


+0.952 
0.939 


-7.61 
7.49 


36 


34.81 


+1.194 


- 3 


+422 


—32.92 


+ 3 


—243 


i 200 

j 300 

400 


0700 
0.635 
0.564 


5.51 
4.98 
4.41 


0.917 
0.888 

0.852 


7.31 
7.06 
6.76 
























1872 B. 


1880 B. 




* 


6 0, 


Oct. 30.6 












* 


(5 Mean { 


Sun, Oct. 26.5 





100 
200 
300 


—0.588+4.61 
0.515 4.02 
0.437 3 31) 
0.356| 2.74 


+0.8651—6.87 
0.823 6.52 
0.775 6.12 
0.720 5.67 












400 


—0.273+2.07 


+0.658;- 5.17 



SPECIAL TABLES. 



171 







TABLE XXIV.—* 5 Ursae Minoris. 




h m 
E.A. 14 27.8. 


/ 

Dec. + 76 16. 


Upper transit at fictitious meridian. 


Sidereal Day. 


Mean Day. 


A o rt 


A o< J 


Side- 
real 
Day. 


A ^ a 


A ^ 


A Q a 


A ^ 


1870. 


Var. in 

lOy. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 

8 




















100 


—1.678 

1.778 


+1.20 
1.92 


+ 1.034 
1J86 


+2 08 
1.38 






















s 






// 






200 


1.862 


2.62 


1.327 


+0.68 


0, Jan. 


— 0.18 


—2.803 


+ 9 


+847 


-17.65 





-239 


300 


1.931 


3.30 


1.45? 


—0.03 


10 


+ 9.80 


1.911 


7 


931 


19.76 





182 


400 


1.982 


3.95 


1.574 


0.74 


20 


19.77 


—0.951 


4 


982 


21.26 





118 








30 


29.74 


+ 0.042 


+ 2 


998 


22.11 





- 51 




1866. 


1871. 


Feb. 9 


8.72 


1.032 


— 1 


978 


22.28 





+ 17 



























—1.967 


+3.73 


+1.536 


—0.50 


19 


18.69 


1.985 


4 


923 


21.77 





83 


100 


2.007 


4.36 


1.645 


1.21 


Mar. 1 


0.66 


2.867 


7 


836 


20.63 





145 


200 


2.029 


4.96 


1.740 


1.90 


11 


10 63 


3.649 


9 


723 


18.89 





200 


300 


2.034 


5.5! 


1.820 


2.57 


21 


20.61 


4.305 


11 


588 


16.66 





245 


400 


2.021 


6.01 


1.886 


3.22 


31 


30.58 


4.819 


12 


437 


14.02 





280 




1867. 


1875. 


100, Apr. 10 


9.55 


5.176 


13 


277 


11.09 





304 





—2.028+5.85 


+1.865 


—3.01 


20 


19.52 


5.372 


14 


+114 


7.98 





316 


100 


2.003 


6.31 


1.920 


3.64 


30 


29.50 


5.405 


14 


— 47 


4.82 





315 


200 


1.961 


6.72 


1.960 


4.24 


May 10 


9.47 


5.280 


13 


201 


— 1.71 





304 


300 


1.902 


7.08 


1.983 


4.81 


20 


19.44 


5.006 


12 


345 


+ 1.23 





283 


400 


1.827 


7.37 


1.989 


5.34 


30 


29.42 


4.595 


11 


474 


3.91 





252 




1868 B. 


1876 B. 


June 9 


8.39 


4.063 


9 


588 


6.25 





214 








19 


18.36 


3 425 


7 


6«3 


8.18 





171 





—1.854 


+7.28 


+1.989 


—5.17 


29 


28.33 


2.702 


4 


761 


9.65 





122 


100 


1.768 


7.53 


1.985 


5.67 


July 9 


8.31 


1.911 


— 1 


818 


10.61 





70 


200 
300 


1.667 
1.551 


7.71 

7.82 


1.964 
1.928 


6.12 
6.52 


200, 19 


18.28 


1.073 


+ 2 


855 


11.05 





+ 17 


400 


1.422 


7.87 


1.875 


6.87 


29 


28.25 


-f-0.207 


5 


873 


10.95 





— 36 








Aug. 8 


7.22 


—0.667 


8 


870 


10.33 





89 




1869. 


1877. 


18 


17.20 


1.527 


11 


847 


9.17 





141 





—1.467 


+7 86 


+1.895 
1.832 


—6.76 


28 


27.17 


2.355 


14 


805 


7.52 





190 


100 


1.330 


7.8G 


7.07 


















200 


1.182 


7.79 


1.754 


7.33 


Sept. 7 


6.14 


3.130 


17 


742 


5.39 





235 


300 


1.024 


7.66 


1.661 


7.52 


17 


J 6. 12 


3.831 


20 


658 


+ 2.83 





276 


400 


0.858 


7.46 


1.553 


7.6H 


27 


26.09 


4.440 


22 


556 


— 0.11 





312 








Oct. 7 


6.06 


4.938 


24 


436 


3.39 





342 




1870. 


1878. 


17 


16.03 


5.307 


26 


299 


6.94 





366 



























—0.915 


+7.53 


+ 1.592 


—7.62 


300, 27 


26.01 


5.532 


27 


—149 


10.68 





381 


100 


0.743 


7.29 


1.477 


7.71 


Nov. 6 


4.98 


5.601 


27 


+ 12 


14.53 





388 


200 


0.566 


6.98 


1.349 


7.74 


16 


14.95 


5.506 


27 


178 


18.41 





385 


300 


0.385 


6.62 


1.210 


7.70 


26 


24.92 


5.245 


27 


344 


22.20 





373 


400 


0.200 


6.20 


1.060 


7.60 


Dec. 6 


4.90 


4.820 


26 


505 


25.82 





349 




1871. 


1879. 


16 
26 
36 


14.87 
24.84 
34.82 


4.241 

3.523 

—2.690 


25 

23 

+21 


653 

780 

+882 


29.16 

32.10 

—34.55 







315 

271 

—219 



100 
200 


-0.263 

—0.078 
+0.108 


+6.34 

5.89 
5.38 


+1.112 

0.956 
0.792 


—7.64 

7.50 
7.29 
















300 


0.292 


4.84 


0.621 


7.03 




- 






400 


0.473 


4.25 


o!444 


6.70 












1872 B. 


J 880 B. 




% $ Mean S 


un, April 28.7. 












* 6 0, 


Nov. 1.5. 







+0.412 


+4.45 


+0 505'— 6.81 




* c5 Mean S 


un, Oct. 28.3. 




100 


0.590 


3.84 


0.3251 6.45 










200 


0.763 


3.20 


+0.142 6.03 










300 


0.929 


2.53 


—0.042 5.56 











400 


+1.086|+1.84 


—0.227|—5.04 

1 



172 



SPECIAL TABLES. 









TABLE XXIV.-o 


2 Centauri. 


• 




h m 
E.A. 14 30.8. 




o / 

Dec. — 60 18. 


Upper transit at fictitious meridian. 








^O a 




A ©^ 


Side- 
real 


A a a 


A Q< 5 


A a« 


A Q<> 


Sidereal Day. 


Mean Day. 










Day. 










1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

s 




















100 


+ 1.620 
1.544 


+1.30 

2.02 


—1.756 
1.746 


+1.97 
1.27 






















s 






a 






200 


1.455 


2.72 


1.722 


+0.56 


0,Jan. 


— 0.18 


-1.231 


— 9 


+544 


+15.04 


— 2 


+ 3 


300 


1.354 


3.40 


1.683 


—0.15 


10 


+ 9.80 


0.675 


8 


566 


14.83 


— 1 


— 46 


400 


1.240 


4.05 


1.631 


0.86 


20 


19.77 


—0.105 


8 


571 


14.13 


+ 1 


93 








30 


29.74 


+0.462 


7 


562 


12.98 


2 


137 




1866. 


1871. 


Feb. 9 


8.72 


1.015 


6 


540 


11.41 


2 


175 





+ 1.280 


+3.84 


—1.650 


—0.62 


19 

Mar. 1 

11 

21 


18.69 

0.66 

10.63 

20.61 


1.538 

2.022 
2.460 

2.846 


4 

3 

— 1 

+ 1 


505 
462 
413 
360 


9.50 

7.28 

4.82 

+ 2.18 


3 
4 
5 
5 


207 
235 
256 
270 


100 
200 
300 

400 


1.158 

1.027 

0.887 
0.738 


4.46 
5.05 
5.60 
6.09 


1.589 
1.515 
1.428 

1.330 


1.33 
2.02 
2.69 
3.34 


31 


30.58 


3.178 


2 


303 


— 0.57 


6 


279 


" 


1867. 


1875. 


100, Apr. 10 


9.55 


3.451 


3 


244 


3.39 


6 


283 


. 


+0.789 


+5.93 


—1.365 


—3.13 


20 


19.52 


3.666 


5 


186 


6.21 


7 


281 


100 


0.636 


6.40 


1.259 


3.76 


30 


29.50 


3.820 


6 


125 


8.99 


7 


273 


200 


0.478 


6.80 


1.144 


4 36 


May 10 


9.47 


3.913 


8 


62 


11.66 


6 


261 


300 


0.316 


7.15 


1.019 


4.93 


20 


19.44 


3.944 


9 


+ 1 


14.19 


5 


244 


400 


0.152 


7.43 


0.885 


5.45 


30 


29.42 


3.915 


10 


— 58 


16.52 


5 


221 




1S68B. 


1876 B. 


June 9 


8.39 


3.828 


11 


116 


18.60 


5 


194 








19 


18.36 


3.683 


12 


171 


20.38 


4 


162 


_ 


+0.208 


+7.34 


—0.931 


—5.28 


29 


28.33 


3.487 


13 


221 


21.82 


3 


126 


100 


+0.042 


7.58 


0.793 


5 77 


July 9 


8.31 


3.242 


13 


265 


22.88 


3 


86 


20U 


—0.124 


7.76 


0.648 


6.22 
















300 


0.288 


7.86 


0.499 


6.62 


200, 19 


18.28 


2.958 


13 


301 


23.53 


3 


- 44 


400 


0.450 


7.90 


0.344 


6.96 


29 


28.25 


2.642 


13 


329 


23.75 


2 











Aug. 8 


7.22 


2303 


12 


342 
342 


23.53 


+ 1 


+ 44 




1869. 


1877. 


18 


17.20 


1.901 


12 


22.87 





87 





—0.396 


+7.90 


-0.39C 


-6.85 


28 


27.17 


1.623 


11 


329 


21.79 


— 1 


128 


100 

200 


0.555 
0.709 


7.89 
7.81 


0.239 

—0.080 


7.16 

7.40 


Sept. 7 


6.14 


1.307 


9 


299 


20.32 


1 


165 


300 


0.855 


7.66 


+0.080 


7.59 


17 


16.11 


1.030 


8 


253 


18.51 


2 


196 


400 


0.995 


7.45 


0.239; 7.71 


27 


26.09 


0.805 


6 


193 


16.42 


2 


220 








Oct. 7 


6.06 


0.648 


5 


121 


14.14 


3 


234 




1870. 


1878. 


17 


16.03 


0.567 


4 


— 37 


11.76 


2 


239 



























—0.949 


+7.52 


+0.185 


—7.67 


300, 27 


26.01 


0.577 


3 


+ 56 


9.38 


2 


236 


100 


1.082 


7.28 


0.344 


7.75 


Nov. G 


4.98 


0.679 


+ 2 


149 


7.07 


2 


222 


200 


1.206 


6.96 


0.500 


7.77 


16 


14.95 


0.875 





242 


4.97 


2 


197 


300 


1.319 


6.58 


0.652 


7.72 


26 


24.92 


1.162 





329 


3.15 


— 1 


165 


400 


1.421 


6.15 


0.799 


7.61 


Dec. 6 


4.90 


1.530 





406 


1.68 





125 




1871. 


1879. 


16 
26 


14.87 

24.84 


1.970 
2.468 


— 1 
1 


471 
521 


0.67 
0.09 


1 


80 
+ 33 



100 


—1.388 
1.481 


+6.31 

5.84 


+0.750 
0.893 


—7.65 

7 50 


36 


34.81 


+3.008 


— 1 


+555 


— 0.02 


+ 2 


— 16 


200 


1.562 


5.33 


1.030 


7.28 
















. 300 
400 


1.629 
1.682 


4.77 
4.17 


1.157 


7.00 














1.276 6.66 
















1872 B. 


18SOB. 




* 


6 0, 


Nov. ! 


1.2. 












* 


c5 Mean 


Sun, Oct. 2 


3.0. 





100 

200 
300 


—1.665 
1.709 
1.738 
1.753 


+4.38 
3.76 
3.11 
2.44 


+ 1.237 
1.349 
1.450 
1.538 


—6.7b 
6.41 
5.98 
5.49 














i 400 


—1.753 


+1.75 


+1.614—4.96 



SPECIAL TABLES. 



173 



1 . 








TABLE XXIV. 


-e Bootis. 






h m 
R.A. 14 39.3. 


o / 

Dec. + 27 37. 








Upper transit at fictitious meridian. 








A a 






A Q d 


Side- 
real 


A Q a 


A ^ 


A Q a \ A Q d 


Sidereal Day. 


MeanDay. 












Day. 






1 
























1S70. 


Var.in 

10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

s " 



















100 


+0.341 

0.258 


+1.62 
2.34 


—0.663 

0.600 


+1.71 
1.00 






















9 






a 






200 


0.172 


3.04 


0.532 


+0.28 


0,Jan. 


— 0.17 


—0.779 


— 2 


+315 


— 9.14 


+ 2 


—261 


300 


+0.085 


3.71 


0.460 


—0.45 


10 


+ 9.80 


0.454 


3 


334 


11.60 


2 


230 


400 


—0.003 


4.35 


0.384 


1.16 


20 


19.78 


-0.114 


3 


343 


13.72 


2 


192 








30 


29.75 


4-0.229 


3 


340 


15.42 


2 


146 




1866. 


1871. 


Feb. 9 


8.72 


0.564 


3 


328 


16.63 


1 


97 



























+0.027|+4.14 


—0.410 


-0.92 


19 


18.69 


0.883 


3 


309 


17.35 


+ 1 



— 46 


100 


—0.061 4.76 


0.332 


1.63 


Mar. 1 


0.67 


1.180 


3 


283 


17.55 


+ 5 


200 


0.149 5.34 


0.252 


2.32 


11 


10.64 


1.448 


3 


252 


17.25 





54 


300 


0.235! 5.8? 


0.170 


3.00 


21 


20.61 


1.683 


2 


217 


16.48 





99 


400 


0.31 9| 6.35 


0.086 3.64 


31 


30.58 


1.882 


2 


182 


15.30 


— 1 


137 




1867. 


1875. 


ICO, Apr. 10 


9.56 


2.047 


1 


146 


13.76 


1 


167 





—0.291 +6.20 


—0.114 


-3.43 


20 


19.53 


2.174 


1 


109 


11.97 


1 


190 


100 


0.374 


6.64 


—0.030 


4.06 


30 


29 50 


2.265 


— 1 


74 


9.99 


2 


204 


200 


0.453 


7.03 


+0.054 


4.65 


May 10 


9.48 


2.322 





39 


7.91 


2 


211 


300 


0.528 


7.35 


0.138 


5.20 


20 


19.45 


2.344 





+ 6 


5.80 


1 


209 


400 


0.598 


7.61 


0.220 


5.71 


30 


29 42 


2.335 


+ 1 


- 24 


3.75 


1 


200 




1868 B. 


1876 B. 


June 9 


8.39 


2.297 


1 


54 


1.82 


— 1 


185 








19 


18.37 


2.228 


2 


80 


— 0.07 





164 





—0.575 


+7.53 


+0.192 


—5.55 


29 


28.34 


2.137 


2 


104 


+ 1.45 





140 


100 


0.642 


7.75 


0.274 


6.03 


July 9 


8.31 


2.020 


o 


127 


2.72 





111 


200 
300 


0.704 
0.759 


7.9U 
7.9? 


0.353 
0.429 


6.46 

6.84 


200, 19 


18.28 


1.884 


2 


146 


3.67 





80 


400 


0.80? 


7.98 


0.502 


7.16 


29 


28.26 


1.730 


2 


160 


4 31 





46 








Aug. 8 


7.23 


1.566 


2 


169 


4.59 





+ 12 




1869. 


1877. 


18 


17.20 


1.394 


3 


172 


4.54 


+ 1 


— 23 





—0.791 '+7.99 
0.835 7.95 


+0.478 

0.548 


—7.06 


28 


27.18 


1.225 


3 


167 


4.12 


I 


59 


100 


7.34 


















200 


0.872 


7.85 


0.613 


7.56 


Sept. 7 


6.15 


1062 


2 


156 


3.35 


2 


95 


300 


0.900 


7.6? 


0.674 


7.73 


17 


16.12 


0.916 


o 


136 


2.23 


2 


130 


400 


0.921 


7.43 


0.730 


7 ft«2 


27 


26.09 


0.792 


2 


110 


+ 0.74 


3 


164 








Oct. 7 


6.07 


0.699 


2 


74 


— 1.04 


3 


196 




1870. 


1878. 


17 


16.04 


0.646 


+ 1 


— 30 


3.16 


4 


227 





—0.915+7.52 


+0.712J— 7.80 
763 7.85 


300, 27 


26.01 


0.640 





+ 18 


5.56 


4 


253 


10U 


0.930 


7.24 


Nov. 6 


4.98 


0.682 





68 


8.20 


4 


275 


200 


0.938 


6.89 


0.808 7.84 


16 


14.96 


0.776 





122 


11.04 


5 


291 


300 


0.937 


6.49 


0.847 7.77 


26 


24.93 


0.925 


— 1 


174 


13.99 


5 


299 


400 


0.929 


6.03 


0.879 7.63 


Dec. 6 


4.90 


1 123 


2 


2*2 


16.99 


5 


301 




1871. 


1879. 


16 
26 
36 


14.87 
24.85 
34.82 


1.368 

1.651 

+1.962 


2 

2 

— 3 


265 

298 

+323 


19.98 
22.83 

—25.47 


5 

5 

+ 5 


294 

276 

—251 



100 

200 


—0.932 
0.919 

0.897 


+6.19 
5.70 
5.16 


+0.869 
89h 
0.915 


—7.68 
7.50 
7.25 














300 0.868 


4.58 


0.92? 


6.94 


i 












400 


0.831 


3 96 


0.932 


6.58 
















1872 B. 


1S80 B. 


| 


* 


6 O, 




Nov. 4.3. 










I 


* 


6 Mean { 


3un, 


Oct. 31.2. 




0—0.84 


+4.18|+0.931 


—6.71 














100 


0.803 


3.54" 0.931 


6.31 


1 












200 


0.756 


2.87! 0.921 


5 85 














300 


0.702 


2.18 0.915 


5.34 


! 












400 —0.642 +1.47 +0.881 


—4.78 



174 



SPECIAL TABLES. 









TABLE XXIV.- 


-(3 Bootis. 






h m 

R.A. 14 57.0. 


/ 

Dex;. + 40 54. 


Upper transit at fictitious meridian. 








^o« 




A d 


Side- 
real 


A ^ a 


Aq(5 


1 A 

I A a a 


A a 6 


Sidereal Day. 


McanDay. 










Day. 












1 












i 






1870. 


Var.inDiff.for 
10 y. 1 10 d. 


1870. 


Var. in 

10 y. 


Diff. for 
10 d. 



100 


1865. 

s " 
+0.158+2.26 
+0.0771 2.98 


' lsy3 '„ 

—0.491+1.14 


















0.424 


+0.41 






s 






r. 






200 


—0.004 


3.67 


0.353 


—0.33 


0,Jan. 


— 0.16 


-1.041 


— 2 


+330 


—11.71 


+ 2 


—285 


300 


0.085 


4.34 


0.2?9 


1.07 


10 


-|- 9.82 


0.697 


2 


357 


14.37 


2 


246 


400 


0.166 


4.9? 


0.204 


1.79 


20 


19.79 


-0.331 


3 


373 


16.60 


2 


199 








30 


29 76 


-f 0.046 


3 


378 


18.32 


1 


146 




1866. 


1874. 


Feb. 9 


8.73 


0.421 


3 


371 


19.49 


1 


86 





—0.139 


+4.76 


! — 0.229 


—1.55 


19 


18.71 


0.784 


3 


353 


20.04 


+ 1 



— 25 


100 


0.219 


5.36 


! 0.153 


2 26 


Mar. 1 


0.68 


1.124 


3 


327 


20.00 


+ 34 
90 


200 


0.297 


5.91 


1—0.075 


2.95 


Jl 


10.65 


1.436 


3 


296 


19.38 





300 


0.373 


6.41 


+0.003 


3 62 


21 


20.62 


1.715 


3 


259 


18.22 


— 1 


140 


400 


0.445 


6.8? 


0.082 


4.26 


31 


30.60 


1.953 


3 


217 


16.59 


1 


183 




1867. 


1875. 


100, Apr. 10 


9.57 


2.148 


2 


174 


14.57 


1 


218 





-0.421 


+6.72 


+0.055 


-4.05 


20 


19.54 


2.300 


2 


130 


12.26 


1 


243 


100 


0.491 


7.11 


! 0.133 


4.66 


30 


29.52 


2.408 


— 1 


86 


9.74 


1 


259 


200 


0.556 


7.4? 


i 0.209 


5.23 


May 10 


9.49 


2.473 





44 


7.10 


2 


264 


300 


0.617 


7.7^ 


| 0.284 


5.77 


20 


19.46 


2.496 





+ 3 


4.48 


1 


260 


400 


0.672 


7.96 


! 0.356 


6.25 


30 


29.43 


2.479 





— 36 


— 1.92 


1 


249 




1868 B. 


I 1876 JB. 


June 9 


8.41 


2.424 


-f- 1 


73 


+ 0.48 
2.64 


1 


229 








19 


18.38 


2.333 


1 


108 


1 


202 





-0.654 


+7.89 


+0.332 


—6.09 


29 


28.35 


2.208 


2 


140 


4.50 


— 1 


170 


100 


0.705 


8.06 


! 0.403 


6.54 


July 9 


8.32 


2.055 


2 


167 


6.02 





134 


200 
300 


0.750 

0.788 


8.15 
8.1? 


! 0.470 
i 0.533 


6.93 
7.27 


200, 19 


18.30 


1.875 


2 


190 


7.17 





94 


400 


0.820 


8.12 


! 0.592 


7.55 


29 


28.27 


1.677 


2 


207 


7.90 





52 






i 


Aug. 8 


7.24 


1.462 


2 


220 


8.20 


+ I 


+ 9 




I860. 


1877. 


18 


17.21 


1.238 


3 


225 


8.07 


1 


— 35 





—0.810 


+8.15 


+0.572 
j 0.628 


—7.47 


28 


27.19 


1.014 


3 


222 


7.51 


2 


79 


100 


0.836 


8.05 


7.70 


















200 


0.856 


7.89 


0.6?9 


7.88 


Sept. 7 


6.16 


0.797 


3 


210 


6.50 


2 


122 


300 


0.868 


7.65 


1 0.724 


7.99 


17 


16.13 


0.596 


3 


191 


5.07 


2 


164 


400 


0.872 


7.35 


| 0.763 


8.03 


27 


26.11 


0.418 


2 


162 


3.23 


3 


203 








Oct. 7 


6.08 


0.274 


2 


123 


+ 1.02 


3 


241 




1S70. 


| 1878. 


17 


16.05 


0.174 


1 


77 


— 1.57 


4 


274 



























—0.871 


+7.46 


+0.750 


—8.02 


300, 27 


26.02 


0.122 


1 


— 25 


4.44 


4 


301 


100 


0.871 


7.12 


0.786 


8.02 


Nov. 6 


5.00 


0.126 


+ 1 


+ 34 


7.57 


4 


323 


200 


0.863 


6.72 


0.815 


7.96 


16 


14.97 


0.190 





93 


10.88 


5 


338 


300 


0.847 


6.26 


0.83? 


7.82 


26 


24.94 


0.313 





153 


14.30 


5 


344 


400 


0.824 


5.75 


0.852 


7.63 


Dec. 6 


4.91 


0.496 


— 1 


211 


17.73 


5 


342 




1871. 


1879. 


16 
26 
36 


14.89 
24.86 
34.83 


0.734 

1.019 

-f-1.345 


1 
1 

— 2 


263 

307 

+341 


21.10 

24.27 

—27.15 


5 
5 

+ 5 


329 

304 

-271 



100 
200 
300 


—0.833 
0.805 
0.771 
0.730 


+5.93 
5.39 
4.80 
4.17 


+0.848 

0.858 

! 0.861 

1 0.858 


—7.70 
7.46 
7.16 
6.79 












400 


0.684 


3.51 


0.847 


6.37 














1872 B. 


1880 B. 




* ( 


3 0, 


Nov. 8.8. 












* ( 


i Mean S 


un, Nov. 4.7. 




c 


—0.700 


+3.74 


+0.851 


-6.52 












100 


0.650 


3.06 


• 0.835 


6.06 












200 


0.594 


2.35 


0.813 


5.55 












300 


0.533 


1.63 


0.783 


4.99 


I 










400 


—0.468 


+0.90 


+0.747—4.39 1 



SPECIAL TABLES. 



175 



I 






TABLE XXIV.- 


i 

-/3 Librae. 








h in 
R.A. 15 10.0. 




o / 

Dec. — 8 54. 










Upper transit at fictitious meridian. 










^O a 




A J 


Side- 
real 


A ^« 


A Q* 


A Q a 


A Q* 




Sidereal Day. 


Mean Day. 










Day. 












1870. 


Var. in 

10 y. 


Diff. for 
10 d. 


1870. 


Var. in 

10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 





















100 


+0.718 
0.635 


+2.72 
3.44 


—0.993 
0.944 


+0.72 
-0.03 


























8 






a 






200 


0.547 


4.1a 


0.887 


0.78 




0, Jan. 


— 0.15 


-0.826 


— 3 


+298 


+ 1.37 


+ 1 


—164 


300 


0.454 


4.7s 


0.823 


1.53 




10 


+ 9.82 


0.519 


3 


316 


— 0.29 


1 


168 


400 


0.357 


5.39 


0.75u 


2.25 




20 


19.80 


—0.198 


3 


324 


1.97 


2 


165 










30 


29.77 


+0.126 


3 


323 


3.58 


2 


157 




I860. 


1874. 




Feb. 9 


8.74 


0.446 


3 


316 


5.09 


2 


144 





























+0.3901+5 19 


—0.777 


—2.00 




19 


18.72 


0.756 


3 


303 


6.45 


2 


127 


100 


0.290 


5.78 


0.703 


2.72 




Mar. 1 


0.69 


1.050 


3 


283 


7.62 


2 


107 


200 


0.188 


6.31 


0.622 


3.41 




11 


10.86 


1.321 


2 


259 


8.58 


2 


85 


300 


+0.084 


6.78 


0.537 


4.07 




21 


20.63 


1.568 


2 


235 


9.31 


2 


62 


400 


— 0.021J 7.20 


0.447 


4.69 




31 


30.61 


1.790 


1 


208 


9.81 


2 


40 




1867. 


1875. 




100, Apr. 10 


9.58 


1.983 


— 1 


180 


10.11 


2 


20 





+0.015 


+7.07 


—0.478—4.49 




20 


19.55 


2.150 





153 


10.21 


2 


— 1 


100 


—0.090 


7.45 


0.386 5.09 




30 


29.52 


2.288 





124 


10.13 


2 


+ 15 


200 


0.194 


7.76 


0.291 


5.65 




May 10 


9.50 


2.398 


+ 1 


95 


9.92 


2 


27 


300 


0.296 


8.00 


0.193 


6.16 




20 


19.47 


2.478 


1 


67 


9.60 


2 


37 


400 


0.395 


8.18 


0.094 6.62 




30 


29.44 


2.531 


2 


38 


9.20 


2 


43 




1868 B. 


1876 B. 




June 9 


8.41 


2.553 


2 


+ « 


8.75 


2 


47 










19 


18.39 


2.547 


2 


— 21 


8.26 


1 


49 


0—0.362 


+8.13 


-0.128 


—6.47 




29 


28.36 


2.51 1 


3 


49 


7.76 


1 


50 


100 


0.459 


8 25 


—0.029 


6.89 




July 9 


8.33 


2.450 


3 


75 


7.26 


1 


51 


200 
300 


0.552 
0.640 


8.31 

8.29 


+0.07* 
0.171 


7.26 

7.57 




200, 19 


18.31 


2.362 


3 


101 


6.75 


1 


50 


400 


0.722 


8.20 


0.269 


7.81 




29 


28.28 


2.250 


4 


120 


6.26 


1 


48 








Aug. 8 


7.25 


2.123 


4 


135 


5.80 


1 


45 


1869. 


1877. 




18 


17.22 


1.981 


4 


145 


5.37 


1 


40 





—0.695+8.24 


+0.236 


—7.74 




28 


27.20 


1.834 


4 


147 


5.00 





36 


100 
200 


0.773! 8.10 

0.844 7.89 


0.333 
0.427 


7.94 

S.C8 




Sept. 7 


6.17 


1.689 


4 


142 


4.66 


1 


29 


300 


0.907 7.62 


0.51b! 8.15 




17 


16.14 


1.553 


3 


128 


4.42 


1 


18 


400 


0.963, 7.27 


0.604| 8.16 




27 


26.11 


1.436 


3 


104 


4.30 


1 


+ 7 










Oct. 7 


6.(9 


1.347 


2 


73 


4.29 


1 


— 8 




1870. 


1878. 




17 


16.06 


1.292 


2 


— 34 


4.46 


2 


25 





























—0.945 


+7.39 


+0.576'— 8.16 




300, 27 


26.03 


1.281 


2 


+ 11 


4.80 


2 


44 


100 


0.995 


7.01 


0.659 


8.12 




Nov. 6 


5.01 


1.315 


-hi 


59 


5.35 


2 


65 


200 


1.03fl 


6.5: 


0.73S 


8.01 




16 


14.98 


1.400 





111 


6.10 


2 


87 


300 


1.069 


6.07 


0.810 


7.84 




26 


24.95 


1.537 





160 


7.07 


3 109 


400 


1.092 


5.52 


0.875 7.60 




Dec. 6 


4.92 


1.720 





206 


8.27 


4 


129 




1871. 


1879. 




16 
26 
36 


14.90 

24.87 
34.84 


1.948 
2 212 

+2.507 


— 1 

1 

— 2 


247 
281 

+305 


9.64 

11.16 

— 12.79 


4 

4 

+ 5 


145 

158 
—166 



100 
200 
300 
400 


—1.085 
1.10-4 
1.109 
1.107 

1.096 


+5.71 
5.13 
4.51 
3.85 
3.16 


+o.sr»t 

0.915 
0.969 
1.014 
1.052 


—7.69 
7.40 
7.06 
6.65 
6.19 
































1874 B. 


I88OB. 






* 


(5 0, 


Nov. 1 


2 0. 














* 


c5 Mean { 


Sun, Nov. 


8.0. 





100 
200 
300 


—1.100 
1.083 
1.056 
1.021 


+3.40 
2.69 
1.97 
1.23 


+ 1.040 
1.072 
1.094 
1.108 


—6.35 
5.86 
5 31 
4.71 
















400 


—0.978 +0.48 


+1.11* -4.08 





176 






SPECIAL TABLES 


• 
















TABLE XXIV.- 


-/z 1 Bootis. 






h m 

E.A. 15 19.6. 


o / 

Dec. + 37 50. 


Upper transit at fictitious meridian. 








A Q a 




A Q d 


Side- 
real 
Day. 


A Cl a 


A Q d 


A a a 


A Q<> 


Sidereal Day. 


Mean Day. 










































1870. 


Var.in 
10 y. 


Diff. for 
10 d. 


1870. 


Var.in 
10 y. 


Diff for 
10 d. 




1865. 

s " 


1873. 

8 " 



















100 


+0.2211+3.06 
0.144} 3.77 


—0.531 
0.469 


+0.42 
—0.35 






















s 






» 






200 


+0.065 4.45 


0.403 


1.10 


0, Jan. 


— 0.14 


—1.125 


— 1 


+303 


—10.26 


+ 2 


—292 


300 


—0.014! 5.10 


0.334 


1.85 


10 


+ 9.83 


0.806 


2 


333 


13.03 


2 


259 


400 


0.093J 5.70 


0.263 


2.57 


20 


19.80 


0.463 


2 


352 


15.42 


2 


216 








30 


29.78 


—0.106 


3 


361 


17.33 


1 


165 




1866. 


1874. 


Feb. 9 


8.75 


+0.255 


3 


359 


18.70 


1 


109 





—0.066+5.50 


—0.287 


1-2.33 


19 

Mar. 1 

11 


18.72 

0.69 

10.67 


0.609 
0.948 
1.262 


3 
2 
3 


348 

328 
300 


19.50 
19.72 
19.33 


1 

+ 1 



— 51 

+ 9 

66 


100 
200 
300 


0.145 

0.222 

0.298 


6.0? 
6.59 

7.05 


0.214 
0.140 

—0.065 


3.04 
3.73 

4.38 


21 


20.64 


1.547 


3 


269 


18.42 





116 


400 


0.371 


7.44 


+0.011 


5.00 


31 


30.61 


1.799 


2 


233 


17.02 


— 1 


163 




1867. 


1875. 


100, Apr 10 


9.59 


2.012 


2 


194 


15.18 


1 


201 





—0.347 


+7.32 


_0.014'— 4.80 


20 


19.56 


2.187 


1 


155 


13.02 


1 


230 


100 


0.41? 


7.67 


+0.062! 5.39 


30 


29.53 


2.322 


1 


115 


10.60 


1 


250 


200 


0.485 


7.96 


0.137! 5.93 


May 10 


9.50 


2.416 


— 1 


73 


8.04 


1 


260 


300 


0.548 


8.18 


0.211 6.43 


20 


19.48 


2.468 





+ 33 


5.43 


2 


261 


400 


0.606 


8.32 


0.283J 6.87 


30 


29.45 


2.482 





— 6 


2.85 


2 


253 




1S6S B. 


1876 B. 


June 9 


8.42 


2.456 





45 


- 0.40 


1 


237 








19 


18.39 


2.393 


+ 1 


80 


+ 1.87 


1 


214 


c 


—0.589 


+8.28 


+0.259 


—6.73 ' 


29 


28.37 


2.297 


2 


112 


3.87 


1 


186 


100 


0.641 


8.38 


0.330 


7.13 ! 


July 9 


8.34 


2.169 


2 


144 


5.58 


1 


154 


200 
300 


0.690 
0.733 


8.40 
8.35 


0.398 
0.463 


7.48 j 
7.76 1 


200, 19 


18.31 


2.010 


2 


171 


6.93 


— 1 


117 


400 


0.768 


8.2S 


0.524 


7.99 j 


29 


28.29 


1.829 


2 


193 


7.92 





77 




1869. 


1 


Aug. 8 


7.26 


1.626 


3 


210 


8.48 





+ 36 




1877. 


18 


17.23 


1.412 


3 


218 


8.63 





— 6 





—0.757+8.28 


+0.503 


—7.92 j 


28 


27.20 


1.192 


3 


220 


8.35 


+ ] 


50 


100 


0.789 8.11 


0.562 


8.10 ! 


















200 


0.814 


7.8? 


0.615 


8.21 


Sept. 7 


6.18 


0.974 


3 


214 


7.63 


2 


93 


300 


0.832 


7.5? 


0.664 


8.25 


17 


16.15 


0.767 


2 


198 


6.50 


2 


135 


400 


0.842 


7 19 


0.70? 


8.23 


27 


26.12 


0.580 


2 


173 


4.94 


3 


175 








Oct. 7 


6.09 


0.423 


2 


139 


3.00 


3 


213 




1870. 


1878. 


17 


16.07 


0.304 


2 


97 


+ 0.68 


4 


249 



























—0.840+7.33 


+0.693 


—8.24 | 


300, 27 


26.04 


0.231 


1 


— 47 


— 1.96 


4 


279 


100 


0.846! 6.91 


0.733 


8.17 


Nov. 6 


5.01 


0.211 


1 


+ 9 


4.88 


4 


304 


200 


0.844! 6.44 


0.76? 


8.04 


16 


14.98 


0.249 


-r J 


66 


8.02 


4 


323 


300 


0.835 5.92 


0.794 


7.83 


26 


24.96 


0.342 





123 


11.31 


4 


334 


400 


0.819| 5.34, 


0.815 


7.56 


Dec. 6 


4.93 


0.495 





181 


14.68 


5 


336 




1871. 


1879. 


16 
26 


14.90 

24.88 


0.704 
0961 



— 1 


234 

279 


18.00 
21.21 


5 
5 


328 
310 



100 


— 0.825'+5.54 
0.805 4.94 


+0.808 
0.82r. 


—7.66 
7.35 


36 


34.85 


+1.259 


— 1 


+315 


—24.17 


+ 4 


—281 


200 
300 
400 


0.777 
0.744 


4.29 
3.61 


0.835 
0.83? 
0.833 


6.97 
6.54 ' 
6.05 | 












0.703 2.90 














1872 B. 


1880 B. 1 




* c 


5 0, 


Nov. 14.3. 








i 




* c 


5 Mean S 


un, Nov. 10.4. 







—0.718+3.15 


+0.835 


—6.22 : 












100 


0.674 


2.42 


0.826 


5.70 j 












200 


0.624 


1.68 


0.810 


5.12 












300 


0.569 


0.92 


0.78? 


4.50 












400 


—0.510+0.161 


+0.757 


—3.84 

1 



SPECIAL TABLES. 



177 





TABLE XXIV.—* y 


Ursa Minoris. 




h m 

E.A. 15 21.0. 


/ 

Dec. + 72 18. 
* 


Upper transit at fictitious meridian. 


Sidereal Day. 


Mean Day. 


A o rt 


A o s 


| Side- 
real 
'Day. 


A ^ a 


A Q 6 


A Q a A a J 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 
s " 



















100 


—1.029 
1.090 


+3.11 

3.82 


+0.637 +0.38 


















0.729 


—0.38 






s 






// 






200 


1.141 


4.50 


0.816 


1.14 


0, Jan. 


— 0.13 


—3.017 


+ 6 


+568 


—14.75 





—297 


300 


1.183 


5.15 


0.895 


1.88 


10 


+ 9.84 


2.402 


5 


659 


17.48 





249 


400 


1.214 5.75 


0.967 


2.61 


20 


19.81 


1.706 


4 


727 


19.69 





192 








30 


29.78 


0.956 


3 


770 


21.29 





128 




1866. 


1874. 


Feb. 9 


8.75 


-0.176 


+ 1 


784 


22.24 





— 61 





—1.205J+5.55 


'+0.943 


-2.37 


19 

Mar. 1 

11 

21 


18.72 

0.70 

10.67 

20.64 


+0.604 
1.359 
2.063 
2.695 




2 
3 


772 
733 
671 

589 


22.51 

22.09 
2«.03 
19.37 








+ 8 

74 

137 

193 


100 
200 
300 
400 


1.229 6.12 
1.243 6.63 

1.245 7.09 

1.237| 7.48 


1.010 
1.068 

L157 


3.08 
3.77 
4.42 
5.04 


31 


30.62 


3.235 


4 


490 


17.20 





240 




1867. 


1875. 


100, Apr. 10 


9.59 


3 671 


5 


379 


14.60 





278 





—1.241 


+7.35 


'+1.145—4.83 


20 


19.56 


3.991 


6 


261 


11.68 





304 


100 


1.226 


7.70 


1.178 5.42 


30 


29.53 


4.191 


6 


138 


8.57 





318 


200 


1.200 


7.99 


1.202 


5.97 


May 10 


9.51 


4.268 


6 


+ 16 


536 





321 


300 


1.164 


8.20 


1.216 


6.46 


20 


19.48 


4.223 


6 


— 104 


— 2.18 





313 


400 


1.117 8.34 


1.219 


6.90 


30 


29.45 


4.062 


5 


21S 


+ 0.87 





295 




1868 B. 


1S76 B. 


June 9 


8.42 


3.791 


5 


323 


3.70 





269 








19 


18.40 


3.420 


4 


418 


6.22 





234 





—1.134 


+8.30 


+1.219!— 6.76 


29 


28.37 


2.959 


3 


502 


8.36 





194 


100 


1.081 


8.40 


1.216' 7.16 


July 9 


8.34 


2.421 


— 2 


572 


10.08 





149 


200 
300 


1.019 
0.948 


8.42 
8.36 


1.204 
1.181 


7.50 
7.79 


200, 19 


18.32 


1.819 





629 


11.32 





100 


400 


0.869 


8.24 


1.14o 


8.01 


29 


28.29 


1.168 


+ 1 


670 


12.06 





+ 48 








Aug. 8 


7.26 


+0.483 


3 


697 


12.28 





— 4 




1869. 


1877. 


18 


17.23 


—0.220 


4 


706 


11.98 





57 





—0.896 4-8.29 


+1.161 


—7.94 


^8 


27.21 


0.923 


6 


698 


11.14 





109 


100 
200 


0.812 
0.721 


8.11 

7.87 


1.122 

1.074 


8.11 

8.22 


Sept. 7 


6.18 


1.610 


7 


673 


9.80 





159 


300 


0.624 


7.56 


1.017 


8.26 


17 


16.15 


2.263 


9 


629 


7.97 





207 


400 


0.522 


7.18 


0.951 


8.24 


27 


26.12 


2.863 


10 


567 


5.68 





251 








Oct. 7 


6.10 


3.391 


12 


488 


+ 2.98 





291 




1870. 


1878. 


17 


16 07 


3.832 


13 


392 


— 0.11 





324 





—0.5571+7.32 


+0.974J— 8.25 


300, 27 


26.04 


4.170 


14 


280 


3.50 





352 


100 


0.452 6.90 
0.343 6.43 


0.903 8.18 


Nov. 6 


5.02 


4.389 


14 


157 


7.13 





372 


200 


0.8251 8.04 


16 


14.99 


4.480 


15 


— 25 


10.91 





383 


300 


0.2321 5.90 


0.739J 7.83 


26 


24.96 


4.437 


15 


+113 


14.76 





384 


400 


0.1191 5.32 


0.647, 7.56 


Dec. 6 


4.93 


4.255 


15 


250 


18.56 





375 




1871. 


1879. 


16 
26 


14.91 

24.88 


3.940 
3.498 


15 
14 


381 

• 501 


22.21 
25.61 






354 
323 



100 


— 158 
—0.044 


+5.52 
4.91 


+0.679 
0.583 


-7.66 
7.34 


36 


34.85 


—2.944 


+13 


+604 


—28.63 





—280 


200 
300 
400 


+0.070 
0.182 
0.293 


4.26 
3 58 

2.87 


0.483 
0.378 
0.269 


6.9d 
6.53 
6.04 




















1872 B. 


1880 B. 




* 8 Mean Sun, May 12.2. 














* 6 0, Nov. 14.7. 

* 6 Mean Sun, Nov. 10.8. 








100 
200 
300 


+0.256+3.11 
0.365! 2.38 
0.471: 1.64 
0.572 ; 0.88 


+0.308—6.21 

0.196 5.68 

+ 0.084 5.10 

—0.029' 4 48 


_ 








400 


+0.669 +0.121 — 0.143— 3.82 



12 



178 



SPECIAL TABLES. 









TABLE XXIV.-< 


Scrpentis. 






h m 

R.A. 15 44.3. 


O 1 

Dec*. + 4 52. 


Upper transit at fictitious meridian. 








A G a 






A <> 


Side- 
real 


A Q a 


A fl d 


A ^ a ! A a (5 


Sidereal Day. 


Mean Day. 












Day. 






1 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


DiflF. for 
10 d. 




1863. 

s " 


1873. 

8 " 



















100 


+0.591 +3.90 


—0.8741—0.39 
0.821 1.J7 


















0.509 


4.60 






s 






// 






200 


0.424 


5.26 


0.76* 1.94 


0,Jan. 


- 0.12 


—0.975 


— 2 


+265 


- 2.22 


+ 1 


—208 


300 


0.334 


5.87 


0.6971 2.68 


10 


+ 9.85 


0.698 


3 


2H9 


4.27 


1 


201 


400 


0.242 


6.44 


0.62?| 3.41 


20 


19.82 


0.399 


3 


305 


6.21 


1 


185 








30 


29.79 


—0.090 


3 


311 


7.96 


1 


164 




1866. 


1871. 


Feb. 9 


8.77 


+0.221 


3 


311 


9.48 


1 


138 





+0.273 


+6.25 


—0.651 


—3.17 


19 


18.74 


0.529 


3 


304 


10.70 


1 


106 


100 


0.179 


6.78 


0.577 


3.87 


Mar. 1 


0.71 


0.826 


2 


290 


11.59 


1 


72 


200 


+0.084 


7.25 


0.499 


4.54 


]] 


10.68 


1.107 


2 


273 


12.14 


2 


37 


300 


—0.013 


7.66 


0.416 


5.18 


21 


20.66 


1.370 


2 


251 


12.33 


2 


— 2 


400 


0.109 


8.00 


0.330 


5.77 


31 


30.63 


1.608 


2 


227 


12.19 


1 


+ 29 




1867. 


1875. 


100, Apr. 10 


9.60 


1.824 


1 


202 


11.76 


1 


57 





—0.077 


+7.89 


—0.359 


—5.57 


20 


19.58 


2.013 


1 


175 


11.06 


1 


79 


100 


0.172 


8.19 


0.272 


6.13 


30 


29.55 


2.173 


— 1 


148 


10.16 


1 


99 


200 


0.267 


8.41 


0.182 


6.64 


May 10 


9.52 


2.308 





120 


9.06 


1 


115 


300 


0.359 


8.56 


0.091 


7.09 


20 


19.49 


2.413 





90 


7.87 


1 


123 


400 


0.447 


8.63 


+0.001 


7.48 


30 


29.47 


2.487 


+ 1 


59 


6.62 


1 


126 




1868 B. 


1876 B. 


June 9 


8.44 


2.531 


1 


+ 28 


5.37 


1 


125 








19 


18.41 


2.544 


2 


— 3 


4.14 


1 


120 





—0.418 


+8.62 


—0.030 


—7.36 


29 


28.38 


2.526 


2 


34 


2 99 


1 


111 


100 


0.504 


8.64 


+0.062 


7.71 


July 9 


8 36 


2.477 


3 


64 


1.92 





99 


200 
300 


0.585 
0.661 


8.59 

8.46 


0.154 8.00 
0.244J 8.22 


200, 19 


18.33 


2.399 


3 


91 


1.00 





86 


400 


0.731 


8.26 


0.3331 8.38 


29 


28.30 


2.296 


3 


115 


— 0.21 


1 


71 








Aug. 8 


7.27 


2.170 


3 


136 


+ 0.42 


t 


55 




1869. 


1877. 


18 

28 


17.25 
27.22 


2.025 
1.872 


3 
3 


150 
157 


0.89 
1.17 


1 
2 


38 

+ 18 



100 
200 


—0.709 
0.775 
0.834 


+8.34 
8.09 
7.77 


+0.303 
0.390 
0.473 


—8.33 

8.44 
8.48 


Sept. 7 


6.19 


1.713 


3 


158 


1.25 


2 


— 2 


300 


0.886 


7.39 


0.553 


8.45 


17 


16.17 


1.559 


2 


148 


1.13 


2 


23 


400 


0.130 


6.94 


0.629 


8.35 


27 


26.14 


1.419 


2 


130 


0.79 


2 


45 








Oct. 7 


6.11 


1.301 


2 


104 


+ 0.22 


3 


68 




1870. 


1878. 


17 


16.08 


1.213 


2 


70 


— 0.58 


3 


91 



























—0.916+7.10 


+0.604 
0.676 


—8.40 


300, 27 


26.06 


1.164 


1 


— 28 


1.61 


3 


114 


100 


0.954 


6.61 


8.25 


Nov. 6 


5.03 


1.159 


+ 1 


+ 17 


2.87 


3 


138 


200 


0.985 


6.07 


0.743 


8.04 


16 


15.00 


1.200 





67 


4.37 


3 


161 


300 


1.006 


5.4? 


0.803 


7.75 


26 


24.97 


1.294 





118 


6.08 


4 


181 


400 


1.020 


4.83 


0.858 


7.41 


1 Dec. 6 


4.95 


1.436 





165 


7.97 


4 


195 




1871. 


1879. 


16 

! 26 
| 36 


14.92 

24.89 
34.87 


1.623 

1.852 

+2.113 


— 1 
1 

— 1 


209 

246 

+274 


9.96 

12.04 

—14.11 


4 

5 

+ 5 


204 

209 

—205 



100 
200 
300 


—1.010 
1.023 
1.022 
1.012 


+5. 06 
4.39 

3.09 
2.96 


+0.840 
0.890 
0.932 
0.967 


—7.53 
7.14 

6.69 
6.19 


j 












400 


0/J93 


2/20 


0/J93 


5.63 


| 














1872 15. 


1880 B. 


l 


* ( 


3 0, 




Nov. 20.3. 










1 
| 


* ( 


3 Mean S 


un, 


Nov. 16.7. 





100 


—1.001+2.46 
0.970 ; J. 70 


+0.985—5.82 
J. (,06 5.23 


i 












200 


0.944 0.02 
0.904+0.14 


1.019 


4.59 


i 












300 


1.023 


3.91 


i 












400 


—0.857 —0.05 


+ J. 019 —3.20 





























SPECIAL TABLES. 



179 



■! 


TABLE XXIV.— * (TlJrsse Minoris. 


! 




h in 
R.A. 15 48.8. 


O ' 

Dec. + 78 12. 




Upper transit at fictitious meridian. 






A Q a 




V 


Side- 
real 


A Q« 


A Q<> 


A Q« 


*tf 


Sidereal Day. 










Day. 










_\lesn JDci}' . 


1870. 


Var. in 
10y. 


Diff. for 
10 d. 


1870. 


Var. in 
lOy. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

s " 



















100 


—1.7671+4.06 
1.789] 4.75 


+ 1.452 
1.536 


-0.52 
1.30 






















s 






// 






200 


1.7951 5.41 


. 1 608 


2.07 


0,Jan. 


— 0.12 


—5.059 


+20 


+677 


—13.26 


— 2 


—311 


300 


1.786 6.02 


1.66G 


2.81 


10 


+ 9.85 


4.301 


20 


834 


16.16 


2 


267 


400 


1.7621 6.57 


1.711 


3.54 


20 


19.83 


3.401 


19 


961 


18.58 


2 


215 








30 


29.80 


2.391 


17 


1053 


20.42 


2 


154 




1866. 


1871. 


Feb. 9 


8.77 


1.308 


15 


1105 


21.64 


1 


89 



























— 1.772 


+6.39 


+1.697 


—3.30 


19 


18.74 


-0.191 


13 


1117 


22.20 


— 1 


— 21 


100 


1.737 


6.91 


1.732 


4.00 


Mar. 1 


0.72 


+0.SJJ1 


10 


1088 


22.07 





+ 46 


200 


1.687 


7.3? 


1.753 


4.67 


1] 


10.69 


1.9G9 


8 


1021 


21.28 





HI 


300 


1.622 


7.7? 


1.759 


5.30 


21 


20.66 


2.942 


4 


920 


19.88 


+ 1 


169 


400 


1.543 


8.10 


1.750 


5.88 


31 


30.64 


3.798 


+ 1 


789 


17.93 


1 


220 




1S67. 


1875. 


100, Apr. 10 


9.61 


4.512 


- 1 


635 


15.51 


2 


262 


C 


—1.571 


+7.99 


-f-1.755 


—5.69 


20 


19.58 


5.063 


4 


465 


12.73 


2 


293 


100 


1.484 


8.27 


1.737 


6.24 


30 


29.55 


5.438 


6 


284 


9.69 


2 


313 


200 


1.383 


8.48 


1.705 


6.74 


May 10 


9.53 


5.629 


8 


+ 97 


6.51 


2 


321 


300 


1.270 


8.6* 


l.O 


7.18 


20 


19.50 


5.633 


9 


— 88 


3.30 


2 


319 


400 


1.147 


8.68 


1.599 7.57 


30 


29.47 


5.456 


11 


266 


— 0.17 


2 


307 




1868 15. 


187615. 


June 9 


8.44 


5.104 


11 


436 


+ 2 80 


2 


285 








19 


18.42 


4.589 


11 


591 


5.50 


2 


255 





—1.190 


+8.6? 


+1.621 


—7.45 


29 


28.39 


3.927 


10 


730 


7.87 


1 


218 


100 


1.060 


8.68 


1.552 


7.79 


July 9 


8.36 


3.134 


9 


851 


9.84 


+ I 


176 


200 
300 


0.920 
0.773 


8.61 

8.4? 


1.471 
1.378 


8.07 

8.28 


200, 19 


18.34 


2.232 


7 


950 


11.38 





130 


400 


0.620 


8.26 


1.273 


8.43 


29 


28.31 


1.241 


5 


1028 


12,43 





80 








Aug. 8 


7.28 


+0.184 


— 2 


1082 


12.97 


— 1 


+ 29 




1869. 


1877. 


18 


17.25 


—0.915 


+ 1 


1111 


13.00 


1 


— 23 





—0.673 


+8.34 
8.0? 


+1.309—8.39 


28 


27.23 


2.030 


4 


1115 


12.51 


2 


75 


100 


0.516 


1.19? 


8.48 


















200 


0.355 


7.74 


1.075 


8.51 


Sept. 7 


6.20 


3.136 


8 


1093 


11.50 


3 


126 


i 300 


0,191 


7.35 


0.944 


8.48 


17 


16.17 


4.207 


12 


1044 


10.00 


3 


175 


i 400 


02? 


6.89 


0.806 


8.36 


27 


26.14 


5.215 


16 


968 


8.02 


3 


221 








Oct. 7 


6 12 


6.135 


20 


866 


5.60 


4 


263 




187©. 


1878. 


17 


16.09 


6.939 


23 


739 


+ 2.78 


4 


300 



























—0.082 


+7.05 


+0.853 


—8.41 


300, 27 


26.06 


7.604 


27 


588. 


— 0.38 


5 


331 


i 100 


+0.082 


6.55 


0.7.10 


8.25 


Nov. 6 


5.04 


8.107 


30 


416 


3.82 


5 


355 


200 


0.246 


5.99 


0.560 


8.03 


16 


15.01 


8.430 


33 


228 


7.46 


5 


371 


! 300 


0.40? 


5.39 


0.405 


7.73 


26 


24.98 


8.559 


36 


— 28 


11.22 


5 


378 


400 


0.565 


4.74 


0.246 


7.38 


Dec. 6 


4.95 


8.486 


38 


+ 176 


14.98 


5 


374 




1871. 


1870. 


16 
26 
36 


14.92 
24.90 
34.87 


8.209 

7.736 

—7.080 


39 

40 

+40 


377 

508 
+740 


18.65 

22.12 

-25.27 


5 
5 

— 5 


359 
333 

—296 




j 100 

200 


+0.512 
0.666 
0.814 


+4.96 
4.29 
3.58 


+0.300 
+0.140 
- 0.022 


—7.51 
7.11 
6.65 


j 1 

m — _____ 


£ ' i 










1 300 


0.954 


2.84 


0.184 


6.13 








400 


1.086 


2^08 


0^345 


5^56 










1873 15. 


1SSOB. 




* 8 Mean Sun, May 19.2. 








1 




* 6 ©, Nov. 21.4. 







+1.043+2.34 


—0.291 


—5.76 j 




* 6 Mean Sun, Nov. 17.8. 




100 


1.1 69| 1.57 


0.451 


5.16 j 








i 200 


1.284+0.79 


0.607 


4.51 I 








300 


1.389| 0.00 


0.758 


3.83 


















400 


+1.482 


—0.78 


—0.904 


—3.11 | 

1 



380 



SPECIAL TABLES. 







TABLE XXIV— s Corona Borealis. 








h m 
R.A. 15 52.2. 


o / 

Dec. + 27 15. 








Upper transit at fictitious meridian. 








A a 




A d 


Side- 
real 


A Q, a 


W 


A ^ a 


A Q 6 




Sidereal Day. 


MeanDay. 








Day. 












1870. 


Var.in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s 


1873. 

s " 




i 

















100 


+0.377 
0.302 


+ 4.16 

4.85 


—0.661 
0.606 


—0.64 
1.43 




1 






















8 






n 






200 


0.224 


5.50 


0.547 


2.19 




0,Jan. 


— 0.12 


— 1.143 


— 1 


+261 


— 7.01 


+ 2 


—282 


300 


0.144 


6.11 


0.483 


2.94 




JO 


+ 9.85 


0.866 


2 


292 


9.73 


2 


259 


400 


0.063 


6.66 


0.415 


3.66 




20 


19.83 


0.563 


3 


313 


12.17 


2 


227 










30 


29.80 


-0.243 


3 


325 


14.25 


1 


187 




1866. 


1874. 




Feb. 9 


8.77 


+0.084 


3 


328 


15.88 


1 


140 





+0.090 


+6.48 


—0.438 


-3.42 




.19 


18.74 


0.410 


3 


323 


17.03 


1 


89 


100 


+0.008 


7.00 


0.368 


4.12 




Mar. 1 


0.72 


0.727 


3 


311 


17.65 


1 


— 35 


200 


—0.074 


7.45 


0.295 


4.79 




11 


10.69 


1.031 


3 


293 


17.74 


+ 1 


+ 18 
68 


300 


0.155 


7.84 


0.220 


5.41 




21 


20.66 


1.312 


3 


289 


17.30 





400 


0.235 8.16 


0.143 


5.99 




31 


30.64 


1.569 


2 


244 


16.40 





114 




1867. 


1875. 




100, Apr. 10 


9.61 


1.799 


2 


214 


15.06 





152 





—0.208+8.06 


—0.170 


-5.80 




20 


19.58 


1.996 


1 


182 


13.38 





185 


100 


0.287 


8.33 


0.092 


6.35 




30 


29.55 


2.162 


— 1 


149 


11.38 





209 


200 


0.364 


7.53 


—0.014 


6.84 




May 10 


9.53 


2.295 





115 


9.21 





224 


300 


0.437 


8.66 


+0.065 


7.28 




20 


19.50 


2.392 





80 


6.92 





231 


400 


0.506 


8.71 


0.143 7.66 




30 


29 47 


2.455 





44 


4.61 


— 1 


232 




1868 15. 


1876 B. 




June 9 


8.44 


2.481 


+ 1 


+ 8 


2.31 


1 


224 










19 


18.42 


2.472 


1 


— 27 


— 0.15 


— 1 


208 





—0.483 


+8.70 


+0.117 


—7.54 




29 


28.39 


2.427 


2 


61 


+ 1.83 





188 


100 


0.549 


8.70 


0.194 


7.87 




July 9 


8.36 


2.350 


2 


93 


3.59 





163 


200 
300 


0.610 
0.666 


8.62 
8.47 


0.269 
0.342 


8.14 
8.34 




200, 19 


18.33 


2.242 


2 


124 


5.08 





134 


400 


0.716 


8.25 


.0.413 


8.48 




29 


28.31 


2.104 


2 


151 


6.27 





103 










Aug. 8 


7.28 


1.943 


2 


172 


7.14 


+ 1 


69 




1869. 


1877. 




18 
28 


17.25 
27.23 


1.763 
1.572 


3 
3 


187 
195 


7 64 

7.78 


1 
1 


+ 32 
— 4 




100 
200 


-0.700 
0.746 
0.785 


+8.33 
8.06 

7.72 


+0.389 
0.458 
0.523 


—8.44 
8.53 
8.55 




Sept. 7 


6.20 


1.377 


3 


195 


7.56 


2 


41 


300 


0.817 


7.31 


0.583 


8.50 




17 


16.17 


1.185' 


3 


' 187 


6.95 


2 


80 


400 


0.843 


6.84 


0.639 


8.37 




27 


26.14 


1.007 


3 


169 


5.96 


3 


118 










Oct. 7 


6.12 


0.851 


2 


141 


4.60 


3 


153 




1870. 


1878. 




17 


16.09 


0.728 


2 


106 


2.90 


4 


188 





























—0.835 


+7.01 


+0.621 


—8 42 




300, 27 


26.06 


0.642 


1 


64 


+ 0.85 


4- 


221 


100 


0.8.15 


6.50 


0.673 


8.25 




Nov. 6 


5.03 


0.603 


1 


— 14 


— 1.51 


4 


249 


200 


0.868 


5.93 


0.720 


8.02 




16 


15.01 


0.616 


+ 1 


+ 39 


4.12 


4 


272 


300 


0.874 


5.32 


0.761 


7 71 




26 


24.98 


0.682 





92 


6.94 


5 


289 


400 


0.872 


4.66 


0.796 


7.34 




Dec. 6 


4.95 


0.800 





144 


9.88 


5 


299 




1871. 


1879. 




16 
26 
36 


14.93 

24.90 
34.87 


0.970 

1.186 

+1.442 




— 1 

— 2 


194 
237 

+273 


12 88 
15.85 

-18.70 


5 

5 

+ 6 


301 

293 

-275 



100 

200 
300 
400 


—0.8731+4.89 
0.806J 4.2 1! 
0.8521 3.49 
0.8.J0 1 2.?4; 
0.802: 1.98! 


+0.785 
0.816 

0.840 
0.857 
867 


—7.47 
7.06 
0.59 
6.06 
5.48 
























1872 B. 


1880 B. 






* 


6 0, Nov. 22.1. 






1 








* 


6 Mean Sun, Nov. 18.7. 




0— 0.812J+2.24 
lOOl 0.779 1.46 
200l 0.740. +0.67 
300 0.694—0.12 


+0.864 
0.869 
0.867 
0.857 


—5.68 

5.07 
4.42 
3.72 












400—0.643— 0.90 1 

1 ! 


+0.840—3.00 





SPECIAL TABLES. 



181 









TABLE XXIV.- 


-6 Scorpii. 






h m 
R.A. 15 52.6, 




/ 

Dec —22 15, ! 

j 


Upper transit at fictitious meridian. 














Iside- 






| 








A G a 




A Q <5 


real 


A Q a 


A oQ d 


A Q a ! A Q d 


Sidereal Day. 


MeanDay. 










|Day. 






| JO j 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


187©. 


Var. in Diff. for 

10 y. 1 10 d. 




1865.^ 


1873. 

s " 

















100 


+0.837+4.17 
0.750; 4.86 


—1.119—0.66 
















1.069 


1.44 






s 






a 




200 


0.656 5.51 


1.011 


2.21 


0,Jan. 


— 0.12 


—1.073 


— 3 


+289 


+ 4.12 


j— 82 


300 


0.556 6.12 


0.945 


2.96 • 


10 


+ 9.85 


0.771 


3 


3J5 


3.22 





97 


400 


0.451] 6.67 


0.871 


3.68 


20 


19.83 


0.445 


3 


332 


2.19 


+ 1 


108 






1 


30 


29.80 


-0.110 


4 


339 


+ 1.08 


1 


114 




1866. 


1874. 


Fob. 9 


8.77 


+0.230 


4 


339 


— 0.07 


1 


116 





+0.487+6.49 


—0 897—3.44 


19 


18.74 


0.566 


3 


332 


1.22 


1 


114 


100 


0.379 


7.01 


0.819 4.14 j 


Mar. 1 


' 0.72 


0.892 


3 


3J9 


2.34 


2 


109 


200 


0.268 


7.4G 


0.734, 4.81 


11 


10.69 


1.202 


3 


302 


3.39 


2 


100 


300 


0.154 


7.85 


0.643 5.43 


21 


20.66 


1.495 


2 


281 


4.34 


3 


90 


400 


0.039 


8.17 


0.547| 6.01 


31 


30.64 


1.763 


2 


258 


5.18 


3 


79 




1867. 


1 
1873. 


100, Apr. 10 


9.61 


2.010 


1 


234 


5.91 


4 


68 





+0.078 


+8.07 


—0.5801—5.82 1 


20 


19.58 


2.230 


— 1 


207 


6.54 


4 


58 


100 


—0.037 


8.34 


0.431 


6.36 


30 


29.55 


2.423 





179 


7.08 


3 


49 


200 


0.152 


8.54 


0.378 


6.86 


May 10 


9.53 


2.588 





149 


7.52 


3 


40 


300 


0.265 


8.60 


0.272 


7.29 


20 


19.50 


2.720 


+ 1 


117 


7.88 


3 


33 


400 


0.376 


8.71 


0.164 


7.67 : 


30 


29.47 


2.821 


2 


85 


8.18 


3 


26 




1868 B. 


1876 B. 


June 9 


8.44 


2.890 


2 


51 


8.40 


3 


20 








19 


18.42 


2.923 


3 


+ 16 


8.57 


3 


14 





—0.339 


+8.71 


— 0.20C 


—7.55 


29 


28.39 


2.922 


3 


— 20 


8.67 


3 


8 


100 


0.448 


8.70 


—0.091 


7.88 : 


July 9 


8.36 


2.884 


4 


54 


8.73 


3 


— 1 


200 


0.553 


8.63 


+o.o iy 


8.15 


















300 


0.6521 8.47 


0.12;- 


8.35'; 


200, 19 


18.34 


2.814 


4 


86 


8.70 


3 


+ 6 


400 


0.746| 8.25 


0.237 


8.48 


29 


28.31 


2.713 


5 


115 


8.61 


3 


14 








Aug. 8 


7.28 


2.585 


5 


140 


8.42 


3 


22 




I860. 


1877. 


18 


17.25 


2.436 


4 


157 


8.16 


2 


30 





—0.715 


+8.33 


+0.201J-8.45 : 

0.308 8.54 i 


28 


27.23 


2.274 


4 


167 


7.82 


2 


37 


100 


0.805 


8.06 


















200 


0.887 


7.72 


0.414 855 


Sept. 7 


6.20 


2.106 


4 


168 


7.42 


2 


44 


300 


0.961 


7.31 


0.516 


8.50 


17 


16.17 


1.942 


4 


159 


6.95 


2 


49 


400 


1.027 


6.83 


0.614 


8.37 


27 


26.14 


1.792 


4 


140 


6.45 


1 


51 










Oct. 7 


6.12 


1.665 


3 


111 


5.95 


1 


49 




187©. 


1878. 


17 


16.09 


1.572 


3 


73 


5.49 


1 


44 





—1.0061+7.00 


+0.581 —8.42 ! 


300, 27 


26.06 


1.521 


2 


— 27 


5.09 


1 


35 


100 


1.066 


6.49 


0.676 


6.25 


Nov. 6 


5.03 


1.519 


2 


+ 24 


4.81 


2 


22 


200 


1.116 


5.92 


0.766 


8.01 | 


16 


15.01 


1.570 


1 


77 


4.66 


2 


+ 6 


300 


1.157 


5 31 


0.849 


7.71 j 


26 


24.98 


1.674 


-h I 


130 


4.69 


3 


— 13 


400 


1.188 


4.65 


0.920 


7.34 


Dec. 6 


4.95 


1.830 





182 


4.92 


3 


33 




1871. 


1870. 


16 
26 
36 


14.93 
24.90 
34.87 


2.037 

2.287 
+2.573 


— 1 


229 

269 
+300 


5.35 

5.98 
— 6.78 


4 

4 

+ 4 


53 
72 

— 88 



100 
200 
300 


—1.179 

1.203 
1.217 

1.220 


+4.88 
4.19 
3.48 
2.73 


+0.9001—7.47 
0.9721 7.05 
1.030 6.58 
1 091 ! 6 05 














400 


1.213 


1.96 


1.137 5.47 












! 




1872B. 


1SSO B. 




* ( 


5 0, 


Nov. 22 


2. 












* < 


5 Mean S 


un, Nov. 18 


.8. 




C 
100 
200 
300 

400 


—1.2161+2.21 
1.203 1.4C 
1.179+0. 67 
1.14b— 013 

—1.102!— 0.92 


+ 1.123— 5. 67 
1.163 5.06 
1.193 4 4D 
1.213 3.71 

+1.223,-2.98 



182 



SPECIAL TABLES. 




SPECIAL TABLES. 



183 





TABLE XXIV.—* 81 Draconis (B): Groombridge 2320. 




h in 

R.A. 16 6.0. 


o / 

Dec. + 63 9. 




< 


Upper transit at fictitious meridian. 


Sidereal Day. 


Mean Day. 


A Q a 


A c> 


Side- 
real 
Day. 


A Q a 


A n d 


i 






















1870. 


Var. in Diff. for 
lOy. 10 d. 


1870. 


Var. in 

10 y. 


Diff. foi- 
10 d. 




1865. 

8 


1873. 

8 " 



















100 


—0.564 
0.606 


+4.60 

5.28 


+0.30!) 
0.368 


—1.08 

1.87 






















s 






// 






200 


0.643 


5.92 


0.424 


2.63 


0,Jan. 


— 0.11 


-2.937 


+ 3 


+389 


-11.08 


+ 1 


—333 


300 


0.674 


6.50 


0.476 


3.38 


10 


+ 9.87 


2.502 


3 


477 


14.83 





294 


400 


0.700 


7.03 


0.524 


4.09 


20 


19.84 


1.987 


2 


549 


17.54 





245 








30 


29.81 


1.409 


2 


602 


19.71 





188 




1866. 


1871. 


Feb. 9 


8.78 


0.783 


+ 1 


635 


21.27 





124 



























—0.692 


+6.86 


+0.508 


—3.86 


19 


18.76 


—0.145 





646 


22.18 





— 57 


100 


0.714 


7.35 


0.553 


4.55 


Mar. 1 


0.73 


+0.497 





635 


22.40 





+ 12 


200 


0.729 


7.77 


0.594 


5.20 


11 


10.70 


1.119 


— 1 


605 


21.95 





79 


300 


0.738 


8.13 


0.629 


5.81 


21 


20.68 


1.700 


1 


556 


20.84 





141 


400 


0.741 


8.41 


0.660 


6.37 


31 


30.65 


2.225 


2 


492 


19.15 





197 




1867. 


1875. 


100, Apr. 10 


9.62 


2.680 


2 


415 


16.94 





244 





—0.741 -{-8.33 


+0.650—6.19 


20 


19.59 


3.052 


2 


329 


14.31 





281 


100 


0.739 


8.56 


0.677 


0.71 


30 


29.56 


3.335 


2 


236 


11.36 





307 


200 


0.731 


8.73 


0.698 


7.18 


May 10 


9.54 


3.522 


3 


139 


8.21 





322 


300 


0.717 


8.81 


0.713 


7.59 


20 


19.51 


3.612 


3 


+ 41 


4.96 





326 


400 


0.696 


8.82 


0.723 


7.94 


30 


29.48 


3.604 


2 


— 56 


— 1.73 





320 




1868 B. 


1876 B. 


June 9 


8.46 


3.500 


2 


150 


+ 1.40 





303 








19 


18.43 


3.305 


2 


239 


4.31 





279 





—0.704 


+8.83 


+0.720 


—7.83 


29 


28.40 


3.025 


1 


321 


6.95 





247 


100 


0.679 


8.79 


0.726 


8.13 


July 9 


8.37 


2.666 


— 1 


394 


9.23 





208 


200 
300 


0.619 
0.613 


8.67 

8.47 


0,725 
0.719 


8.37 
8.54 


200, 19 


18.35 


2.239 





458 


11.09 





165 


400 


0.571 


8.21 


0.700 


8.63 


29 


28.32 


1.754 


+ 1 


511 


12.51 





118 








Aug. 8 


7.29 


1.222 


1 


551 


13.44 





68 




1869. 


1877. 


18 


17.26 


0.656 


2, 


578 


13.85 





+ 16 





—0.586 


+8.30 
7.99 


+0.71 i 
0.(595 


—8.61 


28 


27.24 


+0.070 


3 


591 


13.75 





— 36 


100 


0.54! 


8.66 


















200 


0.492 


7.61 


0.67 3 


8.64 


Sept. 7 


6.21 


—0.520 


4 


588 


13.12 





89 


300 


0.439 


7.16 


0.645 


8.55 


17 


16.18 


1.100 


4 


568 


11.98 





140 


400 


0.382 


6.65 


0.612 


8.33 


27 


26.16 


1.651 


5 


532 


10.34 





189 








Oct. 7 


6.13 


2.159 


6 


480 


8.22 





235 




1870. 


1878. 


17 


16.10 


2.606 


6 


411 


5.66 





276 



























—0.401 


+6.83 


+0.6241-8.45 


300, 27 


26.07 


2.976 


7 


328 


+ 2.71 


+ 1 


313 


100 


0.342 


6.28 


0.583 8.24 


Nov. 6 


5.04 


3.257 


7 


232 


— 0.58 




343 


' 200 


0.230 


5.68 


0.546! 7.96 


16 


15.02 


3.437 


8 


126 


4.12 




365 


300 


0:216 


5 03 


0.50JI 7.61 


26 


24.99 


3.506 


8 


— 12 


7.84 




373 


400 


0.150 


4.35 


0.450| 7.21 


Dec. 6 


4.96 


3.461 


8 


+104 


11.64 




380 




1871. 


1879. 


16 
26 
36 


14.94 
24.91 

34.88 


3.300 

3.027 

-2.651 


8 

7 

+ 7 


218 

326 

+424 


15.41 

19.04 

-22.41 


+ 1 


372 

352 
-320 



100 
200 


—0.173 

0.106 

—0.038 


+ 1.58 
3.H7 
3.13 


+0.468 
0.415 
0.359 


-7.35 
6.90 
6.39 














300 


+0.02. 
0.096 


2.36 


0.299 


5.83 










400 


1.57 


0.237 


5^22 












1872 B. 


1880 B. 




$c 8 Mean S 


un, May 23.6. 












* 6 0, 


Nov. 25.4. 







+0.074 


+ 1.34 


+0.2581—5.43 




>jc 6 Mean £ 


>un, Nov. 22.2. 




100 


0.140 


1.05 


0.194 4.79 










200 


0.205 


+0.25 


0.129; 4.10 










300 


0.289 


—0.55 


+0.062 1 3.38 










400 


+0.329 


-1.35 


—0.005!— 2.62 



181 



SPECIAL TABLES. 









TABLE XXIV.-<5 Ophiuchi. 






h m 

R.A. 16 7.5. 




o / 

Dfec. — 3 21. 


Upper transit at fictitious meridian. 


Sidereal Day. 




A Q a 


A <5 


Side- 
re «1 
Day. 


A Cl a 


A rf 


A a a 


A Q< 


Mean Day. 
























1870. 


Var.ia 

10 y. 


Diff. for 
10(1. 


1S70. 


Var. in 

10y. 


Diff for 
10(1. 




1865. 

s " 


1873. 

s " 



















100 


+0.662+4.64 
0.579; 5.3* 


—0.944 
0.893 


-1.14 
1.93 






















a 






// 






200 


0.49 1| 5.96 


0.835 


2.69 


0, Jan. 


— 0.11 


—1.059 


2 


+254 


— 0.29 





—167 


300 


0.398i 6.54 


0.769 


3.44 


10 


-f 9.87 


0.790 


2 


280 


1.96 





167 


400 


0.302, 7.07 


0.698 4.15 


20 


19.84 


0.5-01 


2 


298 


3.4*1 


+ 1 


160 








30 


29.81 


—0.196 


3 


309 


5.15 


1 


147 




1S6G. 


1871. 


Feb. 9 


8.78 


+0.114 


3 


311 


6.54 


1 


130 





+0.335 


+6.90 


—0.722 


—3.91 


19 

Mar. 1 

11 

21 


18.76 

0.73 

10.70 

20.67 


0.423 
0.725 
1.016 
1.291 


3 
3 
3 

2 


306 

297 
283 
265 


7.73 

8.67 
9.36 
9.77 


1 

2 
2 
2 


107 

82 

55 

— 27 


100 
200 
300 
400 


0.236 

0.136 

+0.035 

—0.067 


7.38 
7.80 
8.10 
8.44 


0.647 
0.566 
0.481 
0.392 


4.60 
5.25 
5.86 
6.42 


31 


30.65 


1.546 


2 


245 


• 9.90 


2 







1867. 


1875. 


100, Apr 10 


9.62 


1.781 


1 


223 


9.77 


2 


+ 24 





—0.033 


+8.35 


-0.423 


—6.24 


20 


19.59 


1.992 


1 


199 


9.43 


2 


44 


100 


0.134 


8.59 


0.332 


6 76 


30 


29.56 


2.180 


— 1 


173 


8.90 


2 


61 


200 


0.234 


8.74 


0.238 


7.22 


May 10 


9.54 


2.339 





145 


8.23 


2 


74 


300 


0.332 


8.83 


0.142 


7.63 


20 


19.51 


2.470 





116 


7.44 


2 


83 


400 


0.427 


8.83 


0.046 


7.97 


30 


29.48 


2.572 


+ 1 


8i^ 


6.59 


2 


88 




1868 B. 


1876 B. 


June 9 


8.45 


2.642 


1 


54 


5.70 


2 


89 








19 


18.43 


2.679 


2 


+ 21 


4.83 


2 


86 





—0.396 


+8.84 


—0.078 


—7.86 


29 


28.40 


2.685 


2 


— 12 


3.99 


2 


81 


100 


0.488 


8.79 


+0.019 


8.16 


July 9 


8.37 


2.656 


2 


45 


3.21 


2 


75 


200 


0.577 


8.67 


I 0.116 


8.40 
















300 


660 


8.47 


0.211 


8.56 


200, 19 


18.35 


2.596 


3 


75 


2.49 


2 


68 


400 


0.737 


8.20 


0.306 


8.65 


29 


28.32 


2.507 


3 


104 


1.86 


2 


59 








Aug. 8 


7.29 


2.390 


3 


129 


1.31 


2 


50 




I860. 


1877. 


18 


17.26 


2.252 


3 


146 


0.87 


2 


39 





-0.712 


+8.30 


+0.274!— 8.63 


28 


27.24 


2.101 


3 


157 


0.54 


2 


27 


100 
200 


0.784 

0.850 


7.9e 

7.50 


0.367! 8. 68 
0,457; 8.65 


Sept. 7 


6.21 


1.941 


4 


162 


0.33 


2 


15 


300 


0.908 


7.14 


0.543i 8.55 


17 


16.18 


1.781 


4 


157 


0.25 


2 


+ 1 


400 


0.959 


6.63 


0.625 8.38 


27 


26.15 


1.631 


3 


141 


0.32 


2 


— 14 








Oct. 7 


6.13 


1.502 


3 


116 


0.53 


o 


30 




1870. 


1878. 


17 


16.10 


1.401 


3 


83 


0.91 


2 


48 





—0.943 +6. 80 


+0.598-8.45 


300, 27 


26.07 


1.338 


2 


— 44 


1.49 


2 


67 


100 


0.988; 6.25 


; 0.677 


8.23 


Nov. 6 


5.05 


1.315 


2,+ 1 


2.26 


3 


86 


200 


1.024 5.6i 


0.75C 


7.95 


16 


15 02 


1.341 


+ 1 | 50 


3.22 


3 


106 


300 


1.051! 5.00 


i 0.817 7.60 


26 


24.99 


1.416 


o ! ioo 


4.38 


4 


126 


400 


1.069J 4.31 


! 0.878| 7.18 


Dec. 6 


4.96 


1.541 


1 149 


5.73 


4 


143 




1871. 


1879. 


1G 

26 


14.94 

24.91 


1.713 

1.928 



— 1 


194 
233 


7.22 

8.84 


4 
4 


156 
164 



100 


—1.064 
1.076 


+4.55 
3.83 


+0.858'— 7.33 
0.914 C).SS 


36 


34. 88 


+2.177 


— 1 


+264 


—10.49 


+ 5 


—166 


200 
300 
400 


1.079 
1 073 
1.057 


3.0b 
2.31 
1.53 


0.963; 6.3)6 
1.003 5.79 
1.036; 5.18 




























1872 B. 


1880 B. 




* 


5 0, 


Nov. 25 


.8. 








1 




* 


5 Mean g 


un, Nov. 2x 


t.6. 







—1.064+1.79 


+1.020-5.39 














100 


1.042J 1.0( 


1.052 


4.74 














200 


1.012+0.21 


1.070 


4.05 














300 


0.974—0.01 


! 1.079 


3.32 


i 












400 


— 0.928— J. 41 


+1.079-2.57 



SPECIAL TABLES. 



185 









TABLE XXIV.- 


t Hcrculis. 






h in 
R.A. 16 15.8. 


/ 

Dec. + 46 37. 


Upper transit at fictitious meridian. 














Side- 
















A Q « 




A ©<> 


real 
Day 


A Q a 


A ^ 5 


A n a 


A Cl 6 


Sidereal Day. 


Mean Day. 




















1870. 


Var.in 

10y. 


Diff. foi 

10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 


1873. 

s " 



















100 


+0.140 

0.077 


+4.90 
5.57 


—0.400 
0.348 


—1.40 
2.19 






















s 






// 






200 


+0.013 


6.20 


0.293 


2.96 


0, Jan. 


— 0.10 


—1.621 


— 1 


+261 


— 9.10 


+ 2 


—330 


300 


—0.051 


6.76 


0.235 


3.70 


10 


+ 9.87 


1.335 


1 


308 


12.25 


2 


209 


400 


0.115 


'7.27 


0.176 


4.40 


20 


19.84 


1.008 


2 


344 


15.05 


3 


258 








30 


29.82 


0.650 


2 


370 


17.30 


3 


208 




1866. 


1874. 


Feb. 9 


8.79 


—0.272 


2 


384 


19.19 


2 


152 





—0.093+7.11 


—0.196 


—4.17 


19 


18.76 


+0.115 


2 


388 


20.41 


2 


91 


100 


0.157 


7.58 


0.136 


4.85 


Mar. 1 


0.73 


0.500 


2 


381 


20.99 


1 


— 25 


200 


0.219 


7.98 


0.076 


5.49 


11 


10.71 


0.874 


3 


365 


20.91 


1 


+ 39 


300 


0.279 


8.31 


—0.014 


6.09 


21 


20.68 


1.227 


S 


340 


20.23 


+ 1 


98 


400 


0.336 


8.58 


+0.048 


6.63 


31 


30.65 


1.552 


o 


309 


18.97 





154 




1867. 


1875. 


100, Apr. 10 


9.62 


1.843 


2 


272 


17.17 





203 





—0.317 


+8.50 


+0.027 


—6.46 


20 


19.60 


2.095 


2 


231 


14.94 


— 1 


241 


100 


0.373 


8.7J 


0.089 


6.96 


30 


29.57 


2.304 


2 


186 


12.38 


1 


271 


200 


0.425 


8.84 


0.149 


7.41 


May 10 


9.54 


2.467 


1 


139 


9.56 


— 1 


290 


300 


0.474 


8.90 


0.209 


7.80 


20 


19.52 


2.582 


— 1 


91 


6.61 





299 


400 


0.518 


8.88 


0.266 


8.13 


30- 


29.49 


2.648 





+ 41 


3.61 





299 




1868 B. 


1876 B. 


June 9 


8.46 


2.663 





— 9 


— 0.66 





290 








19 


18.43 


2.631 





57 


+ 2.16 





272 





—0.504 


+8.90 


+0.247 


—8.02 


29 


28.41 


2.550 


+ 1 


103 


4.76 





246 


100 


0.545 


8.82 


0.303 


8.30 


July 9 


8.38 


2.425 


2 


147 


7.06 





214 


200 
300 


0.582 
0.613 


8.68 
8.45 


0.356 
0.407 


8.52 
8.66 


200, 19 


18.35 


2.258 


2 


187 


9.03 





178 


400 


0.639 


8.16 


0.454 


8.73 


29 


28.32 


2.053 


2 


2-22 


10.61 





137 








Aug. 8 


7.30 


1.817 


3 


251 


11.77 





93 




1869. 


1877. 


18 


17.27 


1.553 


3 


272 


12.47 





+ 47 





—0.631 


+8.26 
7.92 


+0.441 

0.483 


—8.71 


28 


27.24 


1.275 


3 


285 


12.70 


+ 1 


— 1 


100 


0.654 


8.74 


















200 


0.670 


7.51 


0.524 


8.68 


Sept. 7 


6.21 


0.986 


3 


289 


12.45 


1 


49 


300 


0.681 


7.03 


0.561 


8.56 


17 


16.19 


0.700 


3 


281 


11.72 


1 


97 


400 


0.686 


6.50 


0.593 


S 37 


27 


26. J 6 


0.427 


3 


t63 


10.51 


2 


143 








Oct. 7 


6.13 


+0.178 


3 


234 


8.86 


2 


188 




1870. 


1878. 


17 


16.11 


—0.037 


3 


195 


6.75 


3 


231 



























-0.685 


+6.68 


+0.583 


—8.44 


300, 27 


26.08 


0.209 


2 


147 


4.25 


3 


269 


100 


0.686 


6.11 


0.612 


8.21 


Nov. (5 


5.05 


0.328 


2 


90 


+ 1.39 


3 


302 


200 


0.681 


5.49 


0.636 


7.90 


1C 


15.02 


0.387 


2 


— 28 


— 1.77 


3 


329 


300 


0.670 


4.82 


0.655 


7.52 


2(5 


25.00 


0.382 


1 


+ 38 


5.16 


4 


347 


400 


0.654 


4.11 


0.668 


7.09 


Dec. G 


4.97 


0.311 


+ 1 


104 


8.68 


4 


356 




1871. 


1879. 


16 

2(5 
30 


14.94 
24.91 
34.89 


—0.175 

+0.024 
+0.279 







168 

228 
+280 


12.25 

15.76 

—19.08 


4 

4 

+ 4 


355 

343 

-319 



100 
200 


—0.660 
0.640 
0.614 


+4.35 
3.62 

2.86J 


+0.664 
0.674 
0.678 


—7.24 
6.76 
(5.23 












1 


300 


0.584 


2 08. a «~~ 


5.64 
5.00 












400 


0^548 


1.28 


o!o7o 














1872 B. 


1880 B. 




* 6 


0, 


Nov. 27.7. 












* 6 


Mean Si 


m, Nov. 24.7. 







-0.561 


+ 1.55 


+0.673 


—5 23 












100 


0.522 


+0.74 


0.662 


4.56 












200 


0.479 


—0.06 


0.646 


3.85 












300 


0.433 


0.8v 


0.623 


3.11 












400 


—0.383 


—1.67 


+0.596—2.34 



186 



SPECIAL TABLES. 







TABLE XXIV— v Draconis. 






h m • ° ' 
R.A. 16 22.2. Dec. + 61 49. 


Upper transit at fictitious meridian. 


Sidereal Day. 


MeanDay. 


A Q a 


A S Slde - 

A^d l real 
U .Day. 


A U a 


A Q<5 


A Q a 


A Q<> 


j 




I 












1fc! , ft iVar.inDiff. for 
1*7 V. j 10y. 1 10 d. 


1870. 


Var.in 
10 y. 


Diff. for 
10 d. 




1865. 

s 


1873. 

s " 



















—0.219 
0.265 


+5.10 

5.76 


—0.011 
+0.039 


—1.60 
2.39 








1 










100 






D 






// 






200 


0.309 


6.38 


0.088 


3.16 


0,Jan. 


— 0.10 


-2.421 





+305 


—10.17 


+ 1 


-343 


300 


0.351 


6.93 


0.137 


3.89 


10 


+ 9.87 


2.079 


ol 


377 


13.46 


1 


310 


400 


0.390 


7.43 


0.184 


4.59 


20 


19.85 


1.673 





437 


16.34 


1 


265 








30 


29.82 


1.211 





483 


18.73 


+ 1 


210 




1866. 


1874. 


Feb. 9 


8.79 


0.714 


— 1 


511 


20.52 





148 





—0.377 


+7.2? 


+0.169—4.36 


19 
Mar. 1 


18.77 
0.74 


—0.196 
-j-0.326 


1 

1 


523 

518 


21.68 
22.18 






83 
— 16 


100 
200 
300 


0.413 
0.446 
0.475 


7.72 
8.11 

8.43 


0.215 
0.260 
0.303 


5.04 
5.68 
6.26 


11 


10.71 


0.835 


1 


500 


22.00 





+ 51 


400 


0.500 


8.67 


0.343 


6.79 


21 


20.68 


1.317 


2 


468 


21.16 





116 










31 


30.66 


1.766 


2 


422 


19.70 


— 1 


175 




1867. 


1875. 


100, Apr. 10 


9.63 


2.161 


2 


368 


17.69 




225 





—0.492 


+8.6C 


+0.329—6.62 


20 


19.60 


2.498 


2 


305 


15.23 




265 


100 


0.514 


8.79 


0.367 


7.12 


30 


29.57 


2.768 


2 


236 


12.42 




295 


, 200 


0.531 


8.91 


0.402 


7.55 


May 10 


9.55 


2.967 


1 


164 


9.36 




315 


300 


0.544 


8.9.' 


0.434 


7.93 


20 


19.52 


3.092 


1 


88 


6.15 






324 


400 


0.552 


8.91 


0.462 


8.24 


30 


29.49 


3.141 


1 


+ 12 


— 2.90 






323 




1868 B. 


1876 JS. 


June 9 
19 
29 

July 9 


8.46 
18.44 
28.41 

8.38 


3.115 
3.016 
2.846 
2.612 


— 1 






— 62 
134 

202 
265 


+ 0.27 
3.30 
6.08 
8.54 









312 

292 
263 

228 



100 
200 

; 300 


—0.550 
0.554 
0.554 
0.549 


+8.93 
8.84 
8.6? 
8.43 


+0.453 
0.478 
0.500 

I 0.518 


-8.14 

8.41 
8.60 
8.73 


200, 19 


18.36 


2.318 


+ 1 


321 


10.63 







189 


400 


0.540 


8.12 


0.531 


8.78 


29 


28.33 


1.972 


1 


369 


12.30 







144 




I860. 


1877. 


Aug. 8 


7.30 


1.582 


1 


408 


13.50 







96 




°18 


17.27 


1.158 


2 


437 


14.21 







+ 46 





—0.544 


+8.23 


+0.626 


-8.77 


28 


27.25 


0.712 


2 


453 


14.41 


+ 




— 6 


100 
200 


0.531 
0.514 


7.8? 
7.44 


1 0.53? 
543 


8.77 
8.71 


Sept. 7 


6.22 


+0.256 


3 


456 


14.09 






58 


300 


0.491 


6.94 


0.544 


8.57 


17 


16.19 


—0.197 


3 


446 


13.26 






110 


! 400 


0.466 


6.39 


0.541 


8.36 


27 


26.16 


0.633 


3 


422 


11.90 






160 


1 






Oct. 7 


6.14 


1.038 


4 


384 


10.07 






207 




1870. 


1878. 


17 


16.11 


1.399 


4 


333 


7.77 






251 





























—0.475 


+6.58 


+0.5431—8.43 


300, 27 


26.08 


1.701 


4 


269 


5.06 






291 


| 100 


0.447 


6.00 


0.537 


8.18 


Nov. 6 


5.06 


1.934 


4 


193 


+ 1.96 






325 


200 


0.414 


5.36 


0.526 


7.85 


16 


15.03 


2.085 


4 


108 


— 1.42 




2 


351 


! 300 


0.378 


4.6? 


0.511 


7.46 


26 


25.00 


2.149 


4 


— 18 


5.03 




2 


370 


i 400 


0.340 


3.95 


0.492 


7.01 


Dec. 6 


4.97 


2.121 


3 


+ 75 


8.78 




2 


377 


1 


1871. 


1879. 


16 


14.95 


2.001 


3 


167 


12.54 




2 


373 


o 


—0.353 4-4.20 


+0.499—7.17 


26 


24.92 


1.790 


2 


254 


16.21 




2 


359 


100 


0.312 


3.40 


0.47? 


6.67 


36 


34.89 


—1.497 


+ 2 


+333 


—19.68 


+ 


2 


—332 


200 


0.269 


2.69 


0.452 


6.12 


















! 300 
j 400 


0.225 

0.170 


1.89 
1.09 


* 0.422 
0.38a 


5.52 
4.87 
















1872 B. 


18SO B. \ 




* 
* 


6 ©, Nov. 29.2. 
c5 Moau Sun, Nov. 26.3. 


c 

100 


—0.192+1.36 
0.144+0.56 


+0.400 
i 0.364 


—5.09 ,| 
4.41 








200 


0.094—0.26 


0.326 


3.69 








300 


—0.044: 1.07 


0.284 


2.94 








400 


+0.000 — 1.8? 


+0.240 


—2.16 



SPECIAL TABLES. 



187 



TABLE HIV.— * A Draconis. 

o 

Dec. + 69 



h m 

R.A. 16 28.2. 



Upper transit at fictitious meridian. 



Sidereal Day. 



0,Jan. 
10 
20 
30 

Feb. 9 

19 
Mar. 1 
11 
21 
3J 

100, Apr. 10 

20 

30 

May 10 

20 

30 

June 9 

19 

29 

July 9 



200, 



19 

29 



Aug. 
18 

28 

Sept. 7 
17 
27 

Oct. 7 
17 

300, 27 

Nov. 6 

16 

26 

Dec. 6 

16 

26 
36 



Mean Day. 



— 0.09 

+ 9.88 

19.85 

29.83 

8.80 

18.77 
0.74 
10.72 
20.69 
30.66 

9.64 
19.61 
29.58 

9.55 
19.53 

29.50 

8.47 

18.44 

28.42 

8.39 

18.36 
28.33 
7.31 
17.28 
27.25 

6.22 
16.20 
26.17 

6.14 
16.12 

26.09 

5.06 

15.03 

25.01 

4.98 

14.95 
24.92 
34.90 



^O a 



1S70. 



-3.261 

2.866 
2.378 
1.815 
1.197 

-0.545 

+0.119 

0.773 

1.396 

1.970 

2.479 
2.909 
3.251 
3.496 
3.641 

3.683 
3.623 
3.465 
3.212 

2.873 

2.455 
1.969 
1.426 
0.839 
+0.224 

-0.405 
1.031 
1.636 
2.204 
2.715 

3.155 
3.506 
3.756 
3.896 
3.916 

3.816 
3.597 
-3.267 



Var. in Diff. for 
10 y. 10 d 



+ 3 
3 
3 
2 
2 

1 

+ 1 



— 1 

1 
2 
2 

2 
2 

2 
2 
2 
2 
1 

— 1 



+ * 



7 
f 7 



+345 
444 

528 
594 
639 

661 
662 
642 
601 
544 

472 

388 

294 

195 

+ 94 

- 9 
110 

206 
297 
380 

454 
517 

567 
604 
625 

630 
615 
589 
542 



398 

303 

196 

— 81 

+ 40 

160 

276 

+383 



A 0<* 



1870. 



-10.18 
13.47 
16.36 

18.75 
20.57 

21.74 
22.24 
22.06 
21.21 
19.74 

17.73 

15.26 

12.42 

9.32 

6.08 

- 2.79 

+ 0.43 

3.49 

6.31 

8.82 

10.94 
12.64 
13.87 
14.61 
14.83 

14.53 
13 71 
12.38 
10.55 

8.25 

5.54 

+ 2.45 

— 0.95 

4.56 

8.31 

12.08 

15.76 

—19.24 



Var. in 

10 y. 



* 8 Mean Sun, May 29.2. 

* d 0, Nov. 30.6. 

* 6 Mean Sun, Nov. 27.8. 



Diff. foi- 
10 d 



—344 
311 
266 
212 
150 

84 

— 15 
+ 52 

116 
176 

226 

267 
299 
319 
328 

327 
316 

296 
267 
232 

192 
147 

98 
+ 48 

— 4 

56 
108 
159 
207 
251 

291 

325 
352 
370 

378 

375 
360 
-333 



Side 
real 
Day 




100 

200 
300 
400 




100 
200 
300 

400 



And 



1865. 



-0.536 
0.565 
0.589 
0.609 
0.622 



+5.28 
5.93 
6.54 
7.08 
7.57 



1866. 

0.618+7.41 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 



0.629 
0.634 
0.633 
0.627 



7.86 
8.23 
8.53 
8.76 



v Q ff 



AniJ 



1873. 



1867. 

—0.6291+8.69 

8.8 
8.9 
8.99 
8.93 



0.620 
0.604 
0.584 
0.558 



1S68B. 



-0.568 
0.539 
0.505 
0.468 
0.426 



+8.96 

8.8 
8.67 
8, 
8.07 



1869. 



-0.440 
0.396 
0.347 
0.298 
0.246 



+8.19 
7.81 
7.37 
6.86 
6.29 



1870. 

—0.264 +6.49 
0.209 5.88 
0.154 5.23 
0.096 4.53 
0.038 3.80 



1871. 



-0.058 
0.000 
+0.057 
0.115 
0.170 



+4.05 
3.30 
2.52 
1.72 
0.91 



+0.343 
0.389 
0.431 
0.470 
0.505 



-1.79 
2.58 
3.34 
4.07 
4.77 



1S74. 



+0.494 
0.526 
0.554 
0.577 
0.596 



—4.54 
5.21 
5.84 
6.42 
6.94 



1875. 



'+0.590 
0.605 
0.615 
0.620 
0.621 



-6.77 
7.25 
7.68 
8.04 
8.34 



1876 B. 



+0.621 
0.618 
0.609 
0.596 
0.577 



-8.25 
8.49 
8.67 
8.78 
8.82 



1877. 

+0.584 -8.82 



0.562 
0.536 
0.506 
0.471 



8.80 
8.72 
8.56 
8.34 



1S7S. 



+0.483 
0.445 
0.404 
0.360 
0.311 



—8.42 
8.15 
7.81 
7.40 
6.93 



1879. 



+0.328 
0.278 
0.226 
0.172 
0.116 



-7.09 
6.59 
6.02 
5.40 
4.74 



1SSO 



1872 B. 

+0.152|+1.18 +0.135 
0.207+0.37IJ 0.078 
0.260l— 0.45j+0.02l 
0.311! 1.26!!— 0.037 

+0.359:- 2.06!— 0.094 



—4.97 

4.28 

3.54 

2.78 

—1.99 



188 



SPECIAL TABLES. 







TABLE IXIV.- 


-, 

Z Ophiuchi. 






h m 
R.A. 16 30.0. 




» o / 

Dec. — 10 18. 


Upper transit at fictitious meridian. 






A Q ff 




v 


Side- 
real 


A ^ a 


*n* 


A Q« 


A fl* 


Sidereal Day. 


Mean Day. 








Day. 
































1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 

10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

s " 


















0+0.715 


+5.32 
5.98 


-1.003 
0.951 


—1.86 
2.64 


















100 


0.629 






s 






// 






200 


0.538 


6.58 


0.891 


3.40 


0, Jan. 


— 0.09 


—1.147 


— 3 


+243 


+ 0.96 





-124 


300 


0.441 


7.12 


0.824 


4.14 


30 


+ 9.88 


0.888 


3 


272 


— 0.31 





129 


400 


0.341 


7.60 


0.751 


4.83 


20 


19.85 


0.605 


3 


294 


1.60 


+ 1 


128 








30 


29.83 


-0.303 


3 


308 


2.85 


1 


122 




1866. 


1874. 


Feb. 9 


8.80 


+0.008 


3 


313 


4.03 


1 


112 


o 


+0.375 


+7.45 


—0.776 


—4.60 


19 


18.77 


0.321 


3 


312 


5.08 


1 


97 


100 0.273 


7.89 


0.699 


5.27 


Mar. 1 


0.74 


0.630 


3 


306 


5.£i 


1 


78 


.200 0.168 


8.26 


0.615 


5.89 


11 


10.72 


0.932 


3 


297 


6.63 


1 


58 


300+0.062 


8.56 


0.527 


6.47 


21 


20.69 


1.222 


2 


282 


7.11 


2 


38 


; 400 


—0.045 


8.78 


0.435 


6.99 


31 


30.66 


1.495 


2 


264 


7.39 


2 


— 17 


i 


1867. 


1875. 


100, Apr. 10 


9.63 


1.750 


2 


245 


7.46 


2 


+ 2 





— 0.009'+8.71 


—0.466 


—6.82 


20 


19.61 


1.985 


2 


224 


7.35 


2 


18 


100 


0.116! 8.89 


0.372 


7.30 


30 


29.58 


2.197 


1 


199 


7.10 


3 


32 


! 200 


0.221 8.98 


0.274 


7.72 


May 10 


9.55 


2.382 


— 1 


172 


6.72 


3 


42 


i 300 


0.325 


9.00 


0.174 


8.08 


20 


19.52 


2.541 





143 


6.26 


3 


49 


400 


0.425 


8.94 


0.073 


8.37 


30 


29.50 


2.668 





112 


5.74 


3 


54 




1868 B. 


1876 B. 


June 9 


8.47 


2.764 


+ 1 


80 


5.19 


3 


56 








19 


18.44 


2.827 


2 


46 


4.63 


2 


55 





—0.392+8.9/ 


—0.107—8.28 


29 


28.42 


2.855 


2 


+ 10 


4.10 


2 


53 


100 


0.490 


8.85 


—0.005 


8.52 


July 9 


8.39 


2.846 


2 


— 27 


3.58 


2 


50 


200 
300 


0.584 
0.672 


8.66 
8.40 


+0.097 
0.1 9& 


8.70 
8.80 


200, 19 


18.36 


2.801 


3 


61 


3.11 


2 


46 


400 


0.755 


8.06 


0.29? 


8.83 


29 


28.33 


2.724 


3 


92 


2.67 


2 


42 








Aug. 8 


7.31 


2.617 


3 


120 


2.28 


2 


37 




1869. 


1S77. 


18 


17.28 


2.485 


3 


143 


1.92 


2 


32 





—0.728+8.18 
0.806 7.80 


+0.264—8.83 


28 


27.25 


2.332 


3 


158 


1.63 


2 


27 


100 


0.362 


8.82 


















200 


0.877 


7.34 


0.45? 


8.72 


Sept. 7 


6.22 


2.171 


3 


165 


1.39 


2 


21 


1 300 


0.940 


6 83 


0.549 


8.56 


17 


16.20 


2.005 


3 


164 


1.21 


2 


15 


400 


0.995 


6.26 


0.63C 


8.33 


27 


26.17 


1.846 


3 


152 


1.09 


2 


+ 7 








Oct. 7 


6.14 


1.705 


3 


130 


1.07 


2 


— 3 




1870. 


1878. 


17 


16.12 


1.589 


3 


99 


1.16 


2 


15 



























— 0.D77 


+6.46 


+0.607,-8.41 


300, 27 


26.09 


1.509 


2 


60 


1.37 


2 


28 


10Q 


1.026 


5.85 


u.691 


8.13 


Nov. 6 


5.06 


1.471 


2 


— 15 


1.73 


3 


44 


200 


1.066 


5.19 


0.770 


7.79 


16 


15.03 


1.480 


1 


+ 34 


2.25 


3 


60 


300 


1.097 


4.49 


842 


7.37 


26 


25.01 


1.539 


+ 1 


84 


2.92 


3 


77 


400 


1.118 


3.76 


0.90t 


6.90 


Dec. 6 


4.98 


1.647 





133 


3.77 


3 


93 




1871. 


1879. 


16 

26 
36 


14.95 

24.92 
34.90 


1.804 

2.006 

+2.244 





— 1 


180 

221 

+254 


4.77 

5.90 

- 7.14 


4 

4 
+ 4 


107 
119 

—127 



100 
200 


—1.112 
1.127 
1.133 


+4.01 
3.25 
2.47 


+0.886 
0.94? 
1.000 


—7.06 
6.55 
5.98 
















300 

400 


1.128 


1.67 


1.044 

1.08J 


5.36 
4.69 












1.115 0.85 














1872 B. 


18SOB. 




* 


6 0, Dec. 


1.0. 












* 


3 Mean Sud, Nov. 2 


8.3. 




0-1.12 


+1.13 


+1.069—4.92 












100 1.100 


+0.31 


1.099 


4.*2 












! 200 


1.071 


—0.51 


1.120 


3.48 












300 


1.033 


1.32 


1.132 


2.72 












400 


—0.986 


—2.12 


+1.134—1.93 



SPECIAL TABLES. 



189 



TAD1E XXIV.-* a Tiianguli Australis. 



h m 
R.A. 16 34.9. 



o / 

Dec. — 68 47 



Upper transit at fictitious meridian. 



Sidereal Day. 


MeanDay 


A Q a 


A d 


Side 
real 
Day 


A ^ a A Q, d 


A n a A Cl d 


1870. 


Var.in 
10 y. 


Diff. foi 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 
s 


















c 

10C 


+1.761!+5.46 
1.624 6.10 


— 2.14£ 

2.08? 


—2.01 

2.80 






















s 






// 






20C 


1.47? 


! 6.70 


2.00fc 


3.56 


0,Jan. 


— 0.09 


—3.157 


—12 


+550 


+ 9.53 


— 7 


+ 179 


300 


1.30£ 


7.23 


1.911 


4.29 


10 


-|- 9.89 


2.565 


14 


632 


11.15 


6 


143 


400 


1.132 


7.71 


1.80S 


4.9S 


20 


19.86 


1.899 


15 


696 


12.38 


5 


103 








30 


29.83 


1.178 


16 


742 


13.21 


3 


61 




1866. 


1871. 


Feb. 9 


8.80 


-0.422 


16 


768 


13.61 


— 1 


+ 19 






















+ 


+7.56 


—1.842 


—4.75 


19 


18.78 


+0.353 


15 


778 


13.58 





— 23 


100 


I.G0S 


7.98 


1.722 


5.41 


Mar. 1 


0.75 


1.130 


14 


773 


13.15 


+ 2 
4 


63 


200 


0.817 


8.34 


1.58& 


6.03 


11 


10.72 


1.894 


13 


753 


12.34 


100 


300 


0.61ti 


8.63, 


1.441 


6.60 


21 


20.70 


2.632 


11 


722 


11.16 


5 


135 


400 


0.413 


8.84 


1.282 


7.11 


31 


30.67 


3.334 


9 


679 


9.65 


7 


166 




1867. 


1875. 


100, Apr. 10 


9.64 


3 987 


7 


626 


7.85 


8 


193 





+0.482 


+8.78 
8.94 


—1.337—6.94 


20 


19.61 


4.583 


4 


564 


5.80 


9 


216 


100 


0.275 


1.171 


7.42 


30 


29.58 


5.112 


— 2 


493 


3.54 


10 


235 


200 


+0.065 


9.02' 


0.996 


7.83 


May 10 


9.56 


5.567 


+ 1 


415 


+ l.ll 


11 


250 


300 


—0.145 


9.03; 


0.813 


8.17 


20 


19.53 


5.939 


4 


329 


— 1.43 


12 


259 ! 


400 


0.353 


8.95; 


0.623 


8.45 


30 


29.50 


6.222 


7 


236 


4.04 


12 


262 




1868 B. 


1876 B. 


June 9 


8.48 


6.410 


10 


140 


6.65 


12 


259 








]9 


18.45 


6 500 


13 


+ 40 


9.21 


12 


251 





—0.283 +8.98 


—0.688—8.37 


29 


28.42 


6.490 


15 


- 60 


11.65 


12 


236 ! 


100 


0.490 


8.86 


0.494 


8.60 


July 9 


8.39 


6.380 


17 


158 


13.90 


11 


214 


200 
300 


0.692 

0.887 


8.65 

8.37, 


0.297 

—0.097 


8.76 

8.85 


200, 19 


18.37 


6.175 


19 


251 


15.91 


11 


186 | 


400 


1.075 


8.02 


+0.104 


8.86 


29 


28.34 


5.882 


20 


334 


17.60 


10 


152 ~ 








Aug. 8 


7.31 


5.512 


22 


405 


18.92 


9 


113 




1869. 


1877. 


18 
28 


17.28 
27.26 


5.078 
4.598 


22 
22 


460 
496 


19.83 

20.29 


7 
6 


69 
— 22 1 




100 


—1.013 
1.194 


+8.15 
7.75! 


+0.037 
0.23? 


—8.87 
8.84 


Sept. 7 
17 
27 


6.23 
16.20 
26 18 


4.094 
3.586 
3.100 


22 
21 

20 


510 
501 

467 


20.27 
19 77 

18.80 


5 
4 
2 


+ 26 
74 ! 
120 j 


200 
300 
400 


1.364 
1.522 
1.667 


7.28' 
6.75; 
6.17 


0.437 
0.633 
0.824 


8.73 
8.55 
8.30 


Oct. 7 


6.15 


2.660 


18 


410 


17.39 


+ 1 


162 j 




1870. | 


1878. 


17 


16.12 


2.289 


16 


330 


15.58 





198 



























-1.619 


+6.37 


+0.761 


—8.39 


300, 27 


20.09 


2.006 


14 


231 


13.46 




226 


100 


1.754 


5.75'i 


0.947 


8.10 


Nov. 6 


5.07 


1.831 


11 - 


-118 


11.09 




246 ! 


200 


1.874 


5.08 


1.126 


7.74 


16 


15.04 


1.775 


8 


+ 6 


8.58 




255 | 


300 


1.976 


4.37. 


1.297 


7.31 


26 


25.01 


1.845 


6 


134 


6.02 




255 ! 


400 


2.062 


3.63 


1.457 6.82 


Dec. 6 


4.98 


2.043 


+ 3 


261 


3.51 




245 I 

1 




1871. 


1879. 


16 


14.96 


2.365 





381 


— 1.14 


o 


227 j 




1 




26 


24.93 


2.801 


- 2 


489 


+ i.oo 

+ 2.83 


+ 1 

+ 2 


200 i 





—2.035 


+3.88 


+ 1.404 


-6.99 


36 


34.90 


-f-3.338 • 


— 4 • 


+583 


+ 166 


100 
200 
300 
400 


2.109 
2.165 

9 901 


3.12 
2.33 

1 KO 


1.55? 
1.69? 
1.823 
1.935 


6.46 

5.8S 
5.24 
4.56 














! 
I 


2.220 0.70 














I 




1872 B. 


1880 B. 




* I 


? Mean S 


un, May 3C 


.9. 














* ( 


5 0, 


Dec. 2 


2. 






100 


-2.216 


+0.98 +1.899—4.79 




* c 


5 Mean S 


an, Nov. 29 


.5. 


. 




2.222 


+0.15! 2.000; 4.09 
















200 2.209 


—0.67 ! 2.083: 3.34 
















300 2.178 


1.48? 2.149! 2.57 


i 














400—2.129 


—2.28 .+2.199-1.77 | 

I 1 



190 



SPECIAL TABLES. 









TABLE XXIV.- 


// Hcrculis. 






h m 

R.A. IG 38.4. 


O 1 • 

DeM. + 39 10. 


Upper transit at fictitious meridian. 


Sidereal Day. 


Moan Day. 


A Q a 


A Q d 


Side- 
rcid 
Day. 


A Q a 


*3* 


A Q a 


A Q<> 
























1870. 


Vox. la 

10 y. 


Diff. for 
10 d. 


1870. 


Vnr.iu 
10 y. 


Diff. foi- 
10 d. 




1805. 

8 " 


1873. 



















100 


+0.282 

0.218 


+5.57 
6.21 


-0.52S 
0.4S0 


-2.12 

2.90 






















1 






// 






200 


0.152 


6.80 


0.428 


3.66 


0, Jan. 


— 0.09 


—1.520 


— 1 


4-224 


— 0.99 


+ 2 


—322 


300 


0.0S5 


7.32 


0.373 


4.38 


10 


4- 9. so 


1.273 


1 


207 


10.11 


2 


299 


400 


0.010 


7.79 


0.315 


5.07 


20 


19.86 


0.9SS 


2 


302 


12.94 


2 


865 








30 


89.83 


0.072 


2 


328 


15.38 


2 


221 




1860. 


1874. 


Feb. 9 


s.so 


-0.335 


2 


344 


17.34 


1 


170 





+0.040 


+7.64 


-0.335 


—4.85 


19 

Mar. 1 

11 

21 


18.78 

0.75 

10.72 

20.09 


+0.013 
0.301 

0.707 
1.038 


3 
3 
2 
2 


351 

348 
338 
323 


18.77 
19.61 
19.83 
19.47 


1 

1 

1 

+ 1 


114 

— 53 

+ 7 

67 


100 
200 
300 
400 


—0.029 
0.097 
0.1 G5 
0.231 


8.00 
8.41 
8.09 
8.89 


0.275 
0.213 
0.150 
0.085 


5.50 
0.12 
6.68 

7.18 


31 


30. 07 


1.350 


2 


300 


18.50 





123 




1807. 


1875. 


100, Apr 10 


9.G4 


1.G3G 


2 


271 


17.04 





171 





—0.209+8 83 


-0.107 


—7.02 


20 


19.01 


1.891 


2 


239 


15.11 


— 1 


213 


100 


0.274' 8.98 


—0.042 


7.49 


30 


29.59 


2.112 


I 


203 


12.82 


1 


246 


200 


0.330 


9.05 


+0.024 


7.89 


May 10 


9.56 


3.896 


— 1 


1G4 


10.23 


1 


269 


300 


0.395 


9.04 


0.0S9 


8.23 


20 


19.53 


2.439 





123 


7.48 


1 


281 


400 


0.451 


8.90 


0.151 


8.50 


30 


29.50 


2541 





80 


4.G4 


1 


286 




1808 B. 


1870 B. 


June 9 


8.48 


2.598 





+ 35 


— 1.79 


1 


282 








19 


IS. 45 


2.011 





— 9 


+ 0.97 


1 


209 





—0.433 


+8.99 


+0.132 


—8.42 


29 


28.42 


2.580 


+ 1 


54 


3.57 


— 1 


249 


100 


0.480 


8. SO 


0.190 


8.04 


July 9 


8.39 


2.504 


1 


9G 


5.93 





222 


200 


0.535 


8.0-1 


0.25S 


8.79 


















300 


0.579 8.35 


0.318 


8.87 


200, 19 


18.37 


2.3S9 


1 


135 


8.00 





191 


400 


0.61 s| 7.91) 


0.375 


8.88 


29 


28.34 


2.235 


2 


173 


9.74 





150 








Au£. 8 


7.31 


2.04G 


2 


203 


11.11 





116 




1809. 


1877. 


18 


17.29 


1.832 


3 


22G 


12.00 


+ 1 


74 


(I 


-0.605+8.12 


+0.350!— 8.89 


28 


27.2G 


1.598 


3 


244 


12.58 


1 


+ 30 


100 
200 


0.010 7.71 
0.670 7.23 


0.411 8.S5 
0.403 8.73 


Sept. 7 


G.23 


1.348 


3 


252 


12.(55 


2 


— 15 


300 


0.694 6.70 


0.61» 8.54 


17 


1G.20 


1.097 


3 


249 


19.88 


2 


GO 


400 


0.712 6.10 


0.5501 8.29 


27 


20.18 


0.854 


2 


237 


11.45 


3 


100 








Oct. 7 


6.15 


0.G27 


2 


215 


10.17 


3 


150 




1870. 


1878. 


17 


1G.12 


0.427 


2 


183 


8.4G 


4 


192 



























—0.706 


+6.31 


+0.5411—8.38 


300, 27 


2G.09 


0.204 


o 


141 


6.34 


4 


231 


100 


0.721 


5.08 


0.583 8.08 


Nov. 6 


5.07 


0.148 


2 


91 


3.85 


4 


26G 


200 


0.728 


5.01 


0.019 


7.71 


Hi 


15.01 


0.0S3 


1 


— 37 


+ 1.04 


5 


295 


300 


0.729 


4.29 


0.051 


7.27 


86 


25.01 


0.075 


1 


+ 22 


— 2.03 


5 


317 


400 


0.724 


3.54 


0.677 


6.77 


Dec. G 


4.98 


0.127 


+ 1 


81 


5.28 


5 


332 




1871. 


1870. 


1G 
26 


14.9G 

24.93 


0.237 

0.405 






139 
193 


8.64 
12.00 


5 
6 


338 
331 



100 


—0.720+3.80 
0.717 3.03 


+0.009J -6. 95 
0.691 6.41 


30 


34.90 


+0.622 


~ ] 


+240 


—15.23 


+ 6 


—314 


200 
300 


0.7081 2.23; 
0.681! 1.42J 


0.70S 
0.719 


5.82 
5.18 












400 


0.054' 0.60 


0.724 


4.49 














1S72 B. I 


1SSO B. 




* C 


5 0, 


Dec. 2.9. 












* < 


5 Mean S 


un, Nov. 30.4. 







— 0.664;+0. 88 


+0.723—4.73 












100 
200 


0.033 +(i.05 
0.598—0.77 


0.724 
0.719 


4.02 
3.27 












300 


0.5571 1.58| 


0.708 


2.49 












400 —0.512 —2. 38| 

1 1 


+0.G90 


—1.69 i 

• 



SPECIAL TABLES. 



191 









TABLE XXIV.— a 


Ophiuchi. 
















h m 
R.A. 16 51.5. 


o / 

Dec. + 9 35. 


Upper transit at fictitious meridian. 


Sidereal Day. 




A «. 


A 0* 


Side- 
real 
Day. 


A Cl a 


A a<5 


Ana 


A ^ 


Mean Da} . 
























1S70. 


Var.in 
10 y, 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 


1873. 

8 


1 

















100 


+0.565I+5.93 1 '— 0.837 


—2.52 
3.30 


















0.487 


6.55; 


0.787 






s 






// 






200 


0.404 


7.111 


0.730 


4.05 


0, Jan. 


— 0.08 


—1.215 


— 1 


+208 


- 2.42 





-217 


300 


0.318 


7.61; 


0.667 


4.76 


10 


+ 9.89 


0.990 


1 


242 


4.56 





210 


400 


0.230 


8.0c| 


0.599 


5.44 


20 


19.87 


0.734 


2 


267 


6.60 


+ 1 


195 








30 


29.84 


0.458 


2 


284 


8.44 




172 




186G. 


1871. 


Feb. 9 


8.81 


—0.168 


2 


295 


10.02 




143 


o 


+0.260 


+7.91 


—0.623—5.22 


19 

Mar. 1 

11 


18.79 

0.76 

10.73 


+0.130 
431 
0.726 


2 

2 
3 


. 301 

299 
291 


11.29 
12.20 
12.70 




110 
71 

— 31 


100 
200 
300 


0.170 
+0.078 
—0.015 


8.30 
8.62' 
8.86 


0.552 5.86 
0.476; 6.45 
0.397 6.99 


21 


20.70 


1.011 


3 


280 


12.83 




+ 8 


400 


0.107 


9.03 


0.314 7.47 


31 


30.68 


1.285 


2 


265 


12.55 




46 




1867. 


1875. 


100, Apr. 10 


9.65 


1.541 


2 


247 


11.92 




80 





—0.076+8.98 


—0.342 


—7.32 


20 


19.62 


1.779 


1 


227 


10.96 




109 


100 


0.168 


9.10 


0.258 


7.76 


30 


29.59 


1.994 


1 


203 


9.75 




133 


200 


0.258 


9.13 


0.172 


8.13 


May 10 


9.57 


2.185 


1 


177 


8.31 




152 


300 


0.346 


9.08! 


—0.084 


8.44 


20 


19.54 


2.347 


— 1 


148 


6.73 




163 


400 


0.431 


8.96 


+0.004 


8.68 


30 


29.51 


2.480 





116 


5.06 




169 




1868 B. 


1876 B. 


June 9 


K49 


2.579 


+ 1 


82 


3.36 




169 








19 


18.46 


2.644 


1 


47 


1.69 




164 





—0.403 


+9.01 — C. 026— 8.60 


29 


28.43 


2.673 


1 


+ 12 


— 0.10 




155 


100 


0.465 


8.83! +0.062 


8.79 


July 9 


8.40 


2.668 


1 


— 25 


+ 1.39 


2 


142 


1 200 
300 


0.563 
0.636 


8.58 1 
8.25 


0.150 
0.237 


8.91 
8.96 


200, 19 


18.38 


2.623 


2 


61 


2.73 


2 


125 


400 


0.704 


7.85 


0.321 


8.93 


29 


28 35 


2.546 


2 


94 


3.88 


2 


105 








Aug. 8 


7.32 


2.437 


2 


123 


4.83 


2 


85 




1869. 


1877. 


18 


17.29 


2.302 


3 


147 


5.57 


2 


62 





— 0.682'4-7.99 


4-0.293 


—8.95 


.8 


27.27 


2.144 


3 


165 


6.07 


2 


38 


I 100 


0.745 


7.55 1 0.37G 


8.87 


1 
















200 


0.802 


7.04 


0.450 


8.72 


Sept. 7 


6.24 


1.974 


3 


176 


6.33 


2 


+ 14 


1 300 


0.851 


6.47 


0.533 


8.50 


17 


16.^1 


1.795 


3 


177 


6.35 


2 


— 11 


400 


0.893 


5.85 


0.605 


8.20 


27 


26.18 


1.623 


3 


168 


6.11 


3 


37 








Oct. 7 


6.16 


1.462 


3 


151 


5.6 L 


3 


63 




1870. 


1878. 


17 


16.13 


1.323 


2 


125 


4.84 


3 


90 





— 0.880J+6.06 


+0.581!— 8.31 


1 300, 27 


26.10 


1.215 


2 


89 


3.81 


4 


116 


100 


0.917| 5.41 


0.650 


7.97 


Nov. 6 


5.08 


1.147 


2 


48 


2.52 


4 


141 


200 


0.946 


4.71 


0.714 


7.58 


1G 


15.05 


1.120 


1 


— 2 


+ 0.99 


4 


165 


i 300 


0.960 


3 97 


0.772 


7.09 


2G 


25.02 


1.143 


+ 1 


+ 46 


— 0.77 


4 


186 


400 


0.979 


3.19 


0.824 


6.56 


Dec. G 


4.99 


1.213 





95 


2.71 


4 


202 




1871. 


1879. 


16 
2G 
36 


14.97 
24.94 
34.91 


1.333 
1.497 

+1.700 




— 1 

— 1 


142 

184 
+221 


4.79 

6.95 

— 9.11 


4 
5 


213 

217 
—215 



100 
200 


—0.975 
0.982 
0.980 


+3.46 

2.67 
1.86 


+0.807 
0.855 
0.895 


— 6.75 
6.18 
5.56 


















300 


0.970 


1.03 


0.928 
0.954 


4 89 
4.18 










400 


0.953 


0.20 


i 










1872 B. 


1880 B. 




* 


6 0, Dec. 5.9. 












* 


6 Mean Sun, Dec. 3.7. 







-0.960 


+0.48 +0.946!— 4.42 


1 








100 
200 


0.930 
0.905 


— 0.35|j 0.966 3. 69 

1.17 0.978 2.91 










300 


0.8661 1.99,1 0.982! 2.12 










400 


— 0.82l[ — 2.78 +0.9771— 1.30 
II 



192 



SPECIAL TABLES. 



TABLE XXIV.— d Hcrculis. 



K.A. 



h m 
16 56.8. 



Dec. + 33 45. 



Upper transit at fictitious meridian. 



Sidereal Day. 



0,Jan. 

10 

20 

30 

Feb. 9 

19 
Mar. 1 
11 
21 
31 

100, Apr. 10 

20 

30 

May 10 

20 

30 

June 9 

19 

29 

July 9 



Mean Day. 



200. 



19 

29 

Aug. 8 

18 

28 

Sept. 7 
17 
27 

Oct. 7 
17 



300, 27 

Nov. 6 

16 

26 

Dec. 6 

16 
26 
36 



0.07 
-f 9.90 

19.87 

29.84 

8.82 

18.79 
0.76 
10.73 
20.71 
30.68 

9.65 
19.63 
29.60 

957 
19.54 

29.52 

8.49 
18.46 
28.43 

8.41 

18.38 
28.35 
7 33 
17.30 
27.27 

6.24 
16.22 
26.19 

6.16 
16.13 

26.11 

5.08 
15.05 
25.02 

5.00 



A a 



A 'o<* 



1870. 



Var. in 

10 y. 



-1.471 
1.249 

0.989 
0.698 
0.387 

—0.061 

+0.269 

0.598 

0.917 

1.220 

1.506 
1.765 
1.996 
2.195 
2.357 

2.482 
2.567 
2.609 
2.609 
2.567 

2.482 
2.359 
2.202 
2.015 

1.805 

1.579 
1.347 
1.119 

0.903 
0.711 



Diff. for 
10 ( 



2 
2 
2 
2 

2 
2 

1 
1 
1 





h 1 

1 

1 
1 

2 

2 
2 

2 
3 
3 
2 

2 



0.552 2 
0.433 j 2 
362 ! 1 
0.345 |+ 1 
0.382 



14.97 0.475 
24.94 0.622 
34.92 1+0.816 



+201 
242 
277 

302 
320 

329 
331 
325 
312 
295 

273 
246 
215 
181 
144 

105 

63 

+ 21 

— 21 
64 

105 
141 
173 

200 
220 

231 
232 
224 
206 
177 

140 
96 

— 45 
+ 10 

65 

120 

171 

+216 



1870. 



' Var. in 
10 y. 



- 5.48 
8.50 
11.28 
13.74 
15.76 

17.29 

18.27 
18.67 
18.49 
17.77 

16.53 
14.81 
12.73 
10.35 

7.77 

5.06 

— 2.32 
+ 0.36 

2.92 
5.29 

7.40 

9.21 

10.68 

11.78 

12.50 

12.78 
12.65 

12.09 

11.09 

9.69 

7.87 

5.69 

3.17 

+ 0.38 

— 2.63 

5.77 

8.96 

—12.06 



+ 2 
2 

2 

2 

1 

+ 1 








— 1 

1 

1 

— 1 









+ 1 

1 
1 

2 
2 
3 
3 
3 

4 
4 
4 
5 
5 

6 

6 

+ 5 



Diff. foi- 
10 d. 



—310 
292 
264 

225 

178 

126 
69 

— 11 
+ 45 

99 

149 
191 
224 

249 
266 

274 
272 

263 

248 
225 

197 

165 

129 

91 

50 

+ 8 

- 35 
78 

120 
161 

201 
236 
266 
291 
309 

318 

316 

—303 



6 0, 

6 Mean Sun, 



Dec. 7.2. 
Dec. 5.1. 



Side- 
real 
Day. 




100 
200 
300 
400 




100 
200 
300 
400 





! ioo 

I 200 
300 

400 




100 
200 
300 
400 



I o 

100 

i 200 

300 

400 





! ioo 

I 200 
300 

400 




100 
200 
300 
400 




100 
200 
300 
400 



+0.366 
0.301 
0.233 
0.1OJ 

0.092 



'Q, a 



An(S 



1865. 



+6.0' 
6.68 
7.23 
7.73 

8.15 



1866. 



+0.116 

+0.044 

0.029 

0.101 

0.172 



+8.01 
8.39 
8.70 
8.93 
9.08 



1867. 



-0.148 
0.218 
0.28? 
0.353 
0.416 



+9.04 
9.14 
9.15 



A n « 



A & 



1873. 



—0.606 
0.560 
0.510 
0.456 
0.398 



-2.68 
3.46 
4.20 
4.91 

5.58 



1871. 



-0.418 
0.357 
0.295 
0.229 
0.162 



-5.36 
5.99 
6.58 
7.11 

7.58 



1875. 



0.185—7.43 
0.117; 7.86 \ 
0.048! 8.22 
.09 +0.021 8.51 
8.95 0.0901 8 74 



1868 B. 



-0.395 
0.455 
0.512 
0.563 
0.610 



+9.01 

8.82 
8.55 
8.20 
7.79 



1869. 

595 +7.94 



0.638 
0.676 
0.707 
0.733 



7.48 
6.96 
6.38 
5.74 



1870. 



—0.725 
0.746 
0.761 
0.769 
0.770 

is: 

—0.771 

0.767 
0.758 
0.743 
0.721 



1876 B. 



+0.067 
0.135 
0.203 
0.269 
0.332 



-8.67 
8.85 
8.95 
8 9S 
8.94 



1877. 



+5.96 
5.29 
4.58 
3. 
3.05 



+3.32 
2.52 

1.70 

0.88 

+0.04 



+0.311 
0.373 
0.432 

0.487 
0.539 



—8.96 
8.87 
8.71 
8.47 
8.16 



1878. 



+0.522 —8.27 



1872 B. 



-0.729 
0.703 
0.671 
0.633 

-0.591 



+0.32 

-0.51 

1.34 

2.15 

—2.94 



0.571 
0.615 

0.654 

0.688 



7.92 
7.49 
7.01 
6.47 



1879. 



+0.677 
0.707 
0.731 
0.749 
0.76' 



-6.66 
6.C8 
5.45 
4.77 
4.05 



1880 B. 
+0.758— 4.3a 



0.76 

0.767 

0.762 

+0.751 



3.55 

2.77 

1.97 

—1.15 



SPECIAL TABLES. 



193 



TABLE HIT.-' e trsffi Minoris. 
Dec. -f- 82 15. 



h m 
E.A. 16 5 ( J.4. 



Upper transit at fictitious meridian. 



Sidereal Day. MeanDay. 



0,Jan. 
10 

20 

30 

Feb. 9 



Mar 



100, Apr. 10 

20 

30 

May 10 

20 

30 

June 9 

19 

29 

July 9 



200, 



Au< 



— 0.07 
+ 9.90 

19.88 

29.85 

8.82 

18.79 

0.77 

10.74 

20.71 

30.08 

9.66 
19.63 
29.60 

9.58 
19.55 

29.52 

8.49 

18.47 

28.44 

8.41 

18.38 

28.36 

7.33 

17.30 

27.28 



A©a 



i«7o. 



Var.inDiff.for 
10 y. I 10 d. 



A <5 



1870. 



Var. in 
10 y, 



9.311+35 
8.664! 41 
7.737| 46 
6.565! 50 
5.193J 52 



3.678 
2.068; 
- 0.436 
+ 1.162 
2.668 

4.029 
5.200 
6.145 

6.837 

7.257 



7.394 
7.248 
6.824 
6. J 37 
5.203 



4.046 
2.695 
+ 1.179 

— 0.467 

2.208 



Sept. 7 


6.25 


17 


16.22 


27 


26.19 


Oct. 7 


6 16 


17 


16.14 


3C0, 27 


26.11 


Nov. 6 


5.08 


m 


15.06 


26 


25.03 


Dec. 6 


5.00 


16 


14.97 


26 


24.95 


36 


34.92 



4.0C8 
5.818 
7.606 
9.326— 5 
10.936+ 2 



52 
51 

48 
44 
39 

33 
26 
18 
11 
+ 4 

— 3 

10 
16 
21 

25 

28 
29 
29 
28 
26 



+ 498— 8.03 



792 
1056 
1280 
1455 

1572 

1629 
1625 
1561 
1442 

1273 
1063 

822 

558 

+ 279 



12.392 
13.655 
14.686 
15.453 
15.929 

16.097 
15.949 
■15.4b9 



11 

19 

28 
37 
46 

54 
62 

+68 



- 5 

287 

558 

814 

1049 

1259 
1439 

158' 
1700 
1775 

1812 
1808 
1761 
1672 
1540 

1366 
11 



11.33 
14.30 
16.84 

18.86 

20.29 
21.08 
21.21 
20.68 
19.54 

17.82 
15.61 
13.00 
10.09 
6.97 



3.76 
0.55 
+ 2.56 
5.48 
8.14 

10.47 
12.42 
13.94 
15.01 
15.59 

15.67 
15.25 
14.32 
12.90 
11.02 

8.69 
5.96 



+ 



Diff. for 
10 d. j 



904 + 2.90 
625— 0.43 
324 3.94 



— 11 

+ 306' 



7.54 
11.12 



+ 612—14.56 [ 



+ 



1 
2 
4 

6 

8 

9 

11 

12 

14 
15 
16 
17 
17 

18 
IS 
-17 



-342 
315 
277 
230 
174 

112 

- 46 

+ 21 

85 

145 

198 
243 
278 
305 
318 

323 
317 

303 j 
281 | 
251 ! 

215 I 
174 i 

130 ! 

83 ! 
+ 33 | 

- 17 i 

63 I 
118 j 
166 ' 
211 I 

253 | 
290 j 
321 I 
344 I 
357 ! 

361 I 

353 l 

—333 ! 



Side- 
real 
Day. 




100 
200 
300 
400 




100 
200 
30( 
400 




100 
200 
300 
400 



A Q <5 




100 
200 
300 
400 




100 
200 
300 

400 




100 
200 
300 
400 



1865. 

-2.263+6. 15 1 
2.154! 6.76 
7.31 

7.79 

8.21; 

i 
i 



2.025! 
1.879; 
1.716' 



1866. 



-1.773 
1.600 
1.413 
1.213 
1.003 



+8.07 
8.45 
8.74 
8.96 
9.10 



^Q a 



A oQ J 



1873. 



+2.464 
2.447 
2.410 
2.353 
2.277 



-2.74 
3.52 
4.26 
4.97 
5.63 



1874. 



1867. 



-1.075 
0.859 
0.636 
0.407 
0.175 



+9.06 
9.16 
9.17 
9.10 
8.95 



1868 B. 

—0.254+9.01 
8.81 
8.53 
8.18 
7.76 



0.021 

+0.212 

0.443 

0.669 



1869. 



+0.593 
0.815 
3.029 
1.234 
1.428 



+7.91 
7.44 
6.91 
6.33 
5.69 



+2.305 
2.217 
2.110 

1.986 
1.846 



—5.41 

6.04 
6.62 
7.15 
7.62 



1875. 



+1.895 
1.746 
1582 
1.405 
1.216 



—7.46 

7.89 
8.25 
8.54 
8.76 



1876 15. 



+1.281 
1.086 
0.882 
0.67i 
0.454 



-8.69 

8.86 
8.96 
8.99 
8.94 



1877. 



1870. 



% 8 Mean Sun, June 6.1. 
* 6 ©, Dec. 7.8. 

>fc 6 Mean Sun, Dec. 5.7. 




100 
200 
300 
400 




100 
200 
300 
400 



+1.364 
1.549 
1.72 J 

1.877 
2.01? 



+5.91 
5.24 
4.52 
3.77 
2.98 



1871 



+1.971 
2.100 
2.210 
2.301 



+3.25 
2.45 
1.63 

+0.81 



2.373J—0.03 
1S72B. 

+2.3511+0.25 
2.409—0.58 
2.447 1.41 
2.464 2.22 

+2.461!— 3.01 



+0.527! 

0.308 
+0.086 
—0.138 

0.361 



-8.97 
8.87 
8.70 
8.46 
8.15 



1878. 



-0.286 
0.50? 
0.725 
0.937 
1.143 



-8.26 
7.90 
7.48 
6.99 
6.45 



IS 79. 



-1.074 
1.27o 
1.462 

1.641 

1.804 



-6.64 
6.06 
5.42 
4.74 
4.02 



I88OB. 



— 1 .750 
1.904 
2.043 
2.165 

—2.269 



—4.27 
3.52 
2.74 
1.94 

— 1.12 



13 



194: 



SPECIAL TABLES. 



i 




TABLE XXIV.-44 Ophiuchi. 






h m 
R.A. 17 18.4. 




o / 

Dec.. — 24 3. 


Upper transit at fictitious meridian. 






A Q a 




^ 




Side- 
real 


A oQ a 


A a<5 


A Q a 


W 


Sidereal Day. 


Mean Day. 










Day. 










J 




















1870. \Yg£ 


Diff. foi- 
10 d. 


1870. 


Var.in 
lOy. 


Diff. for 
10 d. 


1865. 

8 " 


1873. 

8 " 



















014-0.795 

100! 0.700 


4-6.61 

7.18 


—1.114 

1.056 


—3.33 

4.09 




















8 






» 






2001 0.599 


7.69 


0.99U 


4.81 


0, Jan. 


— 0.06 


—1.370 


— 1 


4-221 


4- L99 


- 2 


— 23 


300i 0.492 


8.13 


0.916 


5.50 


10 


-|- 9.91 


1.130 


2 


256 


1.70 


2 


33 


400 0.381 


8.51 


0.835 


6.13 


20 


19.89 


0.860 


2 


285 


1.33 


- 1 


41 






j 


30 


29.86 


0.502 


3 


307 


0.89 





46 




1866. 


1874. 


Feb. 9 


8.83 


—0.248 


3 


321 


4- 0.42 





48 





4-0.418 


4-8.40 


—0.863]— 5.92 


19 

Mar. 1 


18.80 
0.78 


■f 0.078 
0.410 


3 

4 


330 
331 


— 06 
0.50 


+ 1 
1 


47 
44 


100 

200 


0.305 
0.189 


8.72 
8.9? 


0.777 6.52 1 
0.684 7.07 j 


11 


10.75 


0.738 


4 


328 


0.92 


1 


39 


300 


4-0.071 


9 14 


0.5871 7.56 


21 


20.72 


1.064 


4 


322 


1.28 


2 


33 


400 


—0.048 


9.23 


0.484| 7.98 I 


31 


30.69 


1.380 


4 


311 


1.58 


2 


27 




1867. 


i 
1875. 


100, Apr. 10 


9.67 


1.684 


4 


297 


1.82 


3 


20 





—0.00814-9.21 


-0.519 


-7.85 


20 


19.64 


1.972 


3 


280 


1.99 


3 


15 j 


100 


0.126 


9.24 


0.414 


8.23 1 


30 


29.61 


2.242 


2 


259 


2.13 


3 


12 


200 


0.243 


9.20 


0.306 


8.54 1 


May 10 


9.59 


2.489 


1 


234 


2.24 


4 


11 


300 


0.358 


9.08 


0.195 


8.78 1 


20 


19.56 


2.708 


— 1 


205 


2.35 


5 


10 


400| 0.470 


8.88 


0.082 


8.95 


30 


29.53 


2.898 





173 


2.44 


5 


10 




1868 B. 


1876 B. 


June 9 


8.50 


3.053 





137 


2.54 


4 


12 








19 


18.48 


3.172 


4- 1 


99 


2.68 


4 


14 





-0.433 


4-8.95 


—0.120—8.90 


29 


28.45 


3.251 


2 


57 


2.82 


4 


15 


100 


0.542 


8.70 


—0.008! 9.02 


July 9 


8.42 


3.286 


2 


+ 14 


2.99 


4 


16 


200 
300 


0.646 
0.744 


8.3? 
7.9? 


4-0.106 ,9.07 j 
0.218 9.04 i 


200, 19 


18.39 


3.280 


3 


— 28 


3.14 


4 


16 


400 


0.836 


7.50 


0.328 8.94 i 


29 


28.37 


3.231 


3 


(9 


3.31 


4 


15 






i 


Aug. 8 


7.34 


3.144 


3 


105 


3.44 


4 


11 




1869. 


1877. 1 

1 


18 


17.31 


3.023 


4 


137 


3.53 


4 


— 





—0.806-4-7.66 


4-0.292—8.98 1 


28 


27.29 


2.872 


4 


162 


3.56 


4 





100 
200 


0.893 
0.972 


7.15 
6.5? 


0.400 
0.506 


8.83 ! 
8.60 i 


Sept. 7 


6.26 


2.701 


4 


177 


3.53 


3 


+ 7 


300 


1.042 


5.94 


0.608 


8.30 ! 


17 


16.23 


2.520 


4 


183 


3.42 


3 


14 


400 


1.103 


5.26 


0.705 


7.94 


27 


26.20 


2.338 


4 


179 


3.24 


3 


22 








Oct. 7 


6.18 


2.165 


4 


164 


2.99 


3 


27 




187©. 


1878. 


17 


16.15 


2.013 


3 


138 


2.71 


3 


29 





—1.0834-5.50 


4-0.673!— 8 07 


300, 27 


26.12 


1.893 


3 


102 


2.41 


3 


30 


100 


1.138 


4.79 


0.766 


7.66 


Nov. 6 


5.09 


1.812 


3 


58 


2.11 


3 


29 


200 


1.182 


4.04 


0.8o3 


7.18 


16 


15.07 


1.778 


2 


— 9 


1.83 


3 


24 


300 


1.217 


3.26 


0.933 


6.65 


26 


25.04 


1.795 


2 


4- 43 


1.63 


3 


16 


400 


1.241 


2.45 


1.000 


6.06 


Dec. 6 


5.01 


1.865 


+ I 


97 


3.51 


3 


+ 7 




1871. 


1870. 


16 
26 
36 


14.99 
24.96 
34.93 


1.988 

2.159 

+2.374 






— 1 


148 

194 

4-235 


1.50 

1.60 

— 1.80 


3 
3 

4-3 


— 4 
15 

— 27 



100 
200 
300 


—1.234 
1.251 
1.257 

1.252 


4-2.73 
1.9i 
1.07 

+0.23 


4-0.982 
1.050 
1.109 
1.158 


—6.26 
5.64 | 
4 96 
4.24 














400 


1.237 


—0.62 


1.198 


3.48 
















1873 B. 


18SOB. 




* 


6 0, Bee. V, 


2.1. 














* 


6 Mean Sun, Dec. 1 


j.6. 









—1.243,1—0.33 


4-1.186—3.74 














100 


1.221 


1.17 


1.220 


2.97 














200 


1.189 


1.99 


1.243 


2 16 














300 


1.147 


2.80 


1.256 


1.33 














400 


—1.096 


—3.58 


4-1.258— 0.50 



SPECIAL TABLES. 



195 









TABLE XXIV.— 


/5 Drnconis. 






h m 
E.A. 17 27.5. 


o / 

Dec. + 52 24. 








Upper transit at fictitious 


meridian. 








A Q a 




aJ 




1 Side- 
j real 


A Q a 


1, 


A Q<5 


Sidereal Day. 


MeanDay. 












Day. 






























1870. 


Var. in 

lOy. 


Diff. for 
10 d. 


1870. 


Var. in 
10y. 


Diff. for 
10 d. 




1865. 

8 


1873. 

8 


i 

















1 100 


+0.189 
0.146 


+6.82—0.351 
7.37!i 0.319 


—3.58 
4.34 






















8 






it 






200 


0.103 


7.87J! 0.285 


5.05 


0,Jan. 


— 0.05 


-2.123 





+170 


— 5.15 


+ 2 


-353 


! 300 


0.058 


8.29j| 0.249 


5.72 


10 


+ 9.92 


1.922 


— 1 


232 


8.61 


2 


336 


400 


0.013 


8.64 


i 0.211 


6.34 


20 


19.89 


1.663 


1 


287 


11.84 


2 


307 








30 


29.87 


1.351 


1 


334 


14.71 


1 


266 




1866. 


1874. 


Feb. 9 


8.84 


0.998 


1 


370 


17.13 


1 


216 






j 





















+0.028 


+8.53 


—0.224 


—6.14 


19 


18.81 


0.614 


2 


396 


19.00 


1 


157 


100 


—0.017 


8.83! 0.184 


6.72 


Mar. 1 


0.78 


—0.210 


2 


410 


20.25 


1 


94 


i 200 


0.062 


9.06! 0.143 


7.25 


11 

21 


10.76 
20.73 


+0.202 
0.613 


2 
2 


413 

407 


20.88 
20.83 


+ 1 



— 29 

+ 38 


300 
400 


0.107 
0.150 


9.20 
9.27 


i 0.101 
0.059 


7.72 
8.13 


31 


30.70 


1.013 


2 


390 


20.13 





100 




1867. 


1875. 


100, Apr. 10 


9.67 


1.390 


2 


363 


18.84 





158 





—0.135 4-9.25 


—0.073—8.00 ! 


20 


19.65 


1.7?7 


2 


329 


16.99 





209 


100 


0.178 


9.27 


—0.030 


8.36 i 


30 


29.62 


2.046 


2 


289 


14.68 





252 


200 


0.220 


9.20 


+0.013 


8.65 


May 10 


9.59 


2.313 


1 


242 


11.98 


— 1 


286 


300 


0.259 


9.05 


0.056 


8.87 


20 


19.56 


2.529 


1 


189 


8.99 


1 


309 


400 


0.296 


8.82 


j 0.099 


9.01 


30 


29.54 


2.690 


— 1 


134 


5.83 


1 


322 




1868 B. 


1876 B. 


June 9 


8.51 


2.796 





75 


— 2.58 


1 


326 






! 


19 


18.48 


2.839 





+ 15 


+ 0.65 


1 


320 





—0.284 


+8.91 


+0.085 


-8.97 


29 


28.46 


2.825 


+ 1 


— 44 


3.79 


— 1 


305 


100 


0.319 


8.63 


' 0.127 


9.07 J 


July 9 


8.43 


2.751 


1 


104 


6.73 





283 


200 
300 


0.351 
0.381 


8.27 
7.85 


I 0.168 
1 0.207 


9.09 
9.04 


200, 19 


18.40 


2.618 


1 


160 


9.42 





254 


400 


0.407 


.7.35 


0.245 


8.91 


29 


28.37 


2.433 


1 


211 


11.78 





219 








Aug. 8 


7.35 


2.198 


2 


258 


13.78 





179 




1869. 


1877. 


18 


17.32 


1.920 


2 


295 


15.35 





135 





—0.398 


+7.53 
6.99 


+0.233J— 8.96 
'i 0.269 8.79 


28 


27.29 


1.610 


2 


324 


16.48 


+ 1 


88 


100 


0.422 


















200 


0.442 


6.40 


j 0.304! 8.54 


Sept. 7 


6.26 


1.275 


2 


345 


17.11 


1 


+ 39 


300 


0.458 


5.75 


j 0.336; 8.22 


17 


16.24 


0.924 


2 


354 


17.25 


2 


— 11 


400 


0.470 


5.05 


! 0.366! 7.83 


27 


26.21 


0.572 


2 


349 


16.88 


2 


61 








Oct. 7 


6.18 


+0.230 


2 


333 


16.03 


2 


112 




1870. 


1878. 


17 


16.16 


—0.090 


2 


305 


14.63 


2 


162 



























—0 466+5.29 


+0.3o6 


—7.97 


300, 27 


26.13 


0.376 


2 


265 


12.78 


3 


209 


100 


0.475 


4.57 


i 0.38-3 


7.54 


Nov. 6 


5.10 


0.616 


2 


213 


10.45 


3 


252 


200 


0.48! 


3.80 


j 0.408 


7.04 


16 


15.07 


0.800 


2 


153 


7.74 


3 


289 


300 


0.482 


3.01 


i 0.429 


6.49 


26 


25.(5 


0.921 


1 


87 


4.68 


4 


321 


400 


0.479 


2.19 


i 0.446 


5.87 


Dec. 6 


5.02 


0.973 


1 


— 17 


+ 1.34 


4 


344 




1S71. 


i 1879. 


16 
26 
36 


14.99 
24.96 
34.94 


0.955 

0.864 
-0.704 


+ 1 




+ 55 

126 

+192 


— 2.17 

5.76 

— 9.31 


4 
4 

+ 4 


357 

359 

—349 



100 
200 
300 


—0.480 
0.474 
0.464 
0.451 


+2.47 
1.64 

+0.80 
—0.04 


1 

+0.441 
j 0.456 
j 0.467 
! 0.475 


—6.09 
5.44 
4.75 

4.02 


' 












400 


0^433 


0.89 


0^478 


3'.25 
















1872 B. 


1880 B. 




* c 


3 0, 


Dec. 14.1. 












| 


* ( 


5 Mean S 


un, Dec. 12.9. 







100 
200 
300 
400 


—0.440 
0.420 
0.396 
0.370 

—0.340 


—0.60 
1.44 
2.26 
3.07 

—3.84 


+0.478 
j 0.479 
1 0.475 
! 0.468 
+0.457 


—3.51 
2.72 
1.91 

1.08 
— 0.*3 | 

! . 



196 



SPECIAL TABLES. 





TABLE XXIV.— * wDraconis. 




h m o / 
K.A. 17 37.7. Dee. + 08 49. 




Upper transit at fictitious 


meridian. 












Side- 




j 










A g 


A d 




real 


A Q a 


A Q<M 


A a a 


A Q< J 


Sidereal Day. 


■Mc&n JL/3.V. 








Day. 




! 








1870. 


Var.in 

10 y. 


Diff. for 
10 d. 


1876. *g* 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

8 " 















100 


—0.197 
0.190 


+7.04 

7.58 


+0.179 
0.185 


-3.87 
4.01 


i 


















» 






// 




200 


0.193 


8.05 


0.190 


5.31 


0,Jan. 


— 0.04 


—3.052 


+ J 


+162 


- 4.83 — 1 


—303 


300 


0.188 


8.44 


0.193 


5.93 


10 


+ 9.93 


3.433 




275 


8.39 — 1 


340 


400 


0.182 


8.77 


0.194 


0.57 


20 


19.90 


3.100 




378 


11.71 


317 








30 


29.88 


2.082 




408 


14.09 


277 




1866. 


1871. 


Feb. 9 


8.85 


2.170 




542 


17.21 


220 

























—0.184 


+8.07 


+0.1941—0.37 


19 


18.82 


1.005 




597 


19.18 


107 


100 


0.177 


8.94 


0.194 


0.94 


Mar. 1 


0.79 


0.988 




032 


20.54 


103 


200 


0.108 


9.14 


0.192 


7.45 


11 


10.77 
20.74 


—0.347 




047 


21.23 


— 35 


300 


0.157 


9.20 


0.189 


7.89 


21 


+0.293 




041 


21.25 


+ 32 


400 


0.140 


9.29 


0.185 


8.28 


31 


30.71 


0.929 




010 


20.59 


98 




1867. 


1875. 


100, Apr. 10 


9.08 


1.524 




572 


19.31 


158 





-0.150 


+9.29 


+0.187 


—8.15 


20 


19.00 


2.008 




513 


17.45 


212 


100 


0.137 


9.27 


0.181 


8.49 


30 


29.03 


2.540 


+ 1 


440 


15.10 


257 


200 


0.123 


9.18 


0.174 


8.70 


May 10 


9.00 


2.945 





350 


12.35 


293 


300 


0.108 


9.00 


0.100 


8.95 


20 


19.58 


3.255 





263 


9.28 


319 


400 


0.092 


8.74 


0.150 


9.07 


30 


29.55 


3.409 





104 


0.01 


334 




1868 B. 


1876 B. 


June 9 


8.52 


3.582 





+ 02 


— 2.04 


339 








19 


18.49 


3.592 





— 41 


+ 0.74 


334 





—0.098 


+8.84 


+0.159 


—9.04 


29 


28.40 


3 499 





143 


4.02 


321 


100 


0.081 


8.53 


0.149 


9.11 


July 9 


8.44 


3.307 


- 1 


241 


7.13 


299 


200 
300 


0.004 
0.047 


8.15 
7.70 


0.137 
0.124 


9.10 
9.02 


200, 19 


18.41 


3.019 




333 


9.98 


270 


400 


0.029 


7.18 


0.110 


8.87 


29 


28 33 


2.044 




417 


12.52 


230 








Aug. 8 


7.3S 


2.189 




490 


14.08 


195 




1869. 


1877. 


18 

28 


17.33 

*7.30 


1.007 
1.091 


— 1 


551 

599 


10.41 
17.08 


151 
103 



100 
200 


-0.035 
—0.017 

+0.002 


+7.30 
6.80 
6.19 


+0.115 

0.100 
0.085 


—8.93 

8.73 
8.45 


Sept. 7 


0.27 


4-0.474 





(531 


18.45 


+ 52 


300 


0.020 


5.52 


0.008 


8.11 


17 


10.25 


—0.100 





(546 


18.71 





400 


0.038 


4.80 


0.051 


7.09 


27 


20.22 


0.812 





044 


18.45 


— 53 








Oct. 7 


0.19 


1.448 





023 


17.00 — 1 


100 




1870. 


1878. 


17 


10.10 


2.052 


-1- 1 


584 


10.34 1 


157 

























+0.0321+5.05 


+0.057 


—7.84 


! 300, 27 


20.14 


2.009 


1 


520 


14.52 1 


2C6 


100 


0.049 4.31 


0.040 


7.38 


Nov. 6 


5.11 


3.100 


1 


452 


12.22 1 


252 


200 


0.007) 3.53 


0.023 


0.80 


10 


15.08 


3.508 


1 


303 


9.50 1 


292 


300 


0.083 2.73 


+o.oor. 


0.29 


20 


25.00 


3.820 


2 


200 


0.41 1 


325 


400 


0.099| 1.90 


—0.013 


5.00 


Dec. 


5.03 


4.025 


2 


148 


+ 3.04 1 


349 




1871. 


1879. 


10 
20 
30 


15.00 
24.97 
34.95 


4.115 

4.080 
—3.938 


2 
2 

+ 2 


— 31 

+ 89 
+209 


— 0.54 1 
4.20 1 

— 7.84 — 1 


304 

307 

—358 



100 
200 
300 


+0.094 
0.109 
0.123 
0. 1 37 


+2.18 
1.34 

+0.50 
— 0.35 


—0.007 
0.025 
0.043 
0.000 


—5.88 
5.2! 
4.51 
3.70 








400 


0.149 


1.19 


o!o77 


2.98 










1872 B. 


188© B.- 




5j< 8 Mean Sun, June 15.8. 












* d O, Dec. 10.5. 







+0.145 


—0.91 


—0.071 


—3.24 




;fc d> Mean Sun, Dec. 15.4. 




100 


0.150 


1.74 


0.088 


2.44 








200 


0.100 


2.50 


0.103 


1.02 








300 


0.175 


3.30 


0.118 


-0.78 








400 


+0.182 


—4.12 


-0.132 


+0.07 



SPECIAL TABLES. 



197 



j 






TABLE XXIV.-vtz Herculis. 








h m o ' 
R.A. 17 41.4. Dec. + 27 48. 










Upper transit at fictitious 


meridian. 
















Side- 


















A c 


A <5 




real 


A Q a 


A o^ 


Aq« 


A Q^ 




Sidereal Day. 


Mean Day. 










Day. 








__ 




1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. «* 


Diff for 

10 d. 




1865. 

s " 


1873. 
s " 



















100 


+0.468+7.12 
0.403 7.64 


—0.694 
0.653 


—3,97 
4.71 
























s 






" 




200 


0.335! 8.10 


0.605 


5.41 




0, Jan. 


— 0.04 


—1.475 





+153 


— 3.00 + 1 


— 2S9 


300 


0.263 8.49 


0.554 


6.06 




10 


+ 9 93 


1.300 


— 1 


196 


5.85 2 


280 


400 


0.190 8.8) 


0.497 


6.65 




20 


19.90 


1.086 


1 


231 


8.57 2 


262 










30 


29.87 


0.840 


2 


260 


11.05 2 


232 




1SGG. 


1874. 




Feb. 9 


8.85 


0.569 


2 


282 


13.18 2 


193 





+0.215 


+8.71 


—0.517 


—6.46 




19 


18.82 


—0.278- 


2 


299 


14.89 1 


148 


100 


0.140 


8.98 


0.457 


7.02 




Mar. 1 
11 
21 


0.79 
10.77 
20.74 


+0 027 
0.337 
0.646 


2 
3 
3 


309 
310 

308 


16.12 1 
16.82 1 
16.98 1 


96 
— 43 
+ 11 


200 
300 
400 


+0.063 

—0.013 

0.090 


9.16 
9.27 

9.30 


0.395 
0.329 
0.260 


7.52 
7.96 
8.33 




31 


30.71 


0.952 


2 


301 


16.61'+ 1 


64 




1867. 


1875. 




100, Apr 10 


9.68 


1.246 


2 


287 


15.72 


113 





—0.064 


+9.30 


—0.284—8.21 




20 


19.66 


1.525 


2 


269 


14.36 


156 


100 


0.140 


9.27 


0.214 8.54 




30 


29.63 


1.783 


2 


246 


12.62 


193 


200 


0.215 


9.16 


0.142 


8.80 | 




May 10 


9.60 


2.016 


1 


219 


10.53 — 1 


223 


300 


0.288 


8.97 


-0.069 


8.98 




20 


19.57 


2.221 


1 


188 


8.18 1 


244 


400 


0.359 


8.71 


+0.004 


9.09 




30 


29.55 


2.392 


— 1 


153 


5.67 — 1 


257 




1868 15. 


1876 B. 




June 9 


8.52 


2.527 





116 


3.07 


262 










19 


18.49 


2.623 





74 


— 0.46 


258 





—0.336 


+8.81 


—0.021 


—9.06 




29 


28.47 


2.675 





+ 32 


+ 2.07 


243 


100 


0.404 


8.49 


+0.053 


9.12 




July 9 


8.44 


2.686 


+ 1 


— 11 


4.49 


232 


200 


0.469 


8.10 


0.125 


9.10 
















300 


0.529 


7.64 


0.197 


9.01 




200, 19 


18.41 


2.653 


2 


54 


6.70 


210 


400 


0.585 


7.11 


0.268 


8.85 




29 


28.38 


2.579 


2 


94 


8.68 + 1 


184 










Aug. 8 


7 36 


2.466 


2 


131 


10.37 1 


154 




1869. 


1877. 




18 


17.33 


2.318 


2 


163 


11.74 1 


120 





-0.567 


+7.30 


+0.244—8.91 




28 


27.30 


2.141 


3 


190 


12.76 1 


84 


100 
200 


0.619 
666 


6.73 
6.11 


0.3J3| 8.70 
0.379; 8.41 




Sept. 7 


6.27 


1.940 


3 


209 


13.42 2 


47 


300 


0.707 


5.43 


0.443; 8.06 




17 


16.25 


1.727 


3 


218 


13.69 2 


+ 8 


400 


0.742 


4.71 


0.503J 7.63 




27 


26.22 


1.508 


3 


218 


13.57 2 


— 32 










Oct. 7 


6.19 


1.295 


3 


207 


13.05 3 


73 




1870. 


1878. 




17 


16.16 


1.098 


3 


186 


12.12 3 


112 



























—0.731 


+4.96 


+0.483; — 7.78 




300, 27 


26.14 


0.926 


2 


157 


10.81 3 


150 


100 


0.761 


4.21 


0.540 


7.32 




Nov. 6 


5.11 


0.786 


2 


119 


9.12 4 


187 


200 


0.78: 


3.43 


0.593 


6.79 




16 


15.08 


0.689 


1 


75 


7.08 4 


220 


300 


0.802 


2.6-2 
1.79 


0.641 


6.20 




26 


25.06 


0.637 


1 


— 27 


4.75 4 


249 


400 


0.812 


0.685 


5.57 




Dec. 6 


5.03 


0.636 


+ 1 


+ 24 


+ 2.14 5 


271 




1871. 


1879. 




10 

26 

36 


15.00 
24.97 
34.95 


0.685 

0.784 
+0.931 






- 1 


74 
123 

+ 169 


- 0.64 6 

3.53 6 

_ 6.44 + 6 


285 

292 

—288 



100 
200 


— 0.810;+2.07 
0.8 J 5! 1.23 
0.814+0.39 


+0.6701—5.79 

' 0.710! 5.12 

0.743 4.40 


















300 


0.806—0.46 


0.771 


3.65 














400 


0.791! 1.30 


0.792 


2.86 




. 












1872 B. 


1880 B. 






* d 


>©, 


Dec. 17.3. 












) 


* c 


> Mean S 


an, Dec. 16.4. 





100 
200 


—0.796!— 1.02 

0.777J 1.86 
0.751 2.67| 


+ 0.7851—3.13 
0.8021 2.33 
0.812.1 1.50 




i 

1 










300 
400 


0.719- 3 46 
— 0.6811 — 4.22 


0.815—0.66 

+0.811J+0. 19 





198 



SPECIAL TABLES. 





TABLE XXIV.-* 


iMBraconis. 




h m 
R.A. 17 44.3. 


o / 

Dec. + 72 13. 




Upper transit at fictitious meridian. 






A o rt 




A <! 


Side- 
real 


A Q a 


A Q<5 


A Q a 


A Q 6 


Sidereal Day. 

i 


Mean Day. 








Day. 










1870. 


Var.in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 

s 



















100 


-0.329 
0.306 


+7.18 
7.70 


+0.384 
0.376 


-4.05 

4.78 






















s 






a 






200 


0.281 


8.15 


0.365 


5.47 


0, Jan. 


— 0.04 


—4.353 


+ 2 


+ 147 


— 4.31 


— 1 


—363 


300 


0.254 


8.53 


0.351 


6.11 


10 


+ 9.93 


4.137 


2 


283 


7.88 




348 


400 


0.225 


8.84 


0.334 


6.71 


20 


19.91 


3.791 


3 


408 


11.23 




321 








30 


29.88 


3 326 


3 


519 


14.25 




282 




1866. 


1874. 


Feb. 9 


8.85 


2.760 


3 


611 


16.83 




233 



























—0.234 


+8.75 


+0.340 


—6.51 


19 


18.82 


2.112 


3 


682 


18.88 




175 


100 


0.205 


9.00 


0.322 


7.07 


Mar. 1 


0.80 


1.405 


4 


728 


20.32 




111 


200 


0.172 


9.18 


0.301 


7.57 


11 


10.77 


—0.663 


4 


751 


21.10 


___ i 


— 45 


300 


0.138 


9.28 


0.277 


8.00 


21 


20.74 


+0.088 


4 


748 


21.20 





+ 23 


400 


0.103 


9.30 


0.251 


8.36 


31 


30.72 


0.824 


3 


721 


20.64 





88 




1867. 


1875. 


100, Apr. 10 


9.69 


1.523 


3 


673 


19.45 





149 





—0.115 


+9.30 


+0.260 


—8.25 


20 


19.66 


2 163 


3 


604 


17.68 





204 


100 


0.080 


9.27 


0.233 


8.57 


30 


29.63 


2.726 


2 


519 


15.40 


+ 1 


250 


200 


0.043 


9.15 


0.204 


8.82 


May 10 


9.61 


3.196 


2 


419 


12.71 




287 


300 


-0.006 


8.95 


0.173 


8.99 


20 


19.58 


3.561 


1 


309 


9.70 




314 


400 


+0.030 


8.68 


0.141 


9.10 


30 


29.55 


3.811 


+ 1 


191 


6.47 




330 




1868 B. 


1876 B. 


June 9 


8.52 


3.942 





+ 70 


— 3.13 




337 








19 


18.50 


3.951 


— 1 


— 53 


+ 0.24 




334 





+0.018 


+8.78 


+0.152 


—9.07 


29 


28.47 


3.837 


1 


174 


3.52 




322 


100 


0.055 


8.46 


0.119 


9.12 


July 9 


8.44 


3.604 


1 


290 


6.64 




301 


200 
300 


0.091 
0.126 


8 06 
7.59 


0.085 
0.051 


9.10 
9.00 


|200, 19 


18.42 


3.259 


2 


399 


953 




274 


400 


0.160 


7.06 


0.015 


8.83 


29 


28.39 


2.809 


2 


499 


12.10 


+ 3 


240 








Aug-. 8 


7.36 


2 266 


2 


586 


14.31 





201 




1869. 


1877. 


18 
U8 


17.33 
27.31 


1.642 
0.952 


2 
2 


660 
717 


16.10 
17.44 






157 

110 



100 
200 


+0.148 
0.182 
0.213 


+7.25 
6.67 
6.04 


+0.027 

—0.008 

0.043 


—8.90 
8.68 
8.39 


Sept. 7 


6.28 


+0.214 


2 


757 


18.29 


— 1 


60 


300 


0.243 


5.36 


0.078 


8.02 


17 


16.25 


—0.555 


2 


777 


18.63 


1 


+ 8 


400 


0.270 


4.64 


0.112 


7.60 


27 


26.22 


1.333 


2 


777 


18.44 


1 


— 45 








Oct. 7 


6.20 


2.102 


2 


756 


17.73 


2 


98 




1870. 


1878. 


17 


16.17 


2.838 


— 1 


714 


16.49 


2 


150 



























+0.261 


+4.89 


—0.101 


—7.75 


300 t 27 


26.14 


3.522 





650 


14.75 


2 


199 


100 


0.287 


4.14 


0.135 


7.28 


Nov. 6 


5.12 


4.132 





566 


12.53 


2 


245 


200 


0.310 


3.35 


0.167 


. 6.74 


1G 


15.09 


4.G48 


+ 1 


465 


9.88 


3 


285 


300 


0.331 


2.54 


0.199 


6.15 


26 


25.06 


5.056 


1 


348 


6.b5 


3 


320 


400 


0.348 


1.71 


0.229 


5.51 


Dec. G 


5.03 


5.340 


2 


218 


+ 3.51 


3 


346 




1871. 


1879. 


16 
26 
36 


15.00 
24.98 
34.95 


5.490 

5.500 

— 5.370 


2 

3 

+ 3 


- 81 
+ 60 
+ 199 


— 0.03 
3.68 

— 7.31 


3 

3 

— 3 


361 

366 
—359 



100 

200 


+0.343 
358 
0.371 


+1.99 
1.15 

+0.30 


—0.219 

0.248 
0.274 


—5.73 
5.06 
4.34 










300 


0.380 


—0.55 


0.299 


3 58 








400 


0.386 


1.39 


0^321 


2.80 










1872 B. 


1880 B. 




* 8 Mean Sun, June 17.5. 








1 




* 6 0, Dec. 17.9. 







+0.385 


—1.10 


—0.3141—3.07 




5JC 6 Mean Sun, Dec. 17.1. 




100 


0.389 


1.94 


0.334 2.26 








200 


0.390 


2.75 


0.352 1.43 








300 


0.387 


3.54 


0.366—0.59 


: 






400+0.381 


—4.30 


—0.378|+0.26 



SPECIAL TABLES. 



199 







TABLE XXIV.-y 


2 Sagittarii. 






b m 

R.A. 17 57.5. 


/ 

Dec. — 30 25. 


Upper transit at fictitious meridian. 






A Q a 




*<J 




Side- 
real 


A tt a 


A a<* 


A Q a 


A Q<> 


Sidereal Day. 


Mean Day. 










Day. 
































1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

8 " 



















100 


+0.799 
0.696 


+7.43 
7.92 


— 1.151 j— 4.41 


















1.086 


5.:2 






s 






" 






200 


0.587 


8.34 


1.013 


5.80 


0,Jan. 


— 0.03 


—1.521 





+ 191 


+ 1.07 


— 3 


+ 34 


300 


0.473 


8.69 


0.932 


6.42 


10 


+ 9.94 


1.308 


— 1 


233 


1.37 


3 


26 


400 


0.354 


8.97 


0.843 


6.98 


20 


19.91 


1.058 


2 


268 


1.59 


2 


18 








30 


29.89 


0.775 


3 


295 


1.74 


2 


11 




1866. 


1874. 


Feb. 9 


8.86 


C.470 


3 


316 


1.82 


1 


6 



























+0.395 


+8.88 


—0.874 


—6.80 


19 


18.83 


—0.144 


4 


332 


1.87 


— 1 


+ 2 
— 1 


100 


0.274 


9.10 


0.780 


7.33 


Mar. 1 


0.80 


+0.192 


4 


340 


1.87 





200 


0.151 


9.25 


0.680 


7.79 


11 


10.78 


0.535 


4 


345 


1.86 





2 


300 


+0.026 


9.31 


0.575 


8.19 


21 


20.75 


0.881 


4 


345 


1.83 


+ 1 


3 


400 


—0.099 


9.29 


0.465 8.53 


31 


30.72 


1.224 


4 


340 


1.79 


2 


4 




1867. 


1875. 


100, Apr. 10 


9.69 ' 


1.560 


4 


331 


1.75 


2 


6 





-0.057 


+9.31 


—0.503—8.42 


20 


19.67 


1.885 


3 


319 


1.68 


3 


8 


100 


0.181 


9.23 


0.391 


8.71 


30 


29.64 


2.196 


3 


302 


1.59 


4 


11 


200 


0.304 


9.08 


0.275 


8.92 


May 10 


9.61 


2.487 


2 


280 


1.45 


4 


16 


300 


0.424 


8.85 


0.158 


9.06 


20 


19.59 


2.754 


2 


253 


1.27 


4 


22 


400 


0.540 


8.54 


0.039 


9.13 


30 


29.56 


3.992 


1 


222 


1.02 


5 


28 




1868 B. 


1876 B. 


June 9 


8.53 


3.196 


— 1 


186 


0.70 


5 


35 








19 


18.50 


3.362 





145 


+ 0.32 


5 


41 





-0.501 


+8.65 


—0.079 


—9.11 


29 


28.48 


3.485 


+ 1 


99 


— 0.12 


5 


47 


100 


0.614 


8.29 


+0.040 


9.13 


July 9 


8.45 


3.560 


1 


52 


0.60 


6 


50 


200 
300 


0.722 
0.823 


7.86 
7.36 


0.159 

0.276 


9.07 
8.94 


200, 19 


18.42 


3.589 


2 


+ 5 


1.11 


6 


51 


400 


0.9-16 


6.80 


0.392 


8.73 


29 


28.39 


3.571 


2 


— 41 


162 


6 


50 








Aug. 8 


7.37 


3.507 


3 


85 


2.11 


5 


47 




1869. 


1877. 


18 
28 


17.34 
27.31 


3.402 
3.260 


3 
4 


124 
157 


2.55 
2.92 


5 
4 


41 
32 



100 


— 0.886 ! +7.00 
0.9741 6.39 


+0.353 
0.467 


—8.81 
8.55 


Sept. 7 
17 
27 


6.29 
16 26 
26 23 


3.090 
2.902 
2.705 


4 
4 
4 


180 
194 
197 


3.J8 
3.33 
3.33 


4 
4 
4 


21 
— 8 
+ 6 


200 
300 

400 


1.054 5.74 
1.123' 5.04 
1.184! 4.29 


0.577 
0.682 
0.781 


8.22 
7.83 
7.37 


Oct. 7 


6.20 


2.511 


4 


188 


3.21 


4 


19 




1870. 


1878. 


17 


16.18 


2.332 


4 


168 


2.96 


3 


31 



























—1.165+4.55 


+0.748 


—7.53 


300, 27 


26.15 


2.179 


4 


136 


2.59 


3 


42 


100 


1.219 


3.78 


0.844 


7.03 


Nov. 6 


5.12 


2.063 


3 


95 


2.13 


3 


49 


200 


1.262 


2.98 


0.933 


6.47 


16 


15.09 


1.991 


3 


— 48 


1.62 


2 


53 


300 


1.293 


2.16 


1.014J 5.85 


26 


25.07 


1.968 


2 


+ 4 


1.07 


2 


55 


400 


1.314 


1.32 


1.0871 5.18 


Dec. 6 


5.04 


1.999 


4- l 


59 


0.53 


2 


52 




1871. 


1879. 


16 
26 


15.01 
24.98 


2.085 
2.221 






111 
161 


— 0.04 
+ 0.40 


2 

2 


47 
40 





—1.309 


+1.60 


+1.064—5.41 


36 


34.96 


+2.407 





+207 


+ 0.76 


+ 2 


+ 32 


100 
200 


1.322 
1.324 


+0.75 
—0.10 


1.131 

1.189 


4.71 

3.98 
















300 

400 


1.315 
1.294 


0.94 
1.78 


1.237 
1.275 


3.20 
2.40 
























1872 B. 


1880 B. 




* 


6 ©, Dec. 20.9. 














* 


6 Mean Sun, Dec. 20.4. 









—1.302—1.50 


+1.2641—2 67 












100 


1.275 


2.33 


1.295 1.85 












200 


1.237 


3.13 


1.315 1.03 












300 


1.188 


3.91 


1.324— 17 












400 


—1.130 


—4.65 


+1.322J+0.68 



200 



SPECIAL TABLES. 



TABLE XXIV.-/. 1 Sagittarii. 



h m 

R.A. 13 6.0. 



o / 

Dec. — 21 5. 



Upper transit at fictitious meridian. 



Sidereal Day. 



MeanDay 



0,Jan. 

10 

20 

30 

Feb. 9 

19 

Mar. 1 
11 
21 
31 

100, Apr. 10 

20 

30 

May 10 

20 

30 

June 9 

19 

29 

July 9 



200, 



19 
29 
Aug. 8 

18 
28 

Sept. 7 
17 
27 

Oct. 7 
17 



300, 27 

Nov. 6 

10 

20 

Dec. 6 

16 
26 
36 



- 0.03 

+ 9.95 

19.92 

29.89 
8.86 

18.84 
0.81 
10.78 
20.76 
30.73 

9.70 
19.67 
29.65 

9.62 
19.59 

29.56 

8.54 

18.51 

28.48 
8.45 

18.43 

28.40 

7.37 

17.35 

27.32 

6.29 
16.26 
26.24 

6.21 
16.18 

26.15 

5.13 

15.10 

25.07 
5.05 

15.02 
24.99 
34.96 



A a 



1870. 



-1.4J3 
1.224 

1.000 
0.746 

0.468 

-0.173 

+0.136 

0.452 

0.769 

1.088 

1.401 

1.707 
1.999 
2.274 

2.528 

2.756 
2.954 
3.1J6 
3.238 
3.318 

3.353 
3 345 
3.292 
3.201 
3.075 

2.922 

2.750 
2. .068 
2.389 
2.221 

2.076 
1.965 
1.893 
1.864 

1.885 

1.956 

2.076 

+2.238 



Var. in 
W y. 



— 1 

1 
2 
2 
3 

3 
3 
4 
4 
4 

3 
3 
3 

2 
2 

1 

— 1 




+ 3 

1 

2 
2 
3 
4 

4 

4 
3 
3 
3 

3 

2 

2 

2 

+ 1 







Diff. for 
10 d. 



+169 
207 
240 
267 

287 

303 
313 
317 
319 
317 

310 

300 
284 
265 
242 

214 
181 
143 
101 

57 

+ 13 

— 31 
73 

110 
141 

164 
178 
182 
175 
158 

129 
92 

51 

— 4 
+ 46 

96 
142 

+182 



A c> 



1§70. 



Var. in 
10 y. 



Diff. for 
10 d. 



+ 0.19 

— 0.0 1 
0.27 
0.55 
0.80 

1.02 
1.19 

1.28 
1.29 
1.19 

1.01 
0.77 

0.48 

— 0.16 
+ 0.16 

0.48 
0.73 
0.94 
1.08 
1.16 

1.18 
1.13 
1.06 
0.96 

0.85 



— 2 
2 
1 

— 1 





+ 1 

1 

2 

2 
2 
3 
3 
3 

4 
4 

4 
4 
5 

5 
5 
5 
5 
5 



0.76 


4 


0.70 


4 


0.67 


4 


0.68 


4 


0.73 


4 


0.80 


3 


0.89 


3 


0.96 


3 


1.00 


3 


1.01 


3 


0.96 


3 


0.84 


3 


+ 0.65 


+ 3 



— 18 
23 
27 
27 
24 

20 
13 

— 5 

+ 5 
14 

21 

27 
31 
32 
32 

28 
23 
17 
11 
+ & 

— 1 

6 

9 

11 

10 



+ 



8 

8 

6 

+ 3 

— 2 

9 
16 

— 21 



* 6 0, Dec. 22.8. 

* d Mean £un, Dec. 22.6: 



Side- 
real 
Day. 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 





100 

I 200 

300 

400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 



>Q a 



A ^ 



1865. 



+0.735+7.58 
0.639! 8.05 
45 
78 
U3 



0.537 8. 
0.431 8. 
0.320 9. 



1866. 



+0.358 

0.245 

0.130 

+0.014 

—0.102 



+8. 
9, 
9, 
9. 



1867. 



-0.063 
0.178 
0.292 
0.404 
0.512 



+9.29 
9.20 
9.02 

8.76 
8.4 



1868 B. 



-0.476 
0.580 
0.680 
0.773 
0.860 



+8.55 
8.17 

7.7* 
7.20 
6.6* 



1869. 

-0.8321+6.82 



0.913 
0.986 
1.051 

i.ioo 



6.20 
5.53 

4.8* 
4.06 



1S70. 

-1.089I+4.3S 

1.13ft 3.54 
1.177 2.73 
1.205 1.91 
1.224 1.06 



1871. 



-1.219 
1.230 
1.231 
1.222 

1.202 



+1.35 

+0.50 

-0.35 

1.20 

2.03 



1S72B. 



-1.210 
1.183 
1.147 
1.101 



—1.75 

2.57 
3.37 
4.14 



—1.046—4.8 



And 



18*3. 



-1.066 
1.005 
0.936 
0.860 
0.777 



-4.63 
5.33 
5.99 
6.59 
7.14 



J 874. 



-0.805 
0.718 
0.624 
0.526 
0.424 



-6.96 

7.47 
7.92 
8.30 
8.61 



1875. 



-0.459 
0.354 
247 
0.137 

0.027! 



—8.52 
8.78 
8.97 
9.09 
9.13 



1876 B. 



—0.064 

+0.047 

0.157 

0.267 

0.373 



—9.13 
9.12 
9.04 

8.88 
8.65 



1877. 
+0.338—8.74 



0.443 

0.545 
0.642 
0.734 



8.40 
8.11 
7.69 
7.21 



187S. 



+0.704 
0.79* 
0.874 
0.949 
1.017 



-7.38 
6.86 
6.28 
5.65 
4.97 



1879. 



+0.995 
1.057 
1.110 
1.154 
1.189 



-5.21 

4.50 
3.75 
2.96 
2.15 



I88OB. 

+1.1781-2.43 
1.2061 1.61 
1.224 1—0.77 
1.332+0.08 

+1.229J+0.93 



SPECIAL TABLES. 



201 







TABLE XXIV.-* 


* Octantis.t 






h m 
R.A. 18 6.4. 


/ 

Dec. — 89 17. 


Upper transit at fictitious meridian. 






A Q a 




<U 


Side- 
real 


A Q a 


A a<> 


A Q a 


A Q<5 


Sidereal Day. 










Day. 










jicciii ±j&y. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1S70. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

s 




















100 


+22.88 
19.92 


+7.43 
7.93' 


—31.21 
29.14 


—4.77 

5.48 






















s 






a 






200 


16.77 


8.35! 


26.80 


6.13 


0,Jan. 


— 0.02 


—106.05 


—108 


+693 


+ 3 16 


—160 


+323 


300 


13.46 


8.70! 


24.24 


6.73 


10 


+ 9.95 


97.54 


243 


1004 


6.30 


148 


304 


400 


10.02 


8.9»! 


21.47 


7.28 


20 


19.92 


86.08 


368 


1283 


9.20 


131 


276 








30 


29.90 


72.01 


481 


1524 


11.79 


110 


241 




1866. 


1874. 


Feb. 9 


8.87 


55.75 


578 


1721 


14.00 


85 


200 



























+11.19+8.891 


—22.43 


—7.10 


]9 


18.84 


37.73 


657 


1873 


15.78 


58 


155 


100 


7.68 


9.12| 


19.53 


7.60 


Mar. 1 


0.81 


— 18.43 


718 


1979 


17.09 


— 29 


108 


200 


4.11 


9.251 


16.47 


8.04 


11 


10.79 


+ 1.71 
22.22 


758 


2040 


17.92 


+ 1 


59 


300 


+ 0.49 


9.31 


13.27 


8.40 


21 


20.76 


777 


2056 


18.26 


32 


+ 9 


400 


— 3.14 


9.28; 


9.95 


8.70 


3J 


30.73 


42.68 


781 


2028 


18.10 


64 


— 40 




1867. 


1875. 


100, Apr. 10 


9.70 


62.66 


755 


1962 


17.47 


94 


87 





- 1.92 


+9.30: 


—11.08 


-8.61 


20 


19.68 


81.78 


714 


1854 


16.37 


122 


132 


100 


5.52 


9.21 j 


7.70 


8.85 


30 


29.65 


99.62 


655 


1709 


14.84 


149 


174 


200 


9.08 


9.05 


4.27 


9.02 


May 10 


9.62 


115.84 


578 


1530 


12.90 


174 


212 


300 


12.54 


8.80| 


— 0.79 


9.11 


20 


19.60 


130.10 


486 


1317 


10.62 


195 


244 


400 


15.89 


8.47 


+ 2.69 


9.12 


30 


29.57 


142.09 


381 


1076 


8.04 


213 


271 




1868 B. 


1876 B. 


June 9 


8.54 


151.55 


265 


811 


5.22 


226 


291 








19 


18.51 


158.24 


142 


525 


+ 2.23 


236 


305 





—14.78 


+8.59 


+ 1.51 


—9.13 


29 


28.48 


162.01 


— 13 


+226 


— 0.85 


242 


310 


! 100 


18.03 


8 21 


4.98 


9.09 


July 9 


8.46 


162.75 


+118 


— 79 


3.94 


242 


306 


! 200 
! 300 


21.11 
23.99 


7.76 
2.23 


8.40 
11.75 


8.97 
8.78 


200, 19 


18.43 


160.45 


245 


381 


6.95 


239 


294 


400 


26.65 


6.65 


15.00 


8.51 


29 


28.40 


155.17 


36? 


673 


9.79 


230 


272 








Aug. 8 


7.38 


147.08 


478 


943 


12.37 


218 


242 




1869. 


1877. 


18 


17.35 


136 41 


576 


1183 


14.61 


202 


204 





—25.78 -4-6.85 


+13.91 

17.08 


—8.61 


28 


27.32 


123.56 


657 


1382 


16.42 


183 


157 


100 


28.27 


6.23 


8.29 


















I 200 


30.50 


5.55 


20.09 


7.90 


Sept. 7 


6.29 


108.95 


71? 


1532 


17.74 


161 


105 


| 300 


32.45 


4.82 


22.95 


7.45 


17 


16.27 


93.12 


755 


1620 


18.52 


13? 


— 48 


400 


34.09 


4.05 


25.59 


6.93 


27 


26.24 


76.66 


763 


1656 


18.70 


112 


+ H 


I 






Oct. 7 


6.21 


60.24 


755 


1619 


18.29 


87 


72 




is7o. 


1878. 


17 


16.18 


44.50 


716 


1518 


17.28 


64 


131 



























—33.57 


+4.31 


+24.72 


-7.11 


300, 27 


26.16 


30.10 


654 


1352 


15.70 


42 


185 


i 100 


35.00 


3.52 


27.22 


6.55 


Nov. 6 


5.13 


17.65 


568 


1129 


13.61 


23 


233 


\ 200 


36.11 


2.70 


29.49 


5.93 


16 


15.10 


7.68 


464 


857 


11.07 


+ 8 


274 


i 300 


36.89 


1.85 


31.50 


5.26 


26 


25.08 


+ 0.63 


342 


548 


8.18 


— 3 


304 


i 400 


37.33! 0.99 


33.23 


4.54 


Dec. 6 


5.05 


- 3.19 


210 


—214 


5.03 


9 


324 




1S71. 


1879. 


16 

26 
36 


15.02 
24.99 
34.97 


3.61 

— 0.58 
+ 5.80 


+ 70 
— 72 
—211 


+131 
473 

+799 


— 1.74 
+ 1.59 

+ 4.84 


10 

— 5 
+ 4 


333 
331 

+318 



100 

; 200 


—37.221+1.29 
37.43J+0.42 
37.311— 0.44 


+32.68 
34.22 
35.46 


—4.79 

4.04 
3.26 
















! 300 


36.86 1.30 


36.39 


2.44 










400 


36.07| 2.15 


37.00 


1.61 












1872 B. 


1880 B. 


i 


* c 


? Mean Sun, June 23.1. 










' 


* ( 


6 ©, Dec. 22.9. 







—36.37 


—1.86 


+36.83'— 1.89 




* 


3 Mean Sun, Dec. 22.7. 




100 


35.37 


2.70 


37.22 1.05 










! 200 


34.06 


3.50 


37.2?— 0.19 




t See pag 


js 248. 250 for additional corrections. 




j 300 


32.45 


4.28 


36.99+0.68 


1 








400 


-30.57 


—5.01 


+36.38+1.53 



202 



SPECIAL TABLES. 





TABLE XXIV.— *<5lJrsa5Minoris.t 






h m o ' 
R.A. 18 14.3. Dec. + 86 36. 




Upper transit at fictitious meridian. 






A Q a 


A o<> 


Side- 
real 


A Q a 


A a 6 


i A a a 


A Q d 


Sidereal Day. 


MeanDay. 






Day. 






\ 


1870. 


Var. in 

10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

8 " 


1873. 

s 



















100 


— 3.40 
2.85 


+7.75 
8.20 


!+ 5.48 
5.11 


-4.81 
5.49 






















s 






// 






200 


2.27 


8.57 


4.70 


6.14 


0,Jan. 


— 0.02 


—22 98 





— 23 


— 1.54 


-29 


—341 


300 


1.68 


8.87 


4.25 


673 


10 


+ 9.95 


22.84 


+ 5 


+ 51 


4.93 


29 


335 


400 


1.07 


9.09 


3.77 


7.26 


20 


19.93 


21.97 


10 


122 


8.20 


23 


317 






, 


30 


29.90 


20.42 


15 


187 


11.23 


26 


288 




I860. 


1874. 


Feb. 9 


8.87 


18.25 


20 


245 


13.92 


23 


247 



























— 1.28 


+9.02 


:+ 3 94 


—7.09 


19 


18.85 


15.54 


24 


294 


16.15 


20 


197 


100 


0.66 


9.19 


3.44 


7.58 


Mar. 1 


0.82 


12.41 


26 


329 


17.85 


16 


141 


200 


— 0.04 


9.29 


2.91 


8.01 


11 


1079 


8.99 


28 


351 


18.96 


12 


80 


300 


+ 0.59 


9.30 


2.36 


8.37 


21 


20.76 


5.42 


29 


359 


19.44 


8 


— 17 


400 


1.21 


9.23 


1.79 


8.67 


31 


30.74 


— 1.84 


30 


354 


19.29 


- 3 


+ 47 




1867. 


1875. 


100, Apr. 10 


9.71 


+ 1.63 


29 


336 


18.51 


+ 1 


108 





+ 1.001+9.26 


+ 1.991—8.58 


20 


19.68 


4.85 


28 


306 


17.15 


5 


162 


100 


1.61 


9.13 


1.41 


8.82 


30 


29.65 


7.71 


25 


265 


15.28 


9 


210 


200 


2.21 


8.93 


0.82 


9.00 


May 10 


9.63 


10.11 


21 


215 


12.96 


12 


252 


300 


2.79 


8.6? 


+ 0.22 


9.11 


20 


19.60 


11.98 


17 


159 


10.27 


14 


284 


400 


3.35 


8.30 


- 0.37 


9.13 


30 


29.57 


13.27 


13 


99 


7.31 


15 


306 




1868 B. 


1876 B. 


June 9 


8.55 


13.94 


8 


+ 35 


4.18 


16 


318 








19 


18.52 


13.96 


+ ^ 


— 30 


— 0.96 


16 


322 





+ 3.17 


+8.43 


— 0.17 


—9.12 


29 


28.49 


13.35 


— 2 


93 


+ 2.25 


15 


318 


100 


3.70 


8.03 


0.77 


9.10 


July 9 


8.46 


12.11 


7 


154 


5.38 


13 


305 


200 
300 


4.21 
4.67 


7.56 
7.03 


1.36 
1.93 


9.00 

8.83 


200, 19 


18.44 


10.28 


12 


211 


8.34 


11 


285 


400 


5.10 


6.43 


2.50 


8.59 


29 


28.41 


7.91 


17 


263 


11.06 


8 


258 








Aug. 8 


7.38 


5.04 


21 


310 


13 48 


+ 4 


226 




1869. 


1877. 


18 


17.35 


+ 1.73 


24 


350 


15.56 





189 





+ 4.96+6.64 
5.35 6.01 


— 2.31 


—8.68 


28 


27.33 


— 1.94 


27 


382 


17.24 


— 5 


.148 


100 


2.86 


8.39 


















200 


5.701 5.32 


3.39 


8.03 


Sept. 7 


6.30 


5.90 


30 


406 


18.50 


10 


103 


300 


6. OOf 4.60 


3.89 


7.61 


17 


16.27 


10.05 


31 


423 


19.29 


15 


55 


400 


6.25| 3.83 


4.38 


7.12 


27 


26.24 


14.33 


32 


431 


19.60 


20 


+ 7 








Oct. 7 


6.22 


18.63 


32 


428 


19.42 


26 


— 43 




1870. 


1878. 


17 


16.19 


22.85 


31 


415 


18.73 


32 


94 



























+ 6.181+4.09 


— 4.20 


—7.28 


300, 27 


26.16 


26.89 


30 


392 


17.53 


37 


144 


100 


6.39 3.30 


4.65 


6.75 


Nov. 6 


5.14 


30.66 


28 


360 


15.86 


41 


191 


200 


6.54 2.49 


5.06 


6.17 


16 


15.11 


34.06 


25 


318 


13.73 


46 


234 


300 


6.65 1.66 


5.43 


5.53 


26 


25.08 


36.98 


21 


265 


11.20 


50 


272 


400 


6.69, 0.82 


5.75| 4.84 


Dec. 6 


5.05 


39.34 


17 


205 


8.31 


53 


303 




1871. 


1879. 


16 
26 

36 


15.03 

25.00 
34.97 


41.07 

42.10 

—42.40 


13 

8 
— 2 


139 
— 67 

+ 8 


5.15 

f 1.82 
— 1.57 


55 

56 

—56 


325 

338 

—338 




100 
200 


+ 6.68 
6.69 
6.64 


+1.11 

+0.26 
—0.59 


— 5.65 
5.94 
6.19 


—5.08 
4.36 I 
3.61 I 














300 
400 


6.53 
6.38 


1.43 

2.25 


6.39 


•2 HI 1 






6.53| 2.02 J 








1872 B. 


1880 B. 




* 8 Mean Sun, June 25.^. 










* 6 0, Dec. 24 7. 


+ ' 


—1.98 


— 6 491— 2.29 




* 6 Mean Sun, Dec. 24 8. 


100 


6.24 


2.79 


6.60 1.47 






200 


5.99 


3.58 


6.65—0.03 




t See pages 251-253 for additional corrections. 


300 5.70 


4.33 


6.65+0.22 






400+ 5.36 

i ■ 


—5.05 


- 6 60+1.06 



SPECIAL TABLES. 



203 







TABLE XXIV.- 


n Serpentis. 








h m 
R.A. 18 14.6. 


o / 

Dec. — 2 56. 




Upper transit at fictitious meridiaD. 








A G a 




A c> 


Side- 
real 


A £l a 


^ 


A Q a 


^ 




Sidereal Day. 


Mean Day. 








Day. 




































1870. 


Var.in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var.in 
10 y. 


Diff. foi- 
10 d. 




1865. 

8 " 


1873. 

8 " 





















100 


+0.646 
0.562 


+7.72 
8.17 


--0.935 

0.882 


—4.84 
5.53 


























s 






// 






200 


0.473 


8.55 


0.822 


6.17 




0, Jan. 


— 0.02 


—1.329 





+141 


— 0.76 





—129 


300 


0.380 


8.86 


0.756 


6.76 




10 


+ 9.95 


1.168 


— 1 


178 


2.06 





130 


400 


0.283 


9.08 


0.683 


7.29 




•20 


19.92 


0.975 


1 


209 


3.34 





124 










30 


29.90 


0.752 


2 


236 


4.53 





113 




I860. 


1874. 




Feb. 9 


8.87 


0.505 


2 


257 


5.58 





97 





























+0.316 


+9.02 


—0.708 


—7.12 




19 


18.84 


-0.240 


2 


272 


6.45 





77 


100 


0.218 


9.19 


0.632 


7.tl 




Mar. 1 
11 


82 
10.79 


+0.037 
0.326 


3 
3 


284 
291 


7.10 
7.47 


+ 1 

1 


52 
— 25 


200 
300 


0.117 

+0.016 


9.29 
9.30 


0.550 
0.464 


8.04 
8.40 




21 


20.76 


0.618 


3 


292 


7.59 


1 


+ 2 


400 


—0.086 


9.23 


0.375 


8.69 




31 


30.73 


0.910 


2 


291 


7.42 


1 


30 




1867. 


1875. 




100, Apr. 10 


9.71 


1.199 


2 


287 


6.99 


1 


56 





—0.052 


+9.27 


—0.405—8.60 




20 


19.68 


1.482 


2 


278 


6.31 


1 


79 


100 


0.153 


9.14 


0.314 


8.84 




30 


29.65 


1.754 


2 


264 


5.42 


1 


97 


200 


0.253 


8.94 


0.220 


9.01 




May 10 


9.62 


2.009 


2 


246 


4.38 


2 


112 


300 


0.350 


8.67 


0.124 


9.10 




* 20 


19.60 


2.245 


2 


225 


3.19 


2 


121 


400 


0.445; 8.31 


0.027 


9.12 




30 


29.57 


2.458 


1 


198 


1.96 


2 


126 




1868 B. 


1876 B. 




June 9 


8.54 


2.641 


1 


166 


- 0.69 


2 


127 










19 


18.52 


2.790 


— 1 


132 


+ 0.56 


3 


122 





—0.413+8.44 


—0.060—9.13 




j 29 


28.49 


2.904 





94 


1.77 


3 


117 


100 


0.505 8.04 


+0.037 


9.09 




July 9 


8.46 


2.978 





53 


2.89 


3 


106 


200 
300 


0.592 
0.674 


7.57 
7.03 


0.131 

0.230 


8.99 
8.81 




200, 19 


18.43 


3.010 


+ 1 


+ 12 


3 90 


3 


95 


400 


0.750 


6.43 


0.324 


8.56 




29 


28.41 


3.002 


1 


- 29 


4.78 


3 


81 










Aug. 8 


7.38 


2.952 


2 


69 


5.52 


3 


67 




1869. 


1877. 




l ! \l 


17.35 


2.865 


2 


104 


6.12 


4 


52 


• 


-0.726 


+6.64 


+0.292 


—8.65 




28 


27.32 


2.746 


2 


133 


6.56 


4 


38 


100 
200 


0.797 
0.862 


0.00 
5.32 


0.384 
0.474 


8.35 

7.98 




Sept. 7 


6.30 


2.601 


2 


156 


6.87 


4 


24 


300 


0.918 


4.59 


0.559 


7.55 




17 


16.27 


2.437 


3 


171 


7 04 


4 


+ 9 


400 


0.967 


3.82 


0.640 


7.05 




27 


2(5.24 


2.263 


3 


176 


7.06 


4 


— 6 










Oct. 7 


6-22 


2.089 1 3 


171 


6.92 


4 


20 




1870. 


1878. 




17 


16.19 


1.925 


3 


156 


6.65 


4 


35 





























—0.952 


+4.09 


+0.613 


—7.23 




300, 27 


26.16 


1.781 


2 


133 


6.22 


4 


50 


100 


0.995 


3.30 


0.691 


6.69 




Nov. 6 


5.13 


1.663 


2 


100 


5.64 


4 


65 


200 


1.029 


2.48 


0.763 


6.09 




16 


15.11 


1.584 


2 


60 


4.91 


4 


80 


300 


1.055 


1.65 


0.829 


5.44 




26 


25.08 


1.544 


1 


— 18 


4.03 


4 


95 


400 


1.071 


0.81 


0.888 


4.75 




Dec. 6 


5.05 


1.548 


+ 1 


+ 27 


3.01 


4 


108 




1871. 


1879. 




16 
26 
36 


15.02 
25.00 
34.97 


1.598 
1.691 

-f-1.827 






72 

115 

+155 


1.87 
+ 0.64 
— 0.65 


4 

4 

+ 4 


119 
127 j 
—130 



100 
200 
300 
400 


—1.0671+1.09 
1.077+0.24 
1.078|— 0.61 
1.070; 1.45 
1.053' 2.28 


+0.869 
0.924 
0.971 
1.009 
1.040 


—4 99 
4.27 
3.51 
2.72 
1.90 
























1872 B. 


18SO B. 






* 


6 0, Dec. 24 7. 


. 












* 


i Mean Sun, Dec. 24.8. 


j 



100 
200 
300 


—1.060 
1.037 
1.006 
0.966 


—2.00 
2.82 
3.60 
4.36 


+1.0311—2.18 
1.056j 1.35 
1.072—0.51 
1.079+0 34 










1 


400 


—0.9181—5.08 


+ 1.0761+1.19 





204 



SPECIAL TABLES. 









TABLE XXIV.- 


-1 Aquiljc. j 






h m 
R.A. 18 28.1. 




Of 

Dec. — 8 20. 

1 

L 


Upper transit at fictitious meridian. 








• 






Side- 






i 








i 


^0 a 




A .5 


! real 


A a a 


A ^ 


A a a 


A a 6 


Sidereal Day. 


Mean Day. 










I Day. 






j 




1870. 


Var. in 
10 y. 


Diff. for 
]0d. 


1870. 


Var. in 

10 y. 


Diff. foi- 
10 d. 


| 


1865. 

8 


1 1873. 

j s " 


1 


















1 100 


+0.665 
0.577 


+7.92 
8.34 


—0,968!— 5.17 
| 0.912 5.83 


1 




















s 






" 






; 200 


0.484 


8.68 


0.849 6.45 


0,Jan. 


— 0.01 


—1.346 





+133 


— 0.74 


— 1 


— 90 


1 300 


0.387 


8.95 


i 0.779 7.01 


10 


+ 9.96 


1.194 





171 


1.65 





91 


i 400 


0.286 


9.14 


| 0.203| 7.51 


20 


19.93 


1.005 


— 1 


204 


2 56 





t.8 


1 






30 


29.91 


(.787 


2 


231 


3.41 





81 


1 


1860. 


1874. 


Feb. 9 


8.88 


0.545 


2 


253 


4.17 





68 






' 


















1 o 


+0.320 


+9.09 


'—0.730 


-7.35 


19 


18.85 


0.282 


3 


271 


4.77 





51 


i 100 


0.218 


9.22 


0.650 


L 8 i 


Mar. 1 


0.83 


—0.004 


3 


284 


5.19 





33 


i 200 


0.113 


9.28 


0.564 


g-s 


11 


10.80 


+0.284 


3 


292 


5.42 





— 12 


j 300 


+0.007 


9.26 


0.475 


8.53 


21 


20.77 


0.579 


3 


297 


5.43 


+ 1 


+ n 


! 400 


—0.098 


9.15 


0.381 


8.78 


31 


30.74 


0.878 


3 


299 


5.2J 


1 


33 


! 

1 


1867. 


1875. 


100, Apr. 10 


9.72 


1.175 


3 


295 


4.76 


1 


53 





—0.063 +9.20 


—0.413 


—8.70 


20 


19.69 


1.467 


3 


288 


4.14 


1 


71 


! 100 


0.168 


9.04 


| 0.318 


8.91 


30 


29.66 


1.750 


2 


277 


3.35 


1 


85 


j 200 


0.272 


8.80 


0.22U 


9.04 


May 10 


9.63 


2.019 


2 


261 


2.44 


2 


96 


! 300 


0.373 


8.49 


1 0.120 


9.10 


20 


19.61 


2.271 


2 


241 


1.44 


2 


103 


400 


0.471 


8.10 


j 0.019 


9.08 


30 


29 58 


2.500 


1 


215 


— 0.40 


3 


105 


i 


1868 B. 


1876 B. 


June 9 


8.55 


2 700 


1 


185 


+ 0.65 


3 


103 


1 




i 


19 


18.52 


2.868 


— 1 


150 


1.66 


3 


98 





—0.438 


+8.24 


;— 0.053 


—9.10 


29 


28.50 


2.999 





111 


2.61 


3 


91 


I 100 


0.533 


7.80 


j+0.048 


9.03 


July 9 


8.47 


3.090 





70 


3.47 


3 


81 


i 200 
| 300 


0.624 
0.709 


7.30 
6.74 


0.148 
1 0.248 


8.89 
8.68 


200, 19 


18.44 


3.139 





+ 28 


4.22 


3 


70 


I 400 


0.787 


6.11 


! 0.345 


8.39 


29 


28.42 


3.146 


+ 1 


— 14 


4.87 


3 


58 


I 




1 


Au£. 8 


7.39 


3.112 


2 


56 


5.38 


3 


46 


I 


1869. 


1877. 


18 

28 


17.36 
27.33 


3.036 
2.927 


3 
3 


94 
125 


5.79 
6-. 08 


4 

4 


35 
24 



100 


—0.761 

0.835 


+6.33 
5.67 


+0.313 

j 0.408 


—8.49 
8.16 


Sept. 7 
17 

27 


6.31 
16.28 

26.25 


2.789 
2.629 
2.459 


3 
3 
3 


150 
166 
173 


6.27 
6.36 
6.35 


4 
4 
4 


14 
+ 4 
— 6 


i 200 

i 300 

400 


0.902 
0.960 
1.010 


4.97 
4.22 
3.44 


! o.noi 

j 0.589 
j 0.673 


7.76 

7.29 
6.77 


Oct. 7 


6.22 


2.286 


3 


171 


6.25 


4 


15 


j 


1870. 


1878. 


17 


16.20 


2.121 


3 


159 


6.06 


4 


24 


I 

























-0.994 


+3 71 


'+0.645 


-6.95 


300, 27 


26.17 


1.972 


2 


136 


5.78 


4 


34 


i 100 


1.038 


2.91 


0.725 


6.39 


Nov. 6 


5.14 


1.852 


2 


105 


5.39 


4 


44 


] 200 


1.073 


2.08 


0.800 


5.77 


16 


15.J2 


1.765 


2 


67 


4.89 


4 


54 


! SOU 


1.098 


1.24 


0.868 


5.11 


26 


25. 09 


1.7 J 9 


2 


— 25 


4.30 


4 


64 


400 


1.115 


+0.40 


0.929 


4.39 


Dec. 6 


5.06 


1.715 


1 


+ 19 


3.62 


4 


74 




1871. 


1S79. 


16 
26 


15.03 

25.01 


1.757 

1.813 


+ 1 



64 

108 


2.83 
1.97 


4 

4 


83 
89 





— i.in 


+0.68 


+0.909 


—4.63 


36 


34.98 


+1.971 





+ 148 


+ 1.06 


+ 4 


- 92 


i 100 

} 200 

300 

400 


1.121 
1.121 
1.112 


—0.17 
1.01 
1.85 


U.965 
1.UJ3 
1.053 


3.90 
3.12 
2.32 














L094 


2.66 


1.084 


L50 
















1872 B. 


1880 B. 




* 


6 0, 


Dec. 2' 


7.8. 












* 


6 Mean £ 


Sun, Dec. 2* 


3.2. 





100 
200 
300 

400 


—1.101 

1.076 

1.043 

1.000 

—0.950 


—2.39 
3.19 
3.96 
4.70 

—5.39 


+ 1.075 
1.099 
1.115 
1.122 

+1.119 


—1.78 
0.95 
—0.10 
+0.74 
+1.59 



SPECIAL TABLES. 



205 











TABLE XXIV 


.— /? Lyrse. 








h m 
R.A. 18 45.3. 


/ 

Dec. + 33 13. 






Upper transit at fictitious meridian. 










A o rt 




A 0* 


Side 
real 
Day 


A a a 


A & 


1 

I A Q a 


A Q<> 




Sidereal Day. 


Mean Day. 


















1870. 


Var. in 

10 y. 


Diff. foi 
10 d. 


1870. 


Var. in 
10 y. 


Din*, for 
10 d. 




1865. 

s " 


1873. 

8 " 




















C 
10C 


+0.521 
0.466 


+8.14 
8.51 


—0.699—5.55 




















1 0.6fte 


6.19 








s 






" 






20C 


0.407 


8.81 


1 0.631 


6.76 




0, Jan. 


0.00 


—1.600 





+ 77 


— 0.21 


+ 2 


—294 


300 


0.344 


9.03 


I 0.59C 


7.29 




10 


9.98 


1.499 


— 1 


124 


3.16 


2 


294 


400 


0.278 


9.17 


0.543 


7.75 




20 


19.95 


1.353 


1 


168 


6.05 


2 


282 










30 


29.92 


1.165 


1 


206 


8.76 


2 


259 




1866. 


1871. 




Feb. 9 


8.89 


0.942 


1 


240 


11.20 


2 


227 





























+0.301 


+9.13 


—0.560—7.60 




19 


18.87 


0.687 


2 


268 


13.28 


2 


186 


100 


0.233 


9.22 


0.510 


8.01 




Mar. 1 


0.84 


408 


2 


291 


14.90 


2 


138 


200 


0.163 


9.23 


0.457 


8 37 




11 


10.81 


—0.107 


2 


308 


16.02 


1 


85 


300 


0.092 


9.15 


0.400 


8.65 




21 


20.79 


+0.206 


2 


318 


16.58 


+ 1 


— 28 


400 


0.020 


9.00 


0.339 


8.85 




31 


30.76 


0.527 


3 


322 


16.58 





+ 29 




1867. 


1875. 




100, Apr. 10 
20 


9.73 
19.70 


0.848 
1.165 


3 
2 


320 
311 


16.00 
14.90 






84 
135 



10( 


+0.045 

—0.028 


+9.06 
8.86 


—0.3601—8.79 
0.298 8.95 




30 


29.68 


1.469 


2 


297 


13.31 





182 


200 


0.100 


8.57 


0.233 9^04 




May 10 


9.65 


1.757 


2 


276 


11.29 





220 


300 


0.171 


8.22 


0.1671 9.05 




20 


19.62 


2.020 


2 


249 


8.94 





251 


4 CO 


0.240 


7.79 


0.093! 8.99 




30 


29.59 


2.254 


1 


217 


6.30 


— 1 


274 




1S68 B. 


1876 B. 




June 9 


8.57 


2.453 


1 


180 


3.48 


— 1 


288 










19 


18.54 


2 0J3 


— 1 


138 


— 0.56 





293 





—0.217 


+7.94 


-0.122i-9.02 




29 


28.51 


2.729 





92 


+ 2.36 





291 


100 


0.285 


7.47 


'—0.0541 8 91 




July 9 


8.48 


2.797 





+ 44 


5.24 





282 


200 
300 


0.350 
0.412 


6.93 
6.33 


+0.0J5 8.72 
0.084 8.46 




200, 19 


18.46 


2.817 


+ 1 


— 4 


7.99 





266 


400 


0.471 5.68 


0.152: 8.14 




29 


28.43 


2.790 




51 


10.55 





244 










Aug. 8 


7.40 


2.716 


1 


96 


12.86 


+ 1 

1 
1 


217 




1869. 


1877. 




18 
28 


17.38 
27.35 


2.599 
2.442 


1 
2 


138 
174 


14.88 
16.57 


186 
151 



100 


—0.451 

0.507 


+5.90 
5.22 


+0.129 
0.190 


—8.25 

7.88 




Sept. 7 
17 
27 


6.32 
16 29 
26.27 


2.253 
2 039 
1.810 


2 
3 
3 


203 
223 
234 


17.89 

18.81 
19.32 


1 

2 
2 


112 
72 

+ 30 


200 
300 
400 


0.559 
0.605 
0.646 


4.49 
3.73 
2.93 


0.262 

0.326 
0.387 


7.44 
6.94 
6.38 




Oct. 7 


6.24 


1.574 


2 


235 


19.41 


2 


— 14 




1870. 


1878. 




17 


16.21 


1.343 


2 


225 


19.03 


2 


58 





— 0.633+3.21 


+0.367!— 6.58 




300, 27 


26.18 


1.128 


2 


205 


18.24 


3 


102 


100 


0.670J 2.39! 


0.4261 5.98 




Nor. 6 


5.16 


0.936 


2 


177 


17.00 


3 


145 


20d 


0.701 1.56 


0.482J 5.34 




16 


15.13 


0.776 


1 


142 


15.36 


-4 


184 


300 


0.726+0.72 


0.534 4.65 




26 


25.10 


0.654 


1 


99 


13.35 


4 


220 


400 


0.745—0.12 


0.582) 3.91 




Dee, 6 


5.08 


0.579 


1 


51 


10.99 


4 


250 




1871. 


1870. 




16 


15.05 


0.552 


+ 1 


— 2 


8.37 


4 


274 










26 


25 02 


0.575 





+ 48 


5.53 


5 


289 





—0.740+0.16 


+0.5661 


-4.17 




36 

1 


34.99 


+0.647 


-' 


+ 95 


+ 2.61 


+ 5 


-294 


100 
200 
300 
400 


0.754 
0.702 
0.764 
0.760 


-0.68 
1.52 
2.34 
3.14 


0.6 II 

0.651 
0685 
0.714 


3 41 | 
2.62 
1.81 
0.99 


















* d 


0, 


Dec. 31.7. 






1872 B. 


ISSO B. 






* d 


Mean Si 


in, Jan. 1.3. 





100 
200 
300 


—0.762] — 2.87, +0.7051—1.27 
0.753 3.65 j 0.729—0.43 
0.738 4.40 0.748+0.41 I 
0.716 5.111 0.760 1.25 ! 














400- 

1 


-0.6891—5.77 +0.766+2.08 | 



206 



SPECIAL TABLES. 

































TABLE XXIV.-ff 


Sagittarii. 






h m 
R.A. 18 47.2. 


o / 
Dec.'— 26 27. 






Upper transit at fictitious meridian. 




Sidereal Day. 


Mean Day. 


A Q a 


A Q c> 


Side- 
real 
Day. 


A Cl a 


A o^ 


A oQ fl 


















j 








1870. 


Var.in 
10 y. 


Diff. for 
10 d. 


1870. 


Var.in 
10 y. 


Diff foi- 
10 d. 




1S65. 

g // 


1873. 

H " i 



















100 
200 


+0.717 
0.615 
0.507 


+8.16 

8.53 ! 

8.82' 


—1.079—5.60 1 

1 l\1 1 « .10 














// 






L.UJ 1 

0.936 


6.80 | 




0, Jan. 


0.01 


—1.489 





+132 


- 1.13 


— 3 


+ 30 


300 


0.394 


9.03 


0.853 


7.32 i 




10 


9.98 


1.335 





174 


0.84 


2 


28 


400 


0.278 


9.17 


0.763 


7.77 1 




20 


19.95 


1.143 


- 1 


210 


0.57 


2 


26 






i 




30 


29.92 


0.917 





242 


0.32 


2 


26 




1866. 


1874. 




Feb. 9 


8.90 


0.661 


2 


269 


- 0.05 


2 


28 



100 


+0.317 
0.199 


+9.13 
9.22 


—0.794 
0.700 


—7.63 

8.04 




19 


18.87 


0.381 


2 


290 


+ 0.24 


1 


30 


200 


+0.079 
—0.042 


9.22 


0.600 


8.38 




Mar. 1 


0.84 


—0.082 


3 


307 


0.55 


— 1 


32 


300 


9.14 


0.496 


8.66 




11 


10.81 


+0.232 


3 


319 


0.88 





36 


400 


0.162 


8.98 


0.388| 8.86 




21 


20.79 


0.555 


4 


327 


1 26 


+ 1 


40 










31 


30.76 


0.885 


4 


331 


1.67 


1 


43 




1867. 


1875. 




100, Apr 10 
20 


9.73 


1.216 


4 


331 


2.11 


1 


45 





—0.122 


+9.04 


—0.425 


—8.80 




19.70 


1.546 


4 


327 


2.57 


2 


44 


100 


0.241 


8.83 


0.314 


8.95 




30 


29 68 


1.869 


*3 


318 


3.00 


3 


42 


200 


0.359 


8.55 


0.201 


9.04 




May 10 

20 


9.65 


2.181 


3 


303 


3.41 


3 


39 


300 


0.473 


8.19 


—0 087 


9.04 ! 




19.62 


2.474 


3 


283 


3.77 


3 


32 


400 


0.583 


7.75 


+0.028 


8.97 | 




30 


29.60 


2.746 


3 


258 


4.04 


4 


23 




1868 B. 


1876 B. 




June 9 
19 
29 

July 9 


8 57 
18.54 
28.51 

8.49 


2.988 
3.195 
3.364 

3.488 


2 

1 

— 1 

+ 1 


225 
189 
147 
101 


4.22 
4.30 
4.26 
4.12 


4 
4 
5 
5 


13 

+ 2 

— 9 

19 



100 
200 
300 


—0.546 

0.652 
0.753 

0.847 


+7.91 
7.43 

6.89 
6.29 


-0.011 

+0.104 

0.219 

0.331 


—9.01 

8.89 
8.70 

8.44 




200, 19 


18.46 


3 566 


1 


54 


3.88 


5 


28 


400 


0.933 


5.63 


0.441 


8.10 




29 


28.43 


3.595 


1 


+ 5 


3.57 


5 


35 




1869. 


1877. 




Aug. 8 

18 


7.40 


3.577 


2 


— 41 


3.19 


5 


39 










17.38 


3.514 


2 


85 


2.79 


5 


41 


G 


—0.905 +5.85 


+0.404 


—8.22 




. 


27.35 


3.408 


3 


124 


2.38 


5 


40 


100 
200 


0.986 

1.058 


5.17 

4.44 


0.512 
0:615 


7.84 
7.40 




i Sept. 7 


6.32 


3.269 


3 


153 


2.00 


5 


36 


300 


1.121 


3.67 


0.714 


6.89 




17 


16.30 


3.104 


4 


176 


1.66 


5 


30 


400 


1.174 2.88 


0.807 


6.33 




27 


26.27 


2 920 


4 


188 


1.41 


5 


21 










Oct. 7 


6.24 


2.732 


4 


188 


1.25 


4 


11 




1870. 


1878. 




17 


16.21 


2.548 


3 


178 


1.19 


4 


— 1 





























—1.157+3.15 


+0.776 


—6.53 




300, 27 


26.19 


2.380 


3 


156 


1.22 


4 


+ 8 


100 


1.203 2.34 


0.865 


5.93 




Nov. fi 


5.16 


2.239 


3 


124 


1.35 


3 


17 


200 


1.239 1.51 


0.940 


5.28 




10 


15.13 


2.134 


3 


86 


* 1.56 


3 


24 


30( 


1.264'+0.66 


1.021 


4.59 




26 


25.10 


2.069 


2 


— 42 


1.82 


3 


28 


400 


1.278—0.18 


1.086 


3.85 




Dec. 6 

I 


5.08 


2.051 


1 


+ 7 


2.11 


3 


30 




1871. 


1879. 




16 


15.05 


2.083 


+ 1 


56 


2.42 


3 


31 





—1.274-4-0.11 


+1.065—4.11 




26 


25.02 


2.163 





103 


2.73 


3 


31 


100 


1.281 


—0.74 


1.125 


3.35 




36 
1 


34.99 


1+2.289 





+147 


+ 3.03 


+ 3 


+ 29 


200 
300 
400 


1.277 
1.262 
1.230 


1.57 
2.39 
3.19 


1.176 
1.217 
1.24b 


2.56 
1.75 
0.92 




















1872 B. 


1880 B. 






# 6 0, Jan. 1.1. 
>jc 6 Mean Sun, Jan. 1.8. 




c 

100 


— 1.24C 
1.21^ 


—2.93 
3.70 


+1.239—1.20 
1.262—0.37 










200 


1.17J 


4.44 


1.276+0.47 










300 


1.116 


5.15 


1.2791 1.31 










400 


—1.057 


—5.81 


+ 1.27l!+2.14 


Ji 































SPECIAL TABLES. 



207 



1 


TABLE XXIV.-* 


50 Draconis 


. 




h m 

R.A. 18 50.6. 


Dec. + 7 


/ 

3 17. 


Upper transit at fictitious meridian. 






A a 




A d 


! Side- A 
! real Aq<z 


A ^ 


A Q a 


A Q< 5 


Sidereal Day. 


Mean Day. 








JDay. | 








1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


• 
Diff. foi- 
10 d. 




1865. 

s " 


1873. 

6 " 



















100 


+0.029 
0.106 


+8.20 
8.56 


+0.313J— 5.66 
0.24'i 6.28 






















s 






a 






200 


0.182 


8.84 


0.169; 6.85 


0, Jan. 


0.01 


-5.329 


— 5 


— 99 


+ 1.38 


— 2 


—349 


300 


0.257 


9.04 


0.095 7.36 


10 


9.98 


5.345 


4 


+ 68 


— 2.14 


2 


353 


400 


0.330 


9.17 


0.021! 7.81 


20 


.19.95 


5.195 


3 


233 


5.63 


2 


343 








30 


29.92 


4.882 


— 2 


389 


8.96 


2 


321 




1866. 


1874. 


Feb. 9 


8.90 


4.420 





531 


12.01 


2 


287 
























+ 


+0.046 


—7.66 


19 


18.87 


3.826 


+ 1 


654 


14.67 


2 


242 


100 


0.376, 9.21 


—0.029 


8.07 


Mar. 1 


0.84 


3.120 


3 


754 


16.83 


2 


188 


200 


0.444 9.20 


0. 103 


8.40 


11 


10.82 


2.328 


4 


826 


18.41 


1 


128 


300 


0.507; 9.11 


0.176 


8.67 


21 


20.79 


1.477 


5 


870 


19.37 


1 


— 63 


400 


0.567J 8.94 


0.248 


8.87 


31 


30.76 


-0.598 


5 


884 


19.67 


— 1 


+ 3 




1867. 


1875. 


100, Apr. 10 


9.73 


+0.282 


6 


870 


19.30 





68 





+0.547 


+9.01 


—0.224—8.81 


20 


19.71 


1.132 


7 


826 


18.31 





130 


100 


0.603 


8.79 


0.294 


8.96 


30 


29.68 


1.926 


7 


758 


16.73 


+ 1 


186 


200 


0.654 


8.49 


0.362 


9.02 


May 10 


9.65 


2.641 


6 


667 


14.62 


1 


235 


300 


0.699 


8.12 


0.427 


9.03 


20 


19.62 


3.254 


6 


557 


12.05 


2 


276 


400 


0.738 


7.68 


0.488 


8.95 


30 


29.60 


3.750 


6 


432 


9.14 


2 


307 




1868 B. 


1876 B. 


June 9 


8.57 


4.113 


5 


294 


5.95 


2 


329 








19 


18.54 


4.336 


4 


150 


— 2.58 


2 


342 





+0.725 


+7.84 


—0.468 


-8.99 


29 


28.52 


4.412 


2 


+ 2 


+ 0.86 


2 


346 


100 


0.760 


7.35 


0.526 


8.83 


July 9 


8.49 


4.339 


+ I 


—146 


4.30 


1 


340 


200 
300 


0.788 
0.809 


6.80 
6.19 


0.581 
0.630 


8.66 
8.39 


200, 19 


18.46 


4.120 





290 


7.64 


1 


327 


401 


0.823 


5.54 


0.675 


8.06 


29 


28.43 


3.761 


— 2 


427 


10.81 


1 


306 








Aug. 8 


7.41 


3.269 


4 


544 


13 73 


+ 1 


278 




1869. 


1877. 


18 


17.38 


2.657 


5 


667 


16 35 





244 


0+0.819 


+5.77 


-0.660—8.18 


28 


27.35 


1.940 


6 


765 


18.60 





205 


100 
200 


0.828 

0.830 


5.08 
4.34 


0.701 
0.736 


7.80 
7.35 


Sept. 7 


6.32 


1.134 


8 


844 


20.44 


— 1 


162 


300 


0.824 


3.57 


0.765 


6.84 


17 


16.30 


+0.259 


9 


902 


21.82 


1 


112 


400 


0.813 


2.78 


0.788 


(5.27 


27 


26.27 


—0.663 


10 


938 


22.71 


2 


64 








Oct. 7 


6.24 


1.610 


11 


951 


23.09 


2 


+ 11 




1870. 


1878. 


17 


16.22 


2.556 


12 


938 


22.94 


3 


— 43 



























+0.818 


+3.05 


—0.781 


-6.47 


300, 27 


26.19 


3.477 


12 


900 


22.24 


3 


97 


100 


0.801 


2.23 


0.800 


5.87 


Nov. 6 


5.16 


4.348 


13 


837 


21.00 


4 


150 


200 


0.777 


1.40 


0811 


5.21 


16 


15.13 


5.143 


13 


749 


19.24 


4 


201 


t 300 


0.746 


+0.56 


0.817 


4 52 


26 


25.11 


5.838 


12 


639 


17.00 


5 


247 


400 


0.710 


-0.28 


0.816 


3.78 


Dec. 6 


5.08 


6.413 


12 


508 


14.33 


5 


287 




1871. 


1879. 


10 

26 

36 


15.05 
25.02 
35.00 


6.849 

7.132 

—7.252 


12 
11 

—10 


362 

203 

— 37 


11.29 

7.98 
+ 4.51 


5 

5 

— 5 


319 

341 

—352 



100 
200 


+0.723 
0.682 
0.636 


+0.01 

—0.84 

1.67 


—0.817 
0.811 
0.798 


i 
—4.03 
3 28 
2.49 


















300 


0.584 


2.48 


0.779 1.68 








400 


0.528 


3.27 


0.753! 0.85 










1872 B. 


I88OB. 


1 


* d 0, Jan. 1.7. 












>fc 6 Mean Sun, Jan. 2.7. 







+0.548 


— 3.0 J 


—0.762 


—1.13 




% 8 Mean Sun, July 4.3. 




100 


0.488 


3.78 


0.732 


—0.29 








200 


0.425 


4.52 


0.696 


+0.55 








300 


0.358 


5.22 


0.653 


1.38 








400 


+0.289 


—5.87 


—0.605 


+2.21 






208 



SPECIAL TABLES. 



i 






TABLE XXIV.- 


s Aquilae. 






h m 

E.A. 18 59.4. 




o / 

Doc. + 13 40. 


Upper transit at fictitious meridian. 








^O a 




* Ji 


Side- 
real 


A a a 


A Q d 


A ^ a 1 A ^ 


Sidereal Day. 


MeanDay. 










Day. 




1 


1H70. 


Var. in 

10y. 


Diff. for 
10 d. 


1870. 


Var. in Diff. for 
10 y. 10 d. 




1865. 

s " 


1873. 

s 


















100 


+0.600 +8.29 


—0.841 
0.798 


—5.85 
6.45 


















0.529 


8.02 






s 






a 






200 


0.452 


8.87 


0.748 


7.00 


0,Jan. 


0.01 


—1.367 





+ 84 


— 0.34 


+ I 


—205 


300 


0.372 


9.05 


0.693 


7.49 


10 


9.99 


1.263 





123 


2.40 




205 


400 


0.288 


9.14 


0.631 


7.91 


20 


19.96 


1.122 


— 1 


159 


4.42 




198 








30 


29.93 


0.947 


1 


191 


6.33 




182 




1866. 


1874. 


Feb. 9 


8.90 


0.742 


1 


218 


8.04 




159 



























+0.316 


+9.13 


—0.652 


—7.77 


19 


18.88 


0.513 


2 


241 


9.48 


1 


128 


100 


0.231 


9.18 


0.587 


8.15 


Mar. 1 


0.85 


—0.261 


2 


261 


10.58 





92 


200 


0.143 


9.14 


0.517 


8.47 


Jl 


10.82 


+0.008 


2 


276 


11.31 





52 


300 


+0.C54 


9.03 


0.444 


8.71 


21 


20.79 


0.289 


3 


288 


11.62 





— 10 


400 


—0.035 


8.84 


0.366 


8.88 


31 


30.77 


0.578 


3 


292 


11.50 





+ 33 




1867. 


1875. 


100, Apr. 10 


9.74 


0.872 


3 


294 


10.96 





75 





— 0.C05 +8.91 


—0.3931—8.83 


20 


19.71 


1.165 


2 


291 


10.02 





112 


100 


0.094 


8.67 


0.314 8.95 


30 


29.69 


1 452 


2 


282 


8.74 





145 


200 


0.183 


8.35 


0.23*J 9. CO 


May 10 


9.66 


1.728 


2 


269 


7.14 





173 


300 


0.270 


7.96 


0.148 8.97 


20 


19.63 


1.988 


2 


250 


5.30 





196 


400 


0.354 


7.50 


0.064| 8.87 


30 


29.60 


2.227 


1 


226 


3.25 





211 




1868 B. 


1876 B. 


June 9 


8.58 


2.438 


1 


196 


— 1.10 


1 


218 








19 


18.55 


2.617 


— 1 


161 


+ 1.10 


1 


221 





—0.326 


+7.66 


—0.092 


—8.91 


29 


28.52 


2.759 





122 


3.30 


1 


217 


100 


0.408 


7.1C 


—0.007 


8.76 


July 9 


8.49 


2.861 


+ 1 


81 


5.42 


1 


207 


200 
300 


0.487 
0.561 


6.5C 
5.97 


+0.078 
0.163 


8.54 

8.25 


200, 19 


18.47 


2.921 


1 


+ 38 


7.43 


1 


193 


400 


0.630 


5.30 


0.246 


7.fc9 


29 


28.44 


2.937 


1 


— 6 


9.27 


1 


175 








Aug. 8 


7.41 


2.909 


1 


49 


10.92 


2 


154 




1869. 


1877. 


18 

28 


17.39 
27.36 


2.840 
2.736 


2 
2 


87 
121 


12.35 
13.52 


2 
2 


ISO 
104 



100 


—0.607 
0.67b 


+5.53 

4.83 


+0.218 
0.300 


-8.02 
7.61 


Sept. 7 


6.33 


2 599 


2 


151 


14.44 


2 


77 


200 
30C 


G.fcfe 

0.785 


4.08 
3.3i 


0.380 
0.457 


7.14 
6.62 


17 


16.30 


2.437 


2 


172 


15.07 


2 


49 


40C 


0.831 


2. 5(, 


0.530 


fi rtd 


27 


26.28 


2.258 


2 


183 


1542 


3 + 20 








Oct. 7 


6.25 


2.074 


2 


186 


15.48 


4 — 10 




1870. 


1878. 


17 


16.22 


1.890 


2 


179 


15.22 


4 


39 



























—0.817 


+2.76 


+0.506—6.24 


300, 27 


26.19 


1.720 


2 


162. 


14.69 


4 


68 


100 


0.858 


1.9C 


0.576 5 62 


Nov. 6 


5.17 


1.569 


2 


137 


13.85 


4 


97 


200 


0.892 


1.1-8 


0.642] 4.95 


16 


15.14 


. 1.448 


2 


104 


12.75 


4 


124 


300 


0.918 


+0.29 


0.703J 4.25 


26 


25.11 


1.362 


2 


68 


11.37 


4 


151 


400 


0.936 


—0.55 


0.7C8, 3.1 SO 


Dec. 6 


5.09 


1.314 


1 


— 28 


9.75 


. 5 


172 




1871. 


1879. 


16 

26 
36 


15.C6 
25.03 
35. CO 


J. 307 

1.344 

+1.423 


1 

+ 1 



+ 15 

58 
+ 99 


7 95 

6. CO 
+ 3.94 


5 

5 

+ 9 


188 

201 

—206 




100 
200 


-0.930 
0.943 
0.948 


—0.27 
J.Ki 

1.93 


+0.740 
0.791 
0.835 


-3.76 
2.99 
2.20 














300 


0.945 


2.73 


0.873 


1.38 














400 


0.933 


3.5: 


0.903 


—0.56 
















1873 B. 


1880 B. 




4 


6 0, 


Jan. 3. 


6. 










1 


* 


d Mean I 


Sun, Jan. 4. 


9. 




f 

100 
200 
300 

400 


_0. 938'— 3.25 
0.922 4.01 
0.897! 4.74 
0.866; 5.42 

—0.827-6.06 


+0.894|—0.84 
0.9191 0.00 
0.9371+0.83 
0.947 1.66 

+0.949+2.48 



SPECIAL TABLES. 



209 









TABLE XXIV.-rfSagittarii. 






h m 

E.A. 19 10.0. 




o / 

Dec. — 19 11. 








Upper transit at fictitious meridian. 








* Q a 






A oi 


Side- 
real 


A ^ a 


^ 


A Q a 


A .¥ 


Sidereal Day. 


Mean Day. 












Day. 
































1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1S6.3. 

s " 


1873.^ 


















J 


+0.673 


+8.37 
8.67 


—h 01 6— 6.06 


















100 0.576 


0.952 


6.64 






8 






// 






200 


0.474 


8.90 


0.880 


7.16 


0,Jan. 


0.02 


-1.397 





+100 


— 1.76 


— 1 


— 10 


300 


0.367 


9.05 


0.802 


7.62 


10 


9.99 


J. 277 





139 


1.85 


1 


9 


400 


0.257 


9.12 ! 


0.716 


8.01 


20 


19.97 


1.119 


— 1 


176 


1.93 


1 


6 




| 




30 


29.94 


0.916 


1 


209 


1.97 


1 


— 1 




1866. 


1871. 


Feb. 9 


8.91 


0.703 


2 


236 


1.95 


1 


-f- 5 



























+0.294'+9.10; 


—0.746 


—7.89 


19 


18.88 


0.456 


2 


258 


1.87 


— 1 


13 


100 


0.182 


9.12, 


657 


8 24 


Mar. 1 


0.86 


—0.188 


3 


277 


1.69 





23 


200 


+0.069 


9.06 


0.563 


8.52 


11 


10.83 


+0.097 
0.396 


3 


293 


1.39 





35 


300 


—0.045 


8.92 : 


0.464 


8.73 


21 


20.80 


3 


304 


0.97 





47 


400 


0.159 


8.70| 


0.361 


8.87 


31 


30.78 


0.703 


3 


312 


— 0.44 


+ 1 


57 




1867. 


1875. 


100, Apr. 10 


9.75 


J. 018 


4 


316 


+ 0.17 


1 


66 





— 0.120 +8.78 1 


—0.396 


—8.84 


20 


19.72 


1.334 


4 


315 


0.88 


1 


74 


100 


0.233 


8.511 


0.292 


8.93 


30 


29.69 


1.646 


3 


309 


1.65 


2 


78 


200 


0.344 


8.17! 


0.185 


8.95 


May 10 


9.67 


1.95 L 


3 


300 


2.44 


2 


79 


300 


0.451 


7.75 


0.077 


8.89 


20 


19.64 


2.244 


2 


284 


3.23 


2 


77 


400 


0.555 


7.27i 


+0.031 


8.76 


30 


29.61 


2.517 


2 


261 


3.98 


•> 


72 




1868 B. 


1876 B. 


June 9 


8.58 


2.764 


2 


232 


4.66 


3 


64 








19 


18.56 


2.980 


1 


199 


5.25 


4 


54 





—0.521 


+7.44 


—0.0051— 8.81 


29 


28.53 


3.161 


— 1 


160 


5.74 


4 


43 


100 


0.621 


6.9l! 


+0.103 


8.64 


July 9 


8.50 


3.299 





117 


6.12 


5 


31 


200 
300 


0.716 

0.804 


6.33, 
5.69 


0.211 
0.317 


8.39 
8.07 


200, 19 


18.47 


3.394 





72 


6.37 


5 


18 


400 


0.885 


5.00' 


0.421 


7.69 


29 


28.45 


3.443 





+ 25 


6.48 


5 


+ 6 








Aug. 8 


7.42 


3 445 


+ 5 


— 20 


6.49 


5 


- 3 




1869. 

1 


1877. 


18 


17.39 


3.404 


2 


63 


6.42 


5 


12 





—0.859 4-5. 24 ] 


+0.387 


—7.82 


28 


27.37 


3.320 


2 


103 


6.26 


5 


18 


100 
200 


0.935 
1.003 


4.52 
3.77, 


0.488 
0.585 


7.39 
6.90 


Sept. 7 


6.34 


3.200 


2 


135 


6.06 


5 


21 


300 


1.061 


2 98, 


0.678 


6.36 


17 


16.31 


3.052 


2 


158 


5.83 


5 


22 


400 


1.111 


2.18 


0.766 


5.7(5 


27 


26.28 


2.886 


3 


173 


5.61 


4 


22 








Oct. 7 


6.26 


2.710 


3 


178 


5.38 


4 


21 




187©. 


1878. 


17 


16.23 


2.534 


3 


171 


5.19 


4 


18 



























— 1.095 


+2.45; 


+0.737 


—5.96 


300, 27 


26.20 


2.371 


3 


156 


5.02 


4 


15 


100 


1.138 


1.63 


0.820 


5.33 


Nov. 6 


5.17 


2.226 


3 


130 


4.89 


4 


13 


200 


1.172 


+0.80 


0.89? 


4.65 


16 


15.15 


2.114 


3 


95 


4.7? 


3 


11 


300 


1.194 


—0.04; 


0.967 


3.93 


26 


25.12 


2.037 


2 


57 


4.67 


3 


10 


400 


1.207 


0.87; 


1.029 


3.18 


Dec. 6 


5.09 


2.001 


2 


— 14 


4.58 


3 


10 




1871. 


1879. 


16 

26 
36 


15.07 
25.04 
35.01 


2.009 

2.062 

+2.156 


1 

+ 1 



+ 30 

74 

+115 


4.48 
4.3J 

+ 4.28 


3 
3 

+ 3 


10 

10 

— 10 



100 
200 
300 


—1.204 
1.210 
1.206 
1.191 


— 0.59 : 
1.42 
2.23 
3.02: 


+1.009 
1.065 
1.112 
1.151 


—3.44 

2.67 
1.87 
1.05 
















400 


1.166 


3.79 


1.180 


0.23 


















1§J2B. I 


1SSOB. 




* 


(3 0, 




Jan. 6 


.0. 






1 






* 


<5 Mean 


Sun, 


Jan. 7 


.6. 





100 
200 
300 


—1.176 
1.145 
1.104 
1.054 


-3.53 

4.28 
4.98| 
5.64 


+1.171 
1.193 
1.206 

1.208 


—0.51 

+0.32 

1.15 

1.97 
















400 


—0.996 


— 6.26 1 

1 


+1.200 


+2.78 



14 



210 



SPECIAL TABLES. 



TABLE XXIV.—* t Draconis. 

o / 

Pec. + 67 26. 



h m 
It.A. 19 12.5. 



Upper transit at fictitious meridian. 



Sidereal Day. 



MeanDay 



0,Jan. 

10 

20 

30 

Feb. 9 

19 
Mar. 1 
11 
21 
31 

100, Apr. 10 

20 

30 

May 10 

20 

30 
June 9 
19 
29 
July 9 



A Q a 



1870. 



Var.in 
10 y. 



200. 



19 

29 
Aug. 8 

18 
28 

Sept. 7 
17 
27 

Oct. 7 
17 



300, 27 

Nov. 6 

16 

26 

Dec. 6 

16 
26 
36 



+ 0.02 

10.00 

19.97 

29.94 

8.91 

18.89 
0.86 
10.83 
20.80 
30.78 

9.75 
19.72 

29.70 

9.67 

19.64 

29.61 

8.59 
18.56 
28.53 

8.50 

18.48 
28.45 
7.42 
17.40 
27.37 

6.34 
16.31 

26.^9 

6.26 

16.23 

26.20 

5.18 

15.15 

25.12 

5.10 

15.07 
25.04 
35.01 



Diff. foi 
10 d. 



s 

-3.474 
3.495 
3.409 
3.218 
2.928 

2.548 
2.090 
1.569 
1.001 
—0.405 

+0.203 
0.804 
1.330 
1.915 
2.393 

2.802 
3.132 
3.372 
3.517 
3.565 

3.513 
3.362 
3.119 

2.788 
2.379 

1.903 
1.372 

0.803 

+0.209 

-0.391 

0.980 
1.541 
2.057 
2.511 

2.889 

3.180 

3.372 

-3.461 



— 3 
3 

3 
3 

3 

2 

2 
2 

i 

1 



+ 



A Q <5 



1870. 



Var.in 

10 y. 



1 
2 

2 
2 

1 

1 

+ 1 






— 1 

1 
1 

2 

2 
3 
3 
4 
4 

4 

5 
5 



/o 

+ 32 

139 

242 

337 

421 

492 
547 

585 
605 

607 
591 
558 
509 
446 

371 

286 

193 

+ 97 

— 2 

102 
198 
289 
372 
444 

506 
553 

584 
600 
603 

578 
541 
487 
418 
336 

243 

141 

- 35 



+ 2.94 
- 0.55 

4.07 

7.47 

10.63 

13.44 

15.79 
17.59 

18.77 
19.30 

19.17 
18.39 
17.00 
15.05 
12.62 

9.78 

6.64 

- 3.27 

+ 0.23 

3.75 

7.22 
10.55 
13 68 
16.52 
19.03 

21.14 

22.81 
24.00 
24.68 

24.82 



#6 0, Jan. 6.7. 

$c d> Mean Sun, Jan. 8 .2 
^c 8 Mean Sun, July 9.8. 



Diff. for 
10 d. 



Side- 
real 
Day 



24.41 





23.45 





21.95 





19.93 





17.44 





14.56 





11.36 





- 7.95 






—344 
352 

348 
331 
301 

260 

208 

150 

86 

— 20 

+ 46 
109 i 
168 I 
220 ! 
265 i 
i 
301 | 
327 | 
345 I 
352 i 
351 | 

342 I 
324 : 

300 ! 
269 i 
232 I 

190 ! 

144 

94 

+ 41 

- 14 

69 
124 
177 
2*6 

270 



306 
333 i 
-348 ! 




100 
200 
300 
400 




100 
200 
300 
400 



+0.378 
0.402 
0.422 
0.438 
0.451 



A Q<5 



1865. 



+8. 
8. 
8, 
9 
9 



1866. 



+0.447 
0.457 
0.463 
0.465 
0.463 



+9. 
9. 
9. 

8. 

8. 



1867. 



A Q d 



1873. 



-0.230 
0.265 
0.298 
0.328 
0.356 



—6.10 
6.67 i 
7.19 
7.64 

8.03 



1871. 



-0.347 
0.373 
0.395 
0.414 

0.430 



-7.91 

8.25 
8.53 

8.74 

8.87 



1875. 



100 
200 
300 
400 



+0.464 
0.459 
0.450 
0.438 
0.421 




100 
200 
300 
400 




100 
200 
300 
400 



+8.741 
8.47' 
8.12 
7.69' 
7.2l' 



1868 B. 



+0.427 
0.408 
0.386 
0.36U 
0.331 



+7.38 
6.85 
6.26 
5.62 
4.93 



1869. 



+0.341 
0.310 
0.277 
0.24* 
0.204 



+5.17 
4.45 
3.69 
2.91 
2.10 



-0.425 
0.438 
0.448 
0.454 
0.456 



-8.83 
8.92 
8.93 

8.87 
8.73 



1876 B. 



-0.456 
0.456 
0.452 
0.444 
0.433 



—8.79 
8.61 
8.35 
8.03 
7.64 



1877. 



1S70. 



100 
200 
300 
400 



+0.217 



0.178 
0.137 
0.096 
0.054 



+2.37 

1.56 

+0.72 

-0.11 

0.94 



1871. 



0+0.068;— 0.66 



100+0.026 

200— o. or 



300 
400 





100 
200 
300 



0.059 
0.100 



1.49 
2.30 
3.09 4 

3.85 



1872 B. 

—0.086;— 3.60 
0.127 4.34 
O.J 67 5.04 
0.2061 5 69 



-0.437 
0.423 
0.406 
0.386 
0.3(52 



—7.78 
7.35 
6.85 
6.31 
5.70 



1878. 



-0.370 
0.344 
0.316 
0.284 
0.250 



-5.91 

5.28 
4.59 
3.87 
3.12 



1879. 



—0.262 
227 
0.189 
0.150 
0.110 



-3.38 
2.60 i 
1.81 I 
0.99 | 
0.17 



1880 B. 

—0.124—0.45 

0.084+0.38 i 
—0.0411 1.21 I 
+0.002, 2.03 I 



400 1 — 0.242!— 6.30' +0.044+2.83 



'2 



SPECIAL TABLES. 



211 









TABLE XXIV.—* 


r Draco ii is. 










i 




h m 
R.A. 19 18.0. 


O 1 

Dec. + 73 7. 


! 


j 
Upper transit at fictitious meridian. 






A Q a 




^ 


Side- 
real 


A £l a 


A a<> 


A Q a 


A Q<> | 


Sidereal Day. 


Mean Day. 








Day. 










1870. 


Var. in 

10y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. j 

B 



















100 


+0.329 
0.393 


+8.43 
8.71 


—0.009 
0.079 


—6.20 j 
6.76 | 






| 












s 






" 






200 


0.454 


8.91 


0.148 


7.26 i 


0,Jan. 


0.03 


—4.576 


— 6 


—160 


+ 3.64 


— 1 


—339 


300 


0.511 


9.03 


0.216 


7.70 ' 


10 


10.00 


4.665 


5 


— 16 


+ 0.19 




350 


400 


0.563 


9.08 


0.282 


8.08 . 


20 


19.97 


4.609 


5 


+128 


- 3.31 




348 






! 


30 


29.94 


4.410 4 


267 


6.72 




333 




1866. 


1874. 


Feb. 9 


8.92 


4.077 


4 


398 


9.92 




305 






1 





















+0.5461+9.07 


—0 260 


—7.96 j 


19 


18.89 


3.619 


3 


517 


12.78 




266 


100 


0.5-95, 


9.06 


0.324 


8.29 1 


Mar. 1 


0.86 


3 053 


2 


613 


15.20 




216 


200 


639 


8.98 


0.386 


8.55 ' 


11 


.10.83 


2.400 


— 1 


691 


17.08 




159 


300 


0.677 


8.81 


0.444 


8.74 ' 


21 


20.81 


1.679 





745 


18.36 




97 


400 


0.710 


8.57 


0.499 8.86 


31 


30.78 


0.917 


+ 1 


775 


19.00 


— 1 


— 31 




1867. 


1875. 


100, Apr. 10 


9.75 


-0.138 


2 


779 


18.98 





+ 34 





+0.700 


+8.66 


—0.481—8.83 ; 


20 


19.73 


+0.633 


3 


759 


18.32 





98 


100 


0.728 


8.37 


0.532 


8.90 j 


30 


29.70 


1.371 


4 


715 


17.04 





157 


2C0 


0.750 


8.01 


0.580 


i 
8.89 ; 


May 10 


9.67 


2.055 


4 


650 


15.19 





210 


300 


0.766 


7.57 


0.622 


8.82 ! 


20 


19.64 


2.665 


4 


566 


12.85 


+ l 


256 


400 


0.774] 7.08 


0.659 


8.67 ', 


30 


29.62 


3.182 


4 


466 


10.09 




294 




1868 B. 


1876 B. 


June 9 


8.59 


3.593 


4 


354 


7.01 




322 








19 


18.56 


3.887 


4 


232 


3.69 




341 





+0.772+7.25 


—0.648 


—8.73 ! 


29 


28.53 


4.055 


3 


+104 


— 0.23 




350 


100 


0.777 


6.71 


0.681 


8.53 


July 9 


8.51 


4.095 


2 


— 26 


+ 3.29 




351 


200 
300 


0.774 

0.765 


6.11 

5.46 


0.709 8.26 
0.732 7.93 


200, 19 


18.48 


4.004 


+ 1 


155 


6.77 




344 


400 


0.749 


4.77 


0.748| 7.53 | 


29 


28.45 


3.787 





280 


10.13 


+ 1 


328 






i 


Aug. 8 


7.42 


3.447 


— 1 


398 


13.30 





305 




1869. 


1877. 


J8 
28 


17.40 
27.37 


2. 99 J 
2.44'J 


2 
3 


506 
601 


16.21 

18.80 






276 
241 



100 


+0.755 
0.735 


+5.01 

4.26 


—0.743 
0.756 


—7.67 1 
7.23 


Sept. 7 
17 

27 


6.34 
16.32 

26.29 


1.797 

1.083 
+0.314 


4 
5 

6 


681 
745 

789 


21.01 

22.79 
24.10 




— 1 
1 


200 
155 
106 


200 
300 
400 


0.709 
0.676 
0.638 


3.52 
2.74 
1.93 


0.762 
0.762 
0.755 


6.73 j 
6.17 j 
5.56 1 


Oct. 7 


6.26 


—0.488 


7 


813 


24.90 


2 


54 




1870. 


1878. 


17 


16.23 


1.303 


- 8 


815 


25.18 


2 


+ 1 



























+0.652 


+2.20 


—0.758 


-5.77 


300, 27 


26.21 


2.110 


9 


795 


24.91 


2 


— 55 


100 


0.610 


1.38 


0.74? 


5.13 


Nov. C 


5.18 


2.884 


10 


752 


24.08 


2 


111 


200 


0.563 


+0.55 


0.73.1 


4.44 


36 


15.15 


3.605 


10 


687 


22.70 


2 


164 


300 


0.511 


— o.2e 


0.708 


3.71 


26 


25.13 


4.251 


11 


602 


20.80 


2 


214 


400 


0.455 


1.11 


0.679 


2.96 


Dec. 6 


5.10 


4.803 


11 


498 


18.43 


3 


260 




1871. 


1879. 


16 


15.07 


5.242 


12 


379 


15.63 


3 


298 








26 


25.04 


5.556 


12 


247 


12.51 


3 


326 





+0.474 


—0.83 


—0.689 


—3.22 ' 


36 


35.02 


—5.733 


—11 


—106 


+ 9.15 


— 3 


—344 


100 
200 


0.416 
0.354 


1.65 

2.45 


0.657 
0.619 


2.44 | 
1.64 ' 














300 
400 


0.289 
0.222 


3.23 
3.99 


0.575 
0.527 


0.83 j 
0.00 
















1872 B. 


1880 B. 




* 6 0, Jan. 7.9. 








i 




>jc <3 Mean Sun, Jan. 9.6. 







+0.2451-3.74 


_0 544 —0.28 ! 




>jc 8 Mean Sun, July 11.2. 




100 


0.177 


4.47 


i 0.49^2 


+0.54 1 








200 


0.108 


5.16 


0.436 


1.37 ! 








300 


+0.037 


5.80 


0.377 


2.18 | 








400 


—0.033—6.40 


+0.314 


+2.9-8 ! 

i 



212 



SPECIAL TABLES. 



j 






TABLE XXIV.- 


-d Aquilie. 








b no 

K.A. 19 38.9. 


< 
Dec, 4- 2 


> / 
51. 


Upper transit at fictitious meridian. 

1 
















Side- 










1 
Sidereal Day, 


Mean Day. 


i 


V 






A ©<> 


real 
Day. 


A Q« 


A Q (5 


A a a 


A ^l 


1870. 


Var. in 

10 y. 


Diff. for 
10 d. 


1870. 


Var. iu 
10 y. 


Diff. for 
10 d. 




1865. 


i 

1873. 



















300 


4-0.629 
0.550 


4-8.43 

8.71 


—0.902—6.22 | 


| 
















852 


6 78 ! 






s 






a 






200 


465 


8.91 


0.796 


7 28 1 


1 0,Jan. 


03 


— 1.311 





+ 75 


— 0.67 





—340 


300 


0.376 


9.03 


0.733 


7.71 1 


10 


10.00 


1.217 





112 


2.07 





140 


400 


0.284 


9.07 


, 0.664 


8.09 ! 


20 


19.97 


1.087 





346 


3.46 





335 






i 


•30 


29.94 


0.925 


— 3 


379 


4.75 





322 




1866. 


1874. 


Feb. 9 


8.92 


0.731 


3 


207 


5.89 





306 





4-0.315 4-9 07 


—0 688—7.96 


19 


38.89 


0.513 


2 


229 


6.85 





83 


100 


0.221 


9.06 


615 


8 30 


Mar. 1 
11 


0.86 
30.84 


0.274 

—0.016 


2 
2 


249 ' 
267 


7.53 
7.93 






55 
— 24 


200 

300 


0.125 
4-0.028 


8 97 
8.80 


538 
0.456 


8.55 
8.74 


21 


20.81 


+0 258 


2 


280 


8.00 


+ 1 


+ a 


400 


—0.070 


8.56 


370 


8 86 


31 


30.78 


0.542 


3 


288 


7.77 


1 


41 




1867. 


1875. 


100, Apr. 10 


9.75 


0.833 


3 


293 


7.18 


1 


73 





—0.037 


+8 65 


—0.400 


—8 83 


20 


19 73 


1.126 


3 


294 


6.31 


1 


102 


100 


0.134 


8 36 


! 312 


889 


: 30 


29 70 


3.419 


2 


290 


5.15 


1 


127 


200 


0.230 


7.99 


0.222 


8.89 


May 10 


9.67 


3.705 


2 


280 


3.78 


1 


147 


300 


324 


7 56 


0.131 


8 81 


20 


1964 


3.977 


2 


265 


2.22 


1 


362 


400 


0.416 


7.06 


0.038! 8.65 


30 


29.62 


2.233 


2 


244 


— 0.55 


1 


372 




1868 B. 


1876 B. 


June 9 


8.59 


2.464 


3 


217 


4- 3.20 


1 


376 








19 


18.56 


2.665 


3 


385 


2.95 


2 


375 





—0.385 4-7 23 


1-0 0691-8.71 


29 


28.54 


2.833 


~ 3 


148 


4.68 


2 


370 


100 


473 


6.69 


4-0.024 


8 51 


July 9 


8.51 


2.961 





308 


6.33 


2 


359 


200 
300 


0.558 
0.637 


6.09 
5.44 


116 

0.208 


8.24 
7.91 


200, 39 


38 48 


3.049 





66 


7.84 


3 


145 


400 


0.710 4.74 


0.298 


7.50 


29 


28.45 


3.093 





4- 22 


9.22 


3 


329 






i 


Aug. 8 


7.43 


3.093 


4- i 


— 22 


10.42 


3 


312 




1869. 


1877. 


18 
*8 


17.40 
27.37 


3.050 
2.970 


3 
3 


62 

98 


11.45 
32.27 


3 
3 


93 
72 



100 


—0 68614-4.98 
0.756 4.26 


4-0.268 
0.357 


—7.64 
7.20 


















200 


0.818 


3 50 


| 0.443 


6 69 


Sept. 7 


6.34 


2.856 


2 


129 


12.89 


3 


52 


300 


0.874 


2.71 


! 525 


6.13 


17 


36.32 


2.714 


2 


152 


13.31 


3 


32 


400 


0.921 


3.90 


! 0.604 5.52 


27 


26.29 


2.555 


2 


167 


13.52 


3 


+ 12 








Oct, 7 


6.26 


2.384 


2 


172 


13 53 


4 


— 8 




1870. 


1878. 


17 


36.24 


2.234 


3 


367 


33.35 


4 


28 





— 906J4-2.17 


4-0.578—5.73 i 


300, 27 


26.23 


2.052 


3 


354 


12.98 


4 


48 


300 


948 1.35 


0-653 


5 08 1 


Nov. 6 


5.18 


3.908 


2 


133 


12.40 


5 


67 


200 


0.983 ! 4-0.52 


i 0.723 


4.40 


16 


35.15 


1.789 


2 


304 


11 64 


5 


84 


300 


1.008:— 3J 


i 0.787 


3 67 1 


26 


25.13 


1.703 


2 


68 


10.72 


4 


302 


400 1.025| 3.14 


! 0.844 


2.91 ! 


Dec. 6 


5.10 


3.654 


1 


— 30 


9.61 


4 


317 




1871. 


I 

! 1879. 


16 
26 
36 


15.07 
25.04 
35.02 


1.644 

3.674 

+1.745 


3 



+ 10 

51 

4- 89 


8.39 

7.06 

+ 5.66 


4 
4 

+ 4 


328 

337 

—341 



100 
200 


— 1.020 j—0. 86 
1.031 1.68 
1.034 2.48 


4-0 825 
! 0.879 
! 0.925 


-3.17 

2 39 ; 
1.59 ! 






1 










300 


1.027 3.26 


' 0.963—0.78 














400 


1.012; 4.01 
1872 B. 


1 0.993!-}-0.04 
| 

J 880 B. 




* 


6 0, 




Jan. 8.1. 








; 




* 


d Mean { 


Sun, 


Jan. 9.9. 




0—1.01 -3.76 
100| 0.9971 4.49 
200 968! 5.18 
300 0.931 5.82 
400 ! — 0.8861— 6.41 


4-0. 984 1—0.24 
i 1.00914-0.59 j 
i 1.026 1.41 | 
! 1 033 2.23 j 
4- 3. 033! 4-3. 02 i 



SPECIAL TABLES. 



213 







TABLE XXIV.- 


-k Aquilse. 








h m 
R.A. 19 2-9.9. 


o / 

Dec. — 7 19. 


Upper transit at fictitious meridian. 






A « 






A (5 


Side- 
teal 
Day. 


A Q a 


A a<> 


A Q a 


A a 6 


Sidereal Day. 


Mean Day. 




















1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1S70. 


Var. in 

10 y. 


Diff foi- 
10 d. 




1865. 

s " 


1873. 
s " 




















100 


+0.642 
0.554 


+8.49 

8.73 


—0.948—6.41 


















0.892 


6.94 






s 






// 






200 


0461 


8.90 


0.828 


7.41 


0, Jan. 


0.03 


—1.308 


+ 1 


+ 73 


— 1.44 





— 78 


300 


0.364 


8.99 


0.757 


7.82 


10 


10.01 


1.216 





110 


2.22 





77 


400 


0.264 


9.00 


0.681 


8.16 


20 


19.98 


1.088 





144 


2.97 





71 








30 


29.95 


0.928 


— 1 


175 


3.64 





62 




1866. 


1874. 


Feb. 9 


8.93 


0.739 


1 


202 


4.21 





50 





+0.298 


+9.01 


—0.707 


—8.05 


19 
Mar. 1 


18.90 
0.87 


0.524 

0.285 


1 

2 


227 
249 


4.63 

4.87 






33 
— 13 


100 

200 


0.196 

+0.092 


8.97 

8.85 


0.627 
0.542 


8.35 

8.58 


11 


10.84 


—0.027 


2 


266 


4.88 





+ 10 
33 


3(H) 


—0.012 


8.65 


0.432 


8.73 


21 


20.82 


+0.247 


3 


280 


4.67 





400 


0.117 


8.38 


0.359 


8.82 


31 


30.79 


0.533 


3 


291 


4.22 





56 




1867. 


1875. 


100, Apr 10 


9.76 


0.827 


3 


298 


3.55 





77 





—0.081 


+8.49 


—0.3911—8.79 


20 


19.73 


1.128 


3 


301 


2.68 


+ 1 


96 


100 


0.185 


8.16 


0.296 8.83 


30 


29.71 


1.427 


3 


298 


1.63 


1 


112 


200 


0.288 


7.77 


0.199 8.79 


May 10 


9.68 


1.723 


3 


291 


— 0.44 


1 


124 


300 


0.387 


7.31 


0.100 8.69 


20 


19.05 


2.007 


3 


278 


+ 0.84 


1 


131 


400 


0.484 


6.79 


0.000| 8.50 


30 


29.63 


2.277 


2 


259 


2.17 


2 


134 




1868 B. 


1876 B. 


June 9 


8.60 


2.523 


2 


233 


3.51 


2 


132 








19 


18.57 


2.741 


2 


203 


4.81 


2 


126 





—0.452+6.97 


—0.0341—8.57 


29 


28.54 


2.927 


1 


166 


6.02 


3 


117 


100 


0.545 


6.4] 


+0.066 


8.35 


July 9 


'8.52 


3.072 


1 


125 


7.14 


3 


105 


200 
300 


0.633 
0.716 


5.79 
5.12 


0.166 
0.264 


8 05 
7.69 


200, 19 


18.49 


3.176 


— 1 


83 


8.12 


3 


91 


400 


0.793 


4.41 


0.359 


7.26 


29 


28.46 


3.237 





+ 39 


8.96 


3 


77 




1809. 




Aug. 8 


7.43 


3.253 


+ 1 


— 6 


9.65 


3 


62 




1S77. 


18 


17.41 


3 225 


1 


48 


10.19 


4 


46 





—0.768 


+4.65 


+0.327 


—7.41 


28 


27.38 


3.158 


2 


86 


10.57 


4 


31 


100 
200 


0.839 
0.904 


3.92 
3.15 


0.421 
0.512 


6.94 
6.4! 


Sept. 7 


6.35 


3.054 


2 


120 


10.80 


4 


17 


300 


0.960 


2.36 


0.599 5.84 


17 


16.32 


2.920 


2 


144 


10.92 


4 


+ 5 


400 


1.008 


1.55 


0.681 5.21 


27 


26.30 


2.768 


2 


161 


10.92 


4 


— 6 








Oct. 7 


6.27 


2.601 


3 


169 


10.80 


4 


17 




1870. 


1878. 


17 


16.24 


2.433 


3 


165 


10.58 


4 


27 





—0.9921+1.83 


+0.654—5.42 


300, 27 


26.22 


2 273 


3 


153 


10.27 


4 


36 


100 


1.035 


1.01 


0.732[ 4.77 


Nov. 6 


5.19 


2.129 


3 


133 


9:87 


4 


45 


200 


1.068 


+0.18 


0.804 


4.07 


16 


15.16 


2.009 


2 


104 


9.38 


4 


53 


300 


1.091 


—0.64 


0.870 


3.33 


26 


25.13 


1.922 


2 


70 


8.82 


4 


60 


400 


1.106 


1.46 


0.929 


2.57 


Dec. 6 


5.11 


1.870 


2 


— 32 


8.18 


4 


67 




1871. 


1879. 


16 

26 
36 


15.08 
25.05 
35.02 


1.858 

1.886 

+1.953 


1 

+ 1 



+ 8 

48 

+ 86 


7.47 

6.72 

+ 5.95 


4 

4 


73 

76 

— 77 



100 
200 
300 


— 1.J02 
1.110 
1.109 

1.098 


-1.19 
1.99 

2.78 
3 55 


+0.910—2.83 
0.964! 2.05 
1.010 1.25 
].'048 0.44 












400 


L078 


4.28 


L077+0]38 














1872 B. 


1SSO B. 


! 


* 


6 0, 


Jan. 10.6. 












* 


d Mean Sun, 


Jan. 12.7. 







—1.086—4.03 


+ 1.068+0.10 


( 










100 


1.060 ! 4.74 


1.091 


0.92 


I 










200 


.1.025 5.41 1 


1.105 


1.73 












300 


0.98L 6.03 


1.110 


2.53 












400 


—0.930—6.59 


+1.105+3.32 



214 



SPECIAL TABLES. 





TABLE XXIV.-* 


e Draconis. 






h m 
E.A. 19 48.6. 


o / 

Dec. + 69 56. 




Upper transit at fictitious meridian. 






A Q a 




A Q J 


Side- 
real 


A Q a 


A Q (5 


A Q a 


A oQ ( > 


Sidereal Day. 


MeanDay. 








Day. 
































1870. 


Var. in 

lOy. 


Diff. for 
10 d. 


1870. 


Var. in 

10 y. 


Diff. foi- 
10 d. 




1865. 

8 " 


1873. 

s " 



















100 


+ 0.587+8.54 


—0.320 
0.382 


—6.69 
7.17 


















0.632 


8.73 






B 






a 






200 


0.671 


8.84 


0.441 


7.59 


0,Jan. 


0.05 


-3 729 


— 4 


—193 


+ 5.96 





—323 


300 


0.705 


8.87 


0.496 


7.95 


10 


10.02 


3.864 


5 


— 77 


+ 2.64 





341 


400 


0.733 


8.83 


0.547 


8.24 


20 


19.99 


3.882 


5 


+ 43 


— 0.81 





346 








30 


29.97 


3.780 


5 


161 


4.25 





339 




1866. 


1874. 


Feb. 9 


8.94 


3.562 


5 


275 


7.55 





319 





+0 724 


+8.85 


-0.530 


—8.15 


19 

Mar. 1 


18.91 

0.83 


3.234 

2.807 


5 
4 


380 
473 


10.59 
13.24 






287 
243 


100 
200 


0.747 
0.764 


8.75 
8.58 


0.578 
0.621 


8 39 

8.57 


11 


10.86 


2.293 


4 


550 


15.43 





190 


300 


0.775 


8.34 


0.659 


8.67 


21 


20.83 


1.712 


3 


610 


17.03 





131 


400 


0.77b 


8.02 


0.691 


8 70 


31 


30.80 


1.079 


2 


651 


18.02 





67 




1867. 


1875. 


100, Apr. 10 


9.78 


-0.416 


— 1 


671 


18.36 





— 2 





+0.778 


+8.13 


—0.681—8.70 


20 


19.75 


+0.256 





670 


18.05 





+ 63 


100 


0.776 


7.77 


0.710; 8.68 


30 


29.72 


0.918 





649 


17.11 





125 


200 


0.769 


7.33 


0.732 8.59 


May 10 


9.69 


1.549 


+ 1 


610 


15.57 





182 


300 


0.754 


6.84 


0.749) 8.44 


20 


19.67 


2.131 


2 


552 


13.50 





232 


400 


0.733 


6.28 


0.760 8.21 


30 


29.64 


2.647 


2 


479 


10.98 





274 




1868 B. 


1876 B. 


June 9 


8.01 


3.084 


2 


392 


8.04 





309 








19 


18.58 


3.429 


3 


296 


4.82 





334 





+0.741 


+6.47 


—0.757 


—8.29 


29 


28.56 


3.673 


3 


192 


— 1.39 





350 


100 


0.716 


5.88 


0.763 


8.02 


July 9 


8.53 


3.810 


3 


+ 83 


+ 2.16 





357 


200 
300 


0.684 
0.647 


5.24 
4.55 


0.763 
0.757 


7.68 
7.28 


200, 19 


18.50 


3.837 


2 


— 28 


5.73 





356 


400 


0.604 


3.81 


0.744 


6.82 


29 


28.48 


3.754 


2 


138 


9.25 





346 








Aug. 8 


7.45 


3.564 


2 


243 


12.63 





329 




1869. 


1877. 


18 


17.42 


3.271 


+ I 


342 


15.81 





305 





+0.619 


+4.07 


-0.749 


—6 98 


28 


27.39 


2.883 





431 


18.71 





274 


100 
200 


0.572 
0.521 


3.33 

2.55 


0.733 

0.710 


6.48 
5.92 


Sept. 7 


6.36 


2.412 





509 


21.28 





238 


300 


0.404 


1.76 


0.682 


5.32 


17 


16.34 


1.870 


— 1 


573 


23.45 





196 


400 


0.406 


0.95 


0.648 


4.67 


27 


26.31 


1.271 


2 


622 


25.18 





149 








Oct. 7 


6.28 


+0.6K2 


3 


653 


26.42 





99 




1870. 


1878. 


17 


16.26 


—0.030 


4 


667 


27.15 





+ 45 



























+0.427 


+1.22 


—0.663—4.89 


300, 27 


26.23 


0.696 


5 


662 


27.32 





— 11 


100 


0.365 


+0.41 


0.622 


4.22 


Nov. 6 


5.20 


1.347 


5 


638 


26.93 





67 


200 


0.300 


-0.40 


0.579 


3.50 


16 


15.17 


1.965 


6 


595 


25.98 





123 


300 


0.233 


1.21 


0.531 


2.76 


26 


25.15 


2.532 


7 


538 


24.48 





177 


400 


0.164 


2.01 


0.479 


1.99 


Dec. 6 


5.12 


3.029 


8 


458 


22.45 





227 




1871. 


1879. 


16 
26 
36 


15.09 
25.06 
35.04 


3.442 

3.753 
—3.965 


8 

9 

— 9 


366 

263 

—150 


19.96 
17 07 

+ 13.88 







270 

306 

—331 



100 
200 


+0.187 
0.117 

+0.046 


— 1.74 
2 52 
3.29 


-0.497 
0.442 
0.383 


—2.25 
1.47 

—0.68 
















300 

400 


—0.025 
0.095 


4.02 
4.71 


0.320+0.13 
0.255| 0.93 
















1872 B. 


1S80B. 




-X- 6 0, Jan. 14 9. 












>fc 6 Mean Sun, Jan. 17.4. 







—0.072 


—4.48 


—0277 


+0.66 




>j< 8 Mean Sun, July 19.0. 




100 

200 


0.142 

0.210 


5.15 
5.77 


0.211 
0.142 


1.47 
2.26 








300 


0.277 


6.34 


—0.07 J 


3.03 


- 






400 


—0.341 


—6.86 


0.000+3.78 



SPECIAL TABLES. 



215 







TABLE XXIV.— *AUrsaeMinoris.t 








h m 

R.A. 19 54.3. 


/ 

Dec. + 88 55. 








Upper transit at fictitious meridian. 








A a 




A <> 


Side- 
real 


A Cl a 


A Q< 5 


A Q a 


A Q< 5 


Sidereal Day. 


Mean Day. 








Day. 
































1S70. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 

10y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

8 " 



















100 


+ 1.11+8.54 


+10.41 
8.26 


—6.73 
7.20 


















3.45 


8.70 






8 






// 






200 


5.76 


8.78 


6.05 


7.61 


0,Jan. 


0.06 


— 67.68 


—277 


—578 


+ 7.25 


— 82 


—293 


300 


8.03 


8.79 


3.80 


7.96 


10 


10.03 


72.38 


243 


360 


4.21 


88 


315 


400 


10.24 


8.72 


1.52 


8.24 


20 


20.00 


74.84 


201 


—130 


+ 0.99 


91 


326 








30 


29.98 


74.97 


152 


+102 


— 2.27 


92 


324 




1866. 


1874. 


Feb. 9 


8.95 


72.81 


98 


327 


5.45 


89 


310 



























+ 9.50 


+8.75 


+ 2.29 


—8.15 


19 


18.92 


68.48 


— 44 


536 


8.43 


84 


284 


100 


11.66 


8.63 


0.00 


8.39 


Mar. 1 


0.89 


62.17 


+ 11 


720 


11.10 


76 


247 


200 


13.71 


8.44 


— 2.28 


8.56 


11 


10.87 


54.18 


65 


872 


13.34 


67 


200 


300 


15.66 


8 17 


4.55 


8.66 


21 


20.84 


44.85 


115 


988 


15.08 


55 


147 


400 


17.47 


7.84 


6.77 8.69 


3J 


30.81 


34.56 


158 


1063 


16.26 


43 


88 




1867. 


1875. 


100, Apr. 10 


9.78 


23.73 


194 


1096 


16.84 


30 


— 27 





+16.87 


+7.96 


— 6.02 


—8 69 


20 


19.76 


12 77 


221 


1088 


16.80 


lo 


+ 34 


100 


18.59 


7.58 


8.21 


8.68 


30 


29.73 


— 2.10 


238 


1041 


16.17 


— 3 


93 


200 


20.15 


7.13 


10.33 


8.59 


May 10 


9.70 


+ 7.93 


244 


958 


14.96 


+ 9 


148 


300 


21.53 


6.63 


12.37 


8.44 


20 


19.68 


16.96 


240 


843 


13.23 


20 


198 


400 


22.74 


6.07 


14.31 


8.21 


30 


29.65 


24.71 


226 


703 


11.03 


29 


241 




186815. 


1876 B. 


June 9 


8.62 


30.95 


202 


542 


8.44 


36 


276 








19 


18.59 


35.50 


169 


366 


5.53 


42 


304 





+22.35 


+6.26 


—13.67 


—8.30 


29 


28.56 


38 24 


127 


+180 


— 2.39 


45 


323 


100 


23.43 


5.67 


15.54 


8.03 


July 9 


8.54 


39.08 


79 


— 11 


+ 0.91 


46 


335 


j 200 
300 


24.30 
24.97 


5.02 
4.34 


17.28 
18.89 


7.70 
7.31 


1 200, 19 


18.51 


38.02 


+ 25 


202 


4.27 


44 


338 


400 


25.43 


3.61 


20.35 


6.85 


29 


28.48 


35.06 


— 34 


388 


7.63 


40 


333 








' Aug. 8 


7.46 


30.28 


*J5 


567 


10.91 


34 


321 




1869. 


1877. 


18 


17.43 


23.76 


159 


734 


14.04 


26 


3u2 





+25.30 


+3.86 
3.12 


—19.87 


—7.01 


28 

i 


27.40 


15.64 


223 


887 


16.95 


16 


278 


100 


25.62 


21.23 


6.52 


i 

Sept. 7 


6.37 


+ 6.08 


287 


1022 


19.57 


+ 4 


247 


; 200 
! 300 


25.71 
25.59 


2.35 
1.57 


22. 4 J 
23.42 


5.98 
5.38 


17 


16.35 


— 4.73 


348 


1138 


21.87 


— 9 


210 


i 400 


25.26 


0.77 


. 24.25 


4.7. r » 


27 


26.32 


16.59 


407 


1230 


23.77 


24 


169 








Oct. 7 


6.29 


29.25 


459 


1297 


25.23 


39 


123 




1876. 


1878. 


17 


16.26 


42.44 


507 


1337 


26.21 


55 


73 



























+25.40 


+1.04 


—23.99 


—4.97 


300, 27 


26.24 


55.88 


547 


1346 


26.69 


72 


+ 21 


i 100 


24.92 


+0.24 


24.69 


4.30 


Nov. 


5.21 


69.24 


579 


1322 


26.63 


88 


— 33 


200 


24.24 


— 0u r >7 


25.20 


3.60 


16 


15.18 


82.21 


602 


1265 


26.03 


104 


'88 


300 


23.36 


1.36 


25.50 


2.87 


26 


25.16 


94.43 


615 


1173 


24.88 


119 


141 


400 


22.28 


2.14 


25.60 


2.11 


Dec. 6 

1 


5.13 


105.56 


618 


1048 


23.21 


132 


192 




1871. 


1879. 


16 
26 

; 36 

1 


15.10 
25.07 
35.05 


115.28 

123.27 

—129.28 


609 

591 

—562 


890 

704 

—495 


21.07 

18.51 

+15.62 


144 

154 

—162 


236 

274 

—303 



100 
200 
300 


+22.67 
21.47 
20.10 
18.56 


—1.88 
2.05 
3.39 
4.11 


—25.59 
25.55 
25.31 

24.86 


—2.37 
1.59 

0.80 
—0.01 
+0.80 


! 
1 








400 


16.88 


4^9 


24^1 












J 872 IS. 


1S80B. 




* c 


5 0, Jan. 16.3. 












* c 


5 Mean Sun, Jan. 18.9. 







+17.47 


—4. 56 


—24.45 +0.53 




* £ 


> Mean Sun, July 20.5. 




100 


15.69 


5.22 


23.66 


1.32 


J 








200 


13.79 


5.83 


22.68 


2.12 


tSe 


e pages 248 


, 250, 251-253 for additional correctio 


as. 


300 


11.79 


6.39 


21.51 


2.89 


! 








400 


+ 9.69 


—6.90 


—20.16 


+3.64 



216 



SPECIAL TABLES. 









TABLE XXIV.- 


-r Aquilje. 






h m 
R.A. 19 57.8. 




/ 

DeC. + 6 55. 


Upper transit at fictitious meridian. 






A G a 






A c5 


Side- . 
real &Qa 


A tf 


A Q a 


^ 


Sidereal Day. 














Day. 








Mean Day. 














| 








1870. 


Var. in 

10 y. 


Diff. for 
10 d. 


187©. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1865. 

s " 


1873. 

s " 


















0+0.635 


+8.54 

8.70 


—0.891 
0.845 


—6.82 

7.28 


















100 


0.558 






s 






// 






200 


0.477 


8.78 


0.792 


7.67 


0, Jan. 


0.05 


—1.257 


+ 1 


+ 36 


— 0.01 


+ } 


—149 


30U 


0.391 


8 79 


0.732 


8.00 


10 


10.03 


1.203 





71 


1.52 




152 


400 


0.302 


8.72 


0.667 


8.26 


20 


20. CO 


1.115 





106 


3.03 




148 








30 


29.97 


0.992 


- 1 


138 


4.46 




136 




1866. 


1874. 


Feb. 9 


8.94 


0.839 


1 


168 


5.74 




119 



























+0.332 


+8.75 


—0.690 


—8.18 


19 


18.92 


0.656 


2 


197 


6.82 




96 


100 


0.241 


8.63 


0.620 


8.39 


Mar. 1 


0.89 


0.446 


2 


221 


7.64 




68 


200 


0.148 


8.44 


0.546 


8.54 


11 


10.86 


—0.214 


2 


243 


8.17 




36 


300 


+0.054 


8.17 


0.468 


8.62 


21 


20.84 


+0.039 


2 


263 


8.35 




— 1 


400 


—0.041 


7.83 


0.385 


8.62 


31 


30.81 


0.310 


2 


278 


8.19 





+ 35 




1867. 


1875. 


100, Apr. 10 


9.78 


0.593 


3 


289 


7.65 





71 





—0.009 


+7.95 


—0.414—8.63 


20 


19.75 


0.886 


3 


296 


6.78 





103 


100 


0.104 


7.56 


0.329 


8.58 


30 


29.73 


1.184 


3 


298 


5.59 




134 


200 


0.198 


7.11 


0.242 


8.47 


May 10 


9.70 


1.480 


2 


293 


4.12 




159 


300 


0.290 


6.60 


0.154 


8.29 


20 


19.67 


1.768 


2 


282 


2.43 




178 


400 


0.380 


6.02 


0.063 


8.04 


30 


29.64 


2.042 


2 


266 


— 0.57 




192 




1868 B. 


1876 B. 


June 9 


8.62 


2.298 


2 


244 


+ 1.39 




199 








19 


18.59 


2.528 


2 


214 


3.40 




202 





—0.350 


+6.22 


—0.094 


—8.13 


29 


28.56 


2.725 


1 


180 


5.41 




199 


100 


0.437 


5.62 


—0.003 


7.83 


July 9 


8.54 


2.886 


— 1 


141 


7.36 




190 


200 
300 


0.520 
0.599 


4.96 
4.27 


+0.087 
0.177 


7.48 
7.05 


200, 19 


18.51 


3.005 





98 


9.20 


2 


178 


400 


0.672 3.53 


0.265 


6.57 


29 


28.48 


3.082 





54 


10.92 


2 


162 








Aug. 8 


7.45 


3.112 


+ 1 


+ 10 


12.44 


2 


143 




1869. 


1877. 


18 
28 


17.43 

27.40 


3.101 
3.046 


1 
1 


— 33 
73 


13.78 
14.89 


2 
2 


122 
100 



100 
200 


—0.648 
0.718 
0.781 


+3.78 
3.03 

2.26 


+0.236 
0.323 

0.408 


-6.74 
6.22 
5.65 


Sept. 7 


6.37 


2.956 


1 


108 


15.77 


2 


77 


300 


0.837 


1.46 


0.489 


5.03 


17 


16.34 


2.833 


1 


136 


16.43 


3 


54 


400 


0.885 


0.65 


0.567 


4.37 


27 


26.32 


2.687 


2 


155 


16.85 


3 


31 








Oct. 7 


6.29 


2.525 


2 


167 


17.04 


3 


+ 8 




1870. 


1878. 


17 


16.26 


2.356 


2 


168 


17.00 


4 


— 16 



























—0.870 


+0.93 


+0.541;- 4.60 


300, 27 


26.23 


2.191 


2 


161 


16.73 


4 


39 


100 


0.913 


+0.12 


0.615 3.91 


Nov. 6 


5.21 


2.036 


3 


146 


16.22 


4 


62 


200 


0.949 


—0.69 


0.6851 3.20 


16 


15.18 


1.901 


3 


124 


15.50 


5 


82 


306 


0.976 


1.49 


0.749 2.45 


26 


25.15 


1.791 


2 


95 


14.58 


5 


102 


400 


995 


2.27 


0.808| 1.68 


Dec. 6 


5.13 


1.713 


2 


61 


13.47 


5 


120 




1871. 


1879. 


16 

26 
36 


15.10 
25.07 
35.04 


1.669 

1.663 

+1.693 


2 
1 

4- i 


— 25 

+ is 

+ 48 


12.18 

10.76 
+ 9.30 


5 

5 

+ 5 


135 
144 

—150 



100 
200 


—0.989 
1.003 
1.007 


—2.01 

2.78 
3.53 


+0.789 

0.842 
0.889 


—1.94 

1.16 

—0.37 


















300 


i.oorj 


4.24 


0.929+0.43 
0.96J 1 1.23 
















400 


0.991 


4.91 


















1872 B. 


18SOB. 




* < 


1 0, 




Jan. 17 


.1. 












* ( 


1 Mean S 


un, 


Jan. 19 


.7. 





100 
200 
300 

400 


—0.996—4.69 
0.978J 5.34 
0.952 5.94 

0.9] 8, 1 6.49 
- 0.877—6.98 


+0.95M+0.96 
0.978 1.75 
0.996 2.53 
1.000 3.29 

+1.008+4.02 



SPECIAL TABLES. 



217 



i 


TABLE XXIV.- 


-*• k Cephei. 






h m 
R.A. 20 13.2. 


o / 

Dec. + 77 19. 




Upper transit at fictitious meridian. 






A Q a 




A c5 


Side-I 

real | A Q a 


^ 


A Q a \ A oQ d 


Sidereal Day. 


MeanDay. 








Day.| 




























1870. 


Var.in 
10 y. 


Diff. for 
10 d. 


1870. 


Var.in 
10 y. 


Diff. foi- 
10 d. 




1865. 

8 " 


1873. 

8 " 


i 

















100 


+0.831 
0.959 


+8.52 
8.63 


—0.166]— 7.01 
0.313 7.42 


J 




















s 






a 






200 


1.080 


8.66 


0.457 7.76 


0,Jan. 


0.06 


—5.587 


—17 


—465 


+ 8.34 


— 2 


-298 


300 


1.191 


8.62 


0.5971 8.05 


10 


10.04 


5.965 


17 


289 


5.22 


2 


324 


400 


1.292 


8.51 


0.732| 8.26 


20 


20.01 


6.161 


16 


—102 


+ 1.90 


2 


338 








30 


29.98 


6.167 


15 


+ 89 


— 1.49 


3 


339 




1866. 


1874. 


Feb. 9 


8.96 


5.984 


14 


276 


4.84 


3 


327 



























+1.260 


+8.55 


—0.686 


—8.20 


19 


18.93 


5.618 


12 


454 


8.00 


2 


303 


100 


1.353 


8.39 


0.818 


8.37 


Mar. 1 


0.90 


5 082 


10 


616 


10.85 


2 


266 


200 


1.435 


8.15 


0.942 


8.47 


11 


10.87 


4.394 


7 


754 


13.29 


2 


220 


300 


1.504 


7.84 


1.058 


8.50 


21 


20.85 


3.581 


4 


866 


15.22 


2 


165 


400 


1.560 


7.46 


1.165 


8.46 


31 


30.82 


2.672 


— 2 


948 


16.58 


1 


105 




1867. 


1875. 


100, Apr. 10 


9.79 


1.697 


+ 1 


996 


17.31 


1 


— 42 





+1.543 


+7.60 


—1.130—8.48 


20 


19.76 


-0.690 


3 


1011 


17.41 


— 1 


+ 23 


100 


1.590 


7.18 


1.231 


8.40 


30 


29.74 


+0.315 


5 


993 


16.86 





85 


200 


1.624 


6.69 


1.321 


8.24 


May 10 


9.71 


1.286 


7 


943 


15.71 





144 


300 


1.643 


6.15 


1.401 


8.02 


20 


19.68 


2.191 


9 


864 


13.99 


+ I 


198 


400 


.1.648 


5.56 


1.469 


7.74 


30 


29.66 


3.005 


10 


760 


11.77 


1 


245 




1868 B. 


1876 B. 


June 9 


8.63 


3.704 


10 


634 


9.12 


1 


285 








19 


18.60 


4.268 


10 


491 


611 


1 


316 





+1.648 


+5.76 


—1.447 


—7.84 


29 


28.57 


4.681 


9 


335 


— 2.83 


1 


339 


100 


1.644 


5.14 


1.507 


7.51 


July 9 


8.55 


4.935 


8 


170 


+ 0.64 


1 


353 


200 1.625 


4.47 


1.554 


7.12 


















300 


1.592 


3.76 


1.589 


6.67 


200, 19 


18.52 


5.021 


7 


+ 3 


4.20 


1 


358 


400 


1.545 


3.02 


1.611 


6.16 


29 


28.49 


4.940 


5 


—164 


7.77 


1 


355 








Aug. 8 


7.46 


4.693 


+ 2 


327 


11.28 


1 


345 




1869. 


1877. 


18 

28 


17.44 
27.41 


4.287 
3.733 



— 3 


482 
625 


14 64 

17.80 


+ 1 



327 
302 



100 
200 


+1.565 
1.507 
1.439 


+3 27 
2.51 
1.74 


—1.605 
1.618 
1.618 


—6.34 

5.80 
5.21 


Sept. 7 


6 38 


3.043 


6 


752 


20.67 





271 


300 


1.358 


0.95 


1.605 


4.57 


I 17 


16.36 


2.235 


9 


861 


23.19 





234 


400 


1.265 


0.15 


1.578 


3.90 


! 27 


26,33 


1.327 


12 


950 


25.33 


— 1 


191 








I Oct. 7 


6.30 


+0.343 


16 


1016 


27.01 


1 


144 




1870. 


1878. 


17 


16.27 


-0.696 


19 


1056 


28.19 


2 


93 








i 



















+1.298 


+0.42 


—1.588 


-4.13 


1 300, 27 


26.25 


1.760 


22 


1069 


28.85 


2 


+ 38 


100 


1.198 


—0.38 


1.553 


3.44 


i Nov. 6 


5.22 


2.825 


24 


1055 


28.94 


3 


— 19 


200 


1.089 


1.17 


1.504 


2.71 


16 


15.19 


3.861 


27 


1012 


28.47 


3 


76 


300 


0.970 


1.95 


1.443 


1.96 


j 26 


25.16 


4.840 


29 


941 


27.42 


3 


133 


400 


0.843 


2.71 


1.370 


1.20 


Dec. 6 


5.14 


5.733 


31 


841 


25.82 


4 


186 




1871. 


1879. 


! 16 

26 

| 36 


15.11 

25.08 
35.06 


6.513 

7.157 

-7.643 


32 

33 

—33 


716 

568 
—401 


23.71 
21.15 

+18.21 


4 

4 

— 5 


235 

277 
—309 


100 

200 


+0.8871—2.45 
0.755 3.20 
0.618 3 91 


—1.396 
1.315 
1.223 


—1.46 

—0.68 
+0.10 


j 








300 


0.476 


4.59 


1.121 


0.89 


i 






400 


0.330 


5.23 


1.009 


1.67 


i 

i 








1872 B. 


1880 B. 


\ 


* 6 0, Jan. 20.7. 












* 6 Mean Sun, Jan. 23 6. 




0+0.38 


—5.02 


—1.048+1.41 


j 


>jc 8 Mean Sun, July 25.2. 




100' 232 


5.63! 


0.929 


2.18 








200+0 083 


0.19 


0.803 


2.93 


: 






300—0 067 


6.70! 


0.670 


3.67 


\ ! 






400—0.216—7.15; 

1 i 


—0.530 


+4.37 





























218 



SPECIAL TABLES. 







TABLE XXIV.- 


a Pavonis. 






h 
R.A. 20 


m 
15.4. 


O 1 

Dec. — 57 9. 


Upper transit at fictitious meridian. 






A Q a 






A d 


Side- 
real 


A a a 


A oQ<> 


A Q« 


A Q J 


Sidereal Day. 


Mean Day. 










Day. 
































1870. 


Var. in 
10 y. 


Diff . for 
lOd. 


1870. 


Var. in 

10 y. 


Diff. for 
10 d. 




18G5. 

8 " 


1873. 

8 " 




















100 


+0.559 
0.403 


+8.51 
8.62 


— 1.168 
1.047 


—7.03 
7.U 






















s 






a 






200 


0.244 


8.05 


0.918 


7.7 1 


0,Jan. 


0.07 


—2.266 


+ 6 


+ 18 


— 7.37 


— 5 


+216 


300 


+0.082 


8.60 


0.781 


8.05 


10 


10.04 


2.213 


4 


88 


5.13 


5 


231 


400 


-0.081 


8.48 


0.638 


8.26 


20 


20.01 


2.091 


+ 2 


155 


2.77 


5 


240 








30 


29.99 


1.905 





217 


— 0.35 


5 


243 




I860. 


1871. 


Feb. 9 


8.96 


1.658 


— 1 


276 


+ 2.07 


5 


240 





—0.026 


+8.53 


—0.6871—8.20 


19 


18.93 


1.354 


3 


328 


4.43 


5 


232 


100 


0.188 


8.36 


0.540 


8.36 


Mar. 1 


0.90 


1.003 


4 


375 


6.70 


4 


220 


200 


0.349 


8.12 


0.390 


8.45 


11 


10.87 


0.605 


5 


417 


8.82 


3 


204 


300 


0.507 


7.80 


0.236 


8.48 


21 


20.85 


—0.170 


7 


452 


10.77 


2 


184 


400 


0.661 


7.42 


0.081 


8.43 


31 


30.82 


+0.297 


8 


480 


12.50 


2 


161 




1867. 


1875. 


100, Apr. 10 


9.79 


0.788 


9 


502 


13.99 


— 1 


135 





—0.611+7.56 


—0.133 


—8.45 


20 


19.77 


1.298 


10 


516 


15.20 


+ 1 


105 


100 


0.761 


7.13 


+0.022 


8.36 


30 


29.74 


1.817 


11 


522 


16.09 


2 


74 


200 


0.904 


6.64 


0.177 


8.20 


May 10 


9.71 


2.338 


11 


517 


16.67 


3 


41 


300 


1.039 


6.10 


0.331 


7.97 


20 


19.69 


2.848 


11 


503 


16.91 


4 


+ 6 


400 


1.165 


5.50 


0.482 


7.68 


30 


29.66 


3.340 


10 


478 


16.79 


5 


— 29 




1868 B. 


1876 B. 


June 9 


8.63 


3.800 


10 


442 


16.33 


6 


63 








19 


18.60 


4.220 


9 


396 


15.52 


6 


96 





—1.123 


+5.71 


+0.432 


—7.78 


29 


28.57 


4.588 


8 


338 


14.41 


7 


127 


100 


1.242 


5.08 


0.580 


7.45 


July 9 


8.55 


4.894 


7 


272 


12.98 


8 


154 


200 


1.350 


4.40 


0.723 


7.05 
















300 


1.446 


3.69 


0.861 


6.59 


200, 19 


18.52 


5.130 


7 


200 


11.33 


9 


175 


400 


1.530 


2.95 


0.992 


6.08 


29 


28.49 


5.292 


6 


123 


9.49 


9 


191 








Aug. 8 


7.47 


5.375 


5 


+ 43 


7.52 


10 


200 




1869. 


1877. 


18 


17.44 


5.379 


3 


— 36 


5.51 


9 


202 





—1.503+3.20 


+0.949 


—6.25 


28 


27.41 


5.304 


— 2 


111 


3.51 


9 


196 


100 
200 


1.577 

1.638 


2.44 
1.67 


1.075 
1.191 


5.71 
5.11 


Sept. 7 


6.38 


5.159 





179 


+ 1.61 


9 


182 


300 


1.684' 0.88 
1.716! 0.08 


1.298 


4.48 


17 


16.36 


4.950 


+ 1 


237 


— 0.10 


8 


160 


400 


1.395 


3.80 


27 


26.33 


4.689 


2 


281 


1.56 


8 


131 








Oct. 7 


6.30 


4.393 


3 


310 


2.70 


7 


96 




1870. 


1878. 


17 


16.27 


4.074 


4 


324 


3.47 


6 


57 



























—1.707 


+0.35 


+1.364 


—4.03 


300, 27 


26.25 


3.749 


4 


320 


3.83 


5 


— 15 


100 


1.728 


—0.45 


1.453 


3.34 


Nov. 6 


5.22 


3.438 


4 


300 


3.77 


4 


+ 28 


200 


1.735 


1.24 ! 


1.530 


2.61 


16 


15.19 


3.153 


4 


266 


3.28 


3 


70 


300 


1.727 


2.0 1| 


1.595 


1.86 


26 


25.17 


2.910 


3 


218 


2.37 


o 


110 


400 


1.703 


2.77 


1.647 


1.09 


Dec. 6 


5.14 


2.721 


2 


160 


— 1.09 


2 


147 




1871. 


1879. 


16 
26 
36 


15.11 

25.08 
35.06 


2.592 

2.532 

H-2.542 


2 


95 
-25 
+ 44 


+ 0.55 

2.46 

+ 4.59 


1 

+ 1 



178 

203 

+222 



100 
200 


—1.713 
1.631 
1.634 


—2.52 
3.26 
3.97, 


+ 1.631 
1.674 
1.703 


—1.36 

—0.58 
+0.20 
















300 

400 


1.573 

1.499 


4.64 

5.28! 


1.718 
1.718 


0.99 
1.76 
























1872 B. 


1SSO B. 




* ( 


5 0, 


Jan. 21.2. 






* «„i 






* ( 


5 Mean Sun, , 


Jan. 24.2. 







—1.526—5.07; 


+1.719+1.50 












100 


1.444 5.67 


1.710 


2.27 












200 


1.350 6.23 


1.687 


3.02 












300 


1.245 6.73 


1.649 


3.75 












400 


— 1.130-7.17 


+ 1.597+4.4.) 





























SPECIAL TABLES. 



219 









TABLE XXIV.-* 


Capricorn!. 








h m 

R.A. 20 19.9. 




o / 

Dec. — 18 38. 








Upper transit at fictitious 


meridian. 








A o a 






A o<> 




Side- 
real 


A Q a 


A ^ 


A ^ a 


A ^ 




Sidereal Day. 


Mean Day. 












Day. 












1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

s 





















100 


+0.614 
0.516 


+8.49 
8.59 


—0.965 
0.901 


—7.08 
7.47 


























s 






// 






200 


0.413 


8.60 


0.827 


7.80 




0, Jan. 


0.07 


—1.269 


+ 2 


+ 30 


- 3.64 


— 1 


— 1 


300 


0.306 


8.54 


0.746 


8.06 




10 


10.04 


1.220 


1 


67 


3.62 


1 


+ 6 


400 


0.197 


8.41 


0.659 


8.25 




20 


20.01 


1.135 


+ 1 


103 


3.52 


1 


14 










30 


29.99 


1015 





136 


3.34 


2 


23 




1866. 


1874. 




Feb. 9 


8.96 


0.863 


— 1 


168 


3.06 


2 


34 





























+0.234 


+8.46 


—0.689 


—8.20 




19 
Mar. 1 


18 93 
0.91 


0.680 
0.469 


1 

2 


197 
223 


2.67 
2.14 


2 
— 1 


46 
59 


100 
200 


0.123 
+0.011 


8.28 
8.03 


0.599 
0.503 


8.34 

8.42 




11 


10.88 


—0.235 


o 


247 


1.48 





73 


300 


—0.100 


7.70 


0.404 


8.44 




21 


20.85 


+0.023 


3 


270 


— 0.68 





87 


400 


0.212 


7.31 


0.302 


8.38 




31 


30.82 


0.303 


3 


289 


+ 0.26 





100 




1867. 


1875. 




100, Apr. 10 


9.80 


0.599 


4 


303 


1.31 





110 





—0.174 -+-7.45 


—0.337 


—8.40 




20 


19.77 


0.907 


4 


314 


2.45 





118 


100 


0.284 


7.01 


0.233 


8.30 




30 


29.74 


1.225 


4 


320 


3.65 





123 


200 


0.392 


6.51 


0.127 


8.13 




May 10 


9.71 


1.545 


4 


321 


4.89 





124 


300 


0.496 


5.96 


—0.021 


7.89 




20 


19.69 


1.864 


4 


315 


6.11 


+ 1 


121 


400 


0.595 


5.36 


+0.086 


7.58 




30 


29.66 


2.172 


4 


301 


7.30 


1 


115 




1868 B. 


1876 B. 




June 9 


8.63 


2.464 


3 


281 


8.40 


2 


105 










19 


18.61 


2 732 


3 


254 


9.38 


2 


91 





—0.562 


+5.57 


+0.0501—7.69 




29 


28.58 


2.970 


2 


221 


10.21 


3 


74 


100 


0.658 


4.93 


0.157 


7.35 




July 9 


8.55 


3.172 


2 


182 


10.85 


4 


57 


200 
300 


0.748 
0.831 


4.25 
3.54 


0.262 
0.365 


6.94 
6.47 




200, 19 


18.52 


3.333 


1 


138 


11.34 


4 


40 


400 


0.908 


2.80 


0.465 


5.96 




29 


28.50 


3.448 


1 


91 


11.64 


4 


22 










Aug. 8 


7.47 


3.516 


— 1 


+ 44 


11.78 


5 


+ 5 




1869. 


1877. 




18 


17.44 


3.536 





— 3 


11.74 


5 


— 11 





—0.883 


+3.05 


+0.431—6.13 




28 


27.41 


3.510 


+ J 


47 


11.57 


5 


23 


100 
200 


0.954 
1.016 


2.29 
1.51 


0.529; 5.58 
0.623J 4.98 




Sept. 7 


6.39 


3.443 


1 


86 


11.29 


5 


32 


300 


1.069 


+0.73 
—0.07 


0.711 4.34 




17 


16.36 


3.339 


1 


120 


10.92 


5 


40 


400 


1.113 


0.794| 3.66 




27 


26.33 


3.205 


2 


145 


10.49 


4 


43 










Oct. 7 


6.30 


3.051 


2 


160 


10.06 


4 


43 




1870. 


1878. 




17 


16.28 


2.888 


3 


166 


9.63 


4 


43 





























—1.099 


+0.20 


+0.767 


-3.89 




300, 27 


26.25 


2.722 


3 


164 


9.21 


4 


39 


100 


1.137 


—0.59 


0.845 


3.20 




Nov. 6 


5.22 


2.563 


3 


150 


8.86 


4 


34 


200 


1.164 


1.37 


0.917 


2.47 




16 


15.20 


2.424 


2 


128 


8.53 


4 


29 


300 


1.182 


2.14 


0.981 


1.72 




26 


25.17 


2.309 


2 


100 


8.27 


3 


23 


400 


1.189 


2.89 


1.038 


0.95 




Dec. 6 


5.14 


2.225 


2 


68 


8.07 


3 


17 




1871. 


1879. 




16 

26 
36 


15.11 

25.09 
35.06 


2.175 
2.162 

+2.187 


1 

+ 1 



— 32 

+ 6 
+ 44 


7.93 

7.84 
+ 7.83 


3 
3 

+ 3 


11 

— 5 

+ 2 



100 
200 


—1.1881—2.64 
1.189 3.37 
1.179 4.08 


+1.020 
1.071 
1.113 


—1.21 

—0.44 
+0.34 




















300 
400 


1.160 4.74 
1.1311 5.37 


1.145 
1.169 


1.12 

1.89 


































1872 B. 


1880 B. 






* 


6 0, 


Jan. 2: 


2.3. 
















* 


6 Mean Sun, 


Jan. 2; 


j.3. 









—1.141 


—5.16 


+1.1 621+1.63 


















100 
200 
300 


1.106 
1.061 

1.008 


5.75 
6.30 
6.79, 


1.179| 2.39 
1.136 3.14 
1.183 3.86 


















400 


-0.946 —7.22 +1 . 170!+4.54 

II 



220 



SPECIAL TABLES. 









TABLE XXIV- 


1 . 

e DelpMni. 






h m 
R.A. 20 27.0. 




/ 

Dec. + 10 52. 








Upr 


>er transit at fictitious meridian. 








A a 






A Q <5 


Side- 
real 
Day. 


A Q a 


A Q<* 


A Q a 


A a<> 


Sidereal Day. 


Mean Day. 






















1870. 


Var. in 
10 y. 


Diff. foi 
10 d. 


1870. 


Var. in 

10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 



















100 


+0.649 
0.576 


+8.46 
8.53 


—0.890-7.15 


















0.846 


7.52 






s 






// 






200 


0.498 


8.53 


0.797 


7.82 


0, Jan. 


0.07 


—1.198 


+ 1 


+ 6 


+ 0.90 


+ 1 


—158 


300 


0.415 


8.45 


0.741 


8.06 


10 


10.05 


1.175 


+ 1 


40 


— 0.71 




162 


400 


0.329 


8.29 


0.679 8.23 


20 


20.02 


1.118 





74 


2.33 




161 








30 


29.99 


1.028 





107 


3.91 




152 




1866. 


1871. 


Feb. 9 


8.96 


0.905 





139 


5.35 




136 





+0.358 


+8.35 


—0.700 


—8.18 


19 

Mar. 1 

11 


18.94 
0.91 

10.88 


0.750 
0.567 
0.356 


— 1 

2 
2 


169 
197 
223 


6.61 
7.61 

8.30 




114 

85 
52 


100 
200 
300 


0.270 
0.179 

+0.087 


8.15 
7.87 
7.5o 


0.635 
0.564 

0.488 


8.31 

8.37 
8.36 


21 


20.86 


—0.121 


2 


246 


8.64 





— 15 


400 


—0.006 


7.12 


0.409 


8.28 


31 


30.83 


+0.136 


2 


267 


8.60 





+ 23 




1867. 


1875. 


100, Apr 10 


9.80 


0.412 


3 


283 


8.19 





61 





+0.026 


+7.27 


—0.436 


—8.32 


20 


19.77 


0.701 


3 


295 


7.39 





98 


100 


—0.067 


6.8a 


0.355 


8.19 


30 


29.75 


1.000 


3 


301 


6.24 





132 


200 


0.160 


6.31 


0.271 


8.00 


May 10 


9.72 


1.301 


2 


302 


4.76 





162 


300 


0.251 


5.75 


0.184 


7.74 


20 


19.69 


1.601 


2 


295 


3.02 





185 


400 


0.340 


5.13 


0.096 7.42 


30 


29.66 


1.8S9 


2 


281 


— 1.08 





203 




1868 B. 


1876 B. 


June 9 


8.64 


2.161 


2 


261 


+ 1.02 





217 








19 


18.61 


2.409 


2 


235 


3.23 





223 





—0.310+5.34 


-0.126'— 7.54 


29 


28.58 


2.629 


1 


203 


5.45 





221 


100 


0.397 


4.70 


—0.038 


7.17 


July 9 


8.56 


2.813 


— 1 


164 


7.63 


1 


215 


200 


0.480 


4.02 


+0.051 


6.75 
















300 


0.559 


3.30 


0.140 


6.28 


200, 19 


18.53 


2.956 





122 


9.74 


1 


205 


400 


0.632 


2.55 


0.227 


5.75 


29 


28.50 


3.057 





79 


11.72 


1 


190 








Aug. 8 


7.47 


3.113 


+ 1 


+ 33 


13.53 


1 


172 




1S69. 


1877. 


18 


17.45 


3.124 


1 


— 10 


15.15 


2 


151 





—0.608+2.81 


+0.197 

0.284 


—5.93 


28 


27.42 


3.093 


1 


52 


16.55 


2 


128 


100 


0.678 


2 0c 


5.36 


















200 


0.742 


1.27 


0.368 


4.76 


Sept. 7 


6.39 


3.021 


1 


90 


17.71 


2 


104 


300 


0.799 


+0.49 


0.449 


4.11 


17 


16.36 


2.915 


1 


120 


18.63 


2 


78 


400 


0.850 


—0.30 


0.526 


3.43 


27 


26.34 


2.783 


2 


143 


19.27 


2 


52 








Oct. 7 


6.31 


2.631 


2 


159 


19.66 


3 


+ 26 




1870. 


1878. 


17 


16.28 


2.467 


3 


166 


19.78 


3 


— 1 



























—0.8341-0.03 


+0.501 


-3.66 


300, 27 


26.25 


2.301 


3 


164 


19.64 


4 


27 


100 


0.879 


0.82 


0.576 


2.96 


Nov. 6 


5.23 


2.141 


3 


153 


19.25 


4 


52 


200 


0.917 


1.59 


0.646 


2.23 


16 


15.20 


1.996 


2 


135 


18.61 


4 


76 


300 


0.947 


2.35 


0.711 


1.48 


26 


25.17 


1.872 


2 


112 


17.73 


4 


100 


400 


0.968 


3.09 


0.770 


0.72 


Doc. 6 


5.15 


1.773 


2 


84 


16.62 


4 


122 




1871. 


1879. 


16 
26 
36 


15.12 

25.09 
35.06 


1.706 

1.672 

+ 1.672 


2 

2 

+ 1 


51 
— 17 

+ J7 


15.31 

13.85 

+12.29 


4 

4 

+ 4 


139 

152 

—160 



100 
200 
300 


O* OO CO if. 
05 0C 

dd d c 
1 


-2.84 
3.50 
4.25 
4.89 


+0.751 

0.806 
0.855 
0.89? 


—0.98 

—0.21 

+0.56 

1.33 
















400 


0.976 


5. 50 


0.931 


2.10 


















1872 B. 


1880 B. 




* 


6 ©, 




Jan. 2' 


1.0. 












* 


c5 Mean ^ 


sun, 


Jan. 2 


7.1. 







—0.980—5.30 


+0.918+1.84 
















100 


0.906 5.8b 


0.949 


2.59 
















200 


0.943 6.40 


0.971 


3.32 
















300 


0.913J 6.8? 


0.984 


4.03 
















400 


-0.875!— 7.28 


+0.989+4.70 



SPECIAL TABLES. 



221 





TABLE XXXV.-* Groombridge 3241. 




h m 
R.A. 20 30.5. 


o / 

Dec. + 72 5. 


Upper transit at fictitious meridian. 














Side- 


! 










A Q a 




A ©<5 




real 


A Q a A Q d 


A oQ fl 


W 


Sidereal Day. 


MeauDay. 










Day. 


| 






1870. 


Var.in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var.in 
10 y. 


Diff. for 

10 d. 




1865. 

8 " 


1873. 

s 



















100 


+0.902 
0.968 


+8.44 

8.50 


—0.505 
0.598 


—7.18 
7.54 






















s 






" 






200 


1.026 


8.48 


0.685 


7.83 


0,Jan. 


0.07 


-3.826 


-* 7 


—341 


+ 9.32 





—289 


300 


1.075 


8.39 


0.767 


8.06 


10 


J 0.05 


4.108 


8 


222 


6.28 





317 


400 


1.114 


8.23 


0.843 


8.22 


20 


20.02 


4.266 


8 


— 93 


+ 3.01 





335 








30 


29.99 


4.293 


9 


+ 39 


— 0.38 





339 




1866. 


1874. 


Feb. 9 


8.96 


4.187 


8 


171 


3.74 





331 



























+1.102 


+8.29 


—0.818 


—8.18 


39 


18.94 


3.952 


8 


297 


6.95 





310 


100 


1.135 


8.08 


0.889 


8.29 


Mar. 1 


0.91 


3.595 


8 


417 


9.89 





276 


200 


1.158 


7.79 


0.952 


8.34 


11 


10.88 


3.126 


7 


521 


12.44 





232 


300 


1.171 


7.44 


1.00? 


8.32 


21 


20.86 


2.561 


6 


606 


14.50 





179 


400 


1.174 


7.03 


1.054 


8.23 


31 


30.83 


1.919 


4 


674 


15.99 





120 




1867. 


1875. 


100, Apr. 10 


9.80 


3.220 


3 


720 


16.88 





— 57 





+1.174 


+7.17 


—1.039 


—8.27 


20 


]9.77 


—0.488 


2 


742 


17.13 





+ 7 


100 


1.171 


6.72 


1.081 


8.14 


30 


29.75 


+0.257 


— 1 


741 


16.74 





71 


200 


1 157 


6.20 


1.113 


7.94 


May 10 


9.72 


0.988 


+ 1 


718 


15.73 





131 


300 


1.132 


5.63 


1.136 


7 67 


20 


19.69 


1.686 


2 


673 


14.13 





187 


400 


1.098 


5.01 


1.150 


7.34 


30 


29.66 


2.328 


3 


608 


12.01 





236 




1868 B. 


1876 B. 


June 9 


8.64 


2.897 


3 


527 


9.43 





278 








39 


18.61 


3.377 


4 


431 


6.47 





312 





+1.111 


+5.23 


— 1.146 


-7.46 


29 


28.58 


3.754 


4 


323 


— 3.22 





338 


100 


1.071 


4 58 


1.154 


7.09 


July 9 


8.56 


4.022 


4 


208 


+ 0.25 





355 


200 
300 


1.021 
0.963 


3.89 
3.17 


1.152 
1.140 


6.66 
6.18 


200, 19 


18.53 


4.170 


4 


+ 88 


3.84 





363 


400 


0.896 


2.43 


1.119 


5.65 


29 


28.50 


4.198 


4 


— 33 


7.48 





363 








Aug. 8 


7 47 


4.105 


3 


153 


11.07 





355 




1869. 


1877. 


18 
28 


17.45 
27.42 


3.894 
3.572 


3 
2 


268 
375 


14.55 
17.83 






339 
316 




100 


+0.919 

0.848 


+2.68 
1.9* 


—1.12? 

1.100 


—5.83 
5.27 


Sept. 7 
]7 


6.39 
16.36 


3.147 
2.633 


+ 1 
— 


472 

557 


20.85 
23.54 






287 
251 


200 
300 

400 


0.769 
0.683 
0.592 


1.15 

+0.3? 
—0.41 


1.064 
1.019 

0.965 


4.66 
4.01 
3.32 


27 


26.34 


2.040 


2 


626 


25.85 





210 










Oct. 7 


6.31 


1.386 


3 


679 


27.72 





163 




1S70. 


1878. 


17 


16.28 


+0.688 


4 


714 


29.10 





112 



























+0.624 


—0.15 


—0.985 


—3.56 


300, 27 


26.25 


-0.036 


6 


730 


29.93 





58 


100 


0.529 


0.93 


0.926 


2.85 


Nov. 6 


5.23 


0.766 


7 


726 


30.25 





+ 1 


200 


0.430 


1.70 


0.859 


2.13 


36 


15.20 


1.481 


8 


701 


29.97 





— 58 


300 


0.328 


2.45 


0.785 


1 38 


26 


25.17 


2.161 


10 


656 


29.10 





115 


400 


0.223; 3.18 


0.704 


0.62 


Dec. 6 


5.15 


2.786 


11 


592 


27.67 





170 




1871. 


1879. 


16 


15.12 


3.338 


12 


509 


25.71 





221 








26 


25.09 


3.799 


13 


410 


23.27 





265 





+0.259 


— X.V1 


—0.732—0.87 


36 


35.06 


—4,154 


—14 


—298 


+20.43 





—301 


100 

200 


0.153 
+0.046 


3.65 
4.33 


0.647 
0.557 


—0.11 

+0.66 














300 


—0.062 


4.97 


0.462 


1 A'i 


' 








400 


0.168 


b'.o7 


0.'362 2* J 9 












1872 B. 


1880 B. 




*<j0, Jan. 24 9. 














;j< d Mean Sun, Jan. 28 0. 






0—0.1 :'.: ; : 


—5.37 


—0.396+1.93 


* 8 Mean Sun, July 29.6. 






100 0.238 


5.93 


0.295 


2.68 










200 0.341 


6.45 


0.190 


3.41 










300 0.441 


6.91 


—0.082 


4.10 


\ 








400—0.537 


-7.31 


+0.024 +4.77 



222 



SPECIAL TABLES. 



1 




TABLE XXIV.- 


[i Aquarii. 






h m 
R.A. 20 45.6. 




/ 

Dec. — 9 28, 






Upp 


er transit at fictitious meridian. 






A a 






A ©<> 




Side- 
real 


A tt a 


A o^ 


A oQ a 


A a d 


Sidereal Day. 


Mean Day. 












Day. 
































1870. 


Var. in 
10 y. 


Diff. for 

10 d. 


1870. 


Var. in 

10 y. 


Diff. foi- 
10 d. 




1865. 

8 " 


1873. 

s " 




















100 


+0.613 
0.523 


+8.34 
8.35 


—0.932 

0.873 


—7.29 
7.61 






















8 






" 






200 


0.428 


8.29 


0.806 


7.85 


0, Jan. 


0.09 


—1.143 


+ 2 


-f- 4 


— 2 67 





— 50 


300 


0.330 


8.15 


0.733 


8.03 


10 


10.06 


1.121 


1 


38 


3.15 





45 


400 


0.228 


7.95 


0.654 


S.15 


20 


20.03 


1.067 


+ * 


70 


3.57 





38 






I 


30 


30.01 


0.981 





102 


3.90 





27 




1860. 


1874. 1 


Feb. 9 


8.98 


0.863 





133 


4.10 





— 13 





+0.263 


+8.02 


—0.681—8.12 


19 

Mar. 1 

11 

21 


18.95 

0.92 

10.90 

20.87 


0.716 
0.540 
0.336 

—0.107 


— 1 

1 

2 
3 


162 

190 
217 
241 


4.16 
4.04 
3.71 
3.18 








+ 3 
22 
43 
64 


100 
200 
300 
400 


0.159 
+0.055 
—0.050 

0.155 


7.77 

7.45 
7.06 
6.62 


0.599 8.19 
0.5111 8.19 
0.4201 8.12 
0.325! 7.99 


31 


30.84 


+0.145 


3 


263 


2.43 





85 




1807. 


1875. 


J 100, Apr. 10 


9.81 


0.417 


3 


282 


1.47 





106 





-0.120 


+6.7? 


—0.358—8.04 


20 


19.79 


0.707 


3 


297 


— 0.31 





124 


100 


0.223 


6.29 


0.261 


7.87 


30 


29.76 


1.009 


3 


306 


+ 0.99 





138 


200 


0.325 


5.74 


o.i a 


7.63 


May 10 


9.73 


1.318 


3 


310 


2.43 





149 


300 


0.424 


5.15 


—0.063 


7.33 


20 


19.70 


1.628 


3 


309 


3.95 





154 


400 


0.520 4.52 


+0.03? 


6.96 


30 


29 68 


1.933 


3 


300 


5.50 


+ J 


155 




1868 B. 


1876 B. 


June 9 


8.65 


2.225 


3 


283 


7.04 


1 


152 








19 


18.62 


2.497 


3 


259 


8X3 


1 


144 





—0.488 


+4.74 


_{-0 004—7.09 


29 


28.60 


2.742 


2 


230 


9.90 


1 


132 


100 


0.580 


4.0? 


0.104 6.69 


July 9 


8.57 


2.955 


2 


195 


11.16 


2 


118 


200 


0.667 


3.38 


0.203 6.23 
















300 


0.74c 


2.65 


0.301| 5.73 


200, 19 


18.54 


3.130 


2 


154 


12.26 


2 


100 


400 


0.822 


1.91 


0.393, 5.17 


29 


28.51 


3.262 


1 


110 


13.16 


2 


81 








Aug. 8 


7.49 


3.349 


— 1 


64 


13.88 


3 


62 




1869. 


1877. 


18 


17.46 


3.390 





+ 18 


14.41 


3 


43 





—0.7981+2.16 


+0.364—5.36 


28 


27.43 


3.386 





— 26 


14.75 


3 


26 


100 
200 


0.867 1.40 
0.929+0.64 


0.457 
0.547 


4.77 
4.14 


Sept. 7 


6.40 


3.340 


+ 1 


64 


14.93 


4 


+ io 


300 


0.983—0.14 


0.632 


3.48 


17 


16.38 


3.259 


2 


.8 


14.95 


4 


— 5 


400 


1.028| 0.90 


0.712 


2.79 


27 


26.35 


3.146 


2 


125 


14.83 


4 


17 








Oct. 7 


6.32 


3.011 


2 


143 


14.62 


4 


27 




1870. 


1878. 


17 


16.30 


2.862 


2 


154 


14.30 


4 


36 



























—1.013 


—0.64 


+0.686—3.03 


1 300, 27 


26.27 


2.706 


2 


155 


13.91 


4 


42 


100 


1.053 


1.41 


0.762 


2.32 


i Nov. 6 


5.24 


2.555 


2 


145 


13.47 


4 


46 


200 


1.082 


2.15 


0.832 


1.59 


16 


15 21 


2.418 


2 


129 


13.00 


4 


49 


300 


1.103 


2.8fc 


0.896 


0.85 


26 


25.19 


2.298 


2 


108 


12.49 


4 


53 


400 


1.114 


3.58 


0.952 


0.10 


Dec. 6 


5.16 


2.203 


2 


80 


11.94 


4 


54 




1871. 


1870. 


16 

26 

36 


15.13 
25.10 

35.08 


2.138 

2.103 

+2.102 


2 
1 

+ 1 


50 
— 18 
-f- 16 


11.42 

10.90 
+10.38 


3 
3 

+ 3 


52 

52 

— 50 



100 
200 
300 
400 


—1.111 
1.116 
1.111 

1.097 
1.073 


—3.35 
4.03 
4.6? 
5.2? 
5.83 


+0.934 
0.986 
1.029 
1.063 

1.089 


—0.35 

+0.40 

1.16 

1.90 

2.63 


1 






























187SJ B. 


18SO B. 




* ( 


5 0, 


Jan. 28 


.5. 












i 


* ( 


3 Mean Sun, « 


Jan. 31 


.9. 







100 
200 
300 


—1.082 
1.053 
1.014 

0.968 


-5.65 
6.17 

6.64 

7.05 


+1.081 
1.101 
1.112 
1.113 


+2.39 
3.11 
3.80 
4.47 


1 














400 


—0.913 


—7.41 


+1.105+5.10 



SPECIAL TABLES. 



223 









TABLE XXIV. 


-v Cygni. 






h in 

E.A. 20 52.3. 


• / 

Dec. + 40 40. 


Upper transit at fictitious meridian. 


Sidereal Day. 


MeanDay. 


A a 


A * 


Side- 
real 
Day. 


A a a 


A Q<* 


A C^ a 


A oQ (J 


187©. 


Var. in 
10 y. 


Diff. for 
lUd. 


isro. 


Var. in 

10 y. 


Diff. foi- 
10 d. 




1865. 

8 


18*3. 

8 " 



















100 


+0.754 
0.713 


+8.28 
8.27 


—0.841 
0.832 


—7.33 

7.62 






















s 






a 






200 


0.666 


8.19 


0.815 


7.85 


0,Jan. 


0.09 


— 1.449 


+ 1 


— 77 


+ 6.83 


+ 3 


—248 


300 


0.613 


8.03 


0.792 


8.01 


10 


10.06 


1.504 





— 34 


4.23 


3 


269 


400 


0.554 


7.8J 


0.762 


8.11 


20 


20.04 


1.5J6 





+ 10 


+ 1.48 


3 


280 








30 


30.01 


1.483 





57 


— 1.34 


3 


281 




1866. 


J 874. 


Feb. 9 


8.98 


1.402 


— 1 


103 


4.10 


o 


271 



























+0.575 


+7.89 


—0.773 


—8.09 


19 


18.96 


1.277 


1 


148 


6.72 


3 


250 


100 


0.513 


7.62 


0.739 


8.13 


Mar. 1 


0.93 


1.106 


2 


193 


9.06 


3 


218 


200 


0.447 


7.28 


0.699 


8.11 


11 


10.90 


0.891 


2 


233 


1J.04 


2 


177 


300 


0,377 


6.88 


0.654 


8.03 


21 


20.87 


0.641 


3 


270 


12.57 


2 


129 


400 


0.303 


6.42 


0.603 7.88 


31 


30.85 


0.353 


3 


304 


13.60 


1 


76 




1867. 


1875. 


100, Apr. 10 


9.82 


—0.036 


3 


328 


14.07 


1 


— 19 





+0.328 


+6.58 


—0.621:— 7.94 


20 


19.79 


+0.300 


3 


345 


13.97 


+ 1 


+ 37 


100 


0.253 


6.08 1 


0.567! 7.74 


30 


29 76 


0.652 


2 


356 


13.32 





92 


200 


0.176 


5.53! 


0.508[ 7.49 


May 10 


9.74 


1.009 


2 


357 


12.13 





145 


300 


0.097 


4 931 


0.445} 7.17 


20 


19.71 


1.364 


2 


350 


10.43 


— 1 


192 


400 


0.017 


4.291 


0.378 6.79 


30 


29.68 


1.706 


1 


333 


8.30 


1 


233 




1868 1!. j 


1876 B. 


June 9 


8.65 


2.028 


1 


308 


5.79 


1 


268 




. „ 1 




19 


18.63 


2.320 


— 1 


275 


— 2.97 


1 


294 





+0.044+4.51 


—0.401 


—6.92 


29 


28.60 


2.576 





234 


+ 0.06 


1 


312 


100 


—0.036 


3.841 


0.333 


6.51 


July 9 


8.57 


2.787 





188 


3.24 


1 


323 


200 
300 


0.115 

0.193 


3.14 
2.42! 


0.261 
0.187 


6.05 
5.52 


200, 19 


18.55 


2.950 





138 


6.49 


1 


325 


400 


0.269 


1.671 


0.112 


4.96 


29 


28.52 


3.061 


+ 1 


84 


9.72 


1 


320 




1 




Aug. 8 


7.49 


3.117 


1 


+ 30 


12.86 


I 


309 




1869. 


1877. 


18 


17.46 


3.121 


2 


— 23 


15.87 


1 


291 





—0.244 


+1.92 
1.17' 


—0.138—5.15 


28 


27.44 


3.072 


2 


75 


18.66 


— 1 


267 


100 


0.318 


—0.062 


4.56 


Sept. 7 


6.41 


2.973 


2 


121 


21.20 





238 


200 
300 


0.390 
0.458 


+0.4J, 
— 0.36 ! 


+0.014 
0.091 


3.92 
3.26 


17 


16.38 


2.832 


2 


161 


23.41 





204 


400 


0.52:j 


1.12 


0.167 


2 57 


27 


26.35 


2.653 


3 


193 


25.26 


+ 1 


166 








Oct. 7 


6.33 


2.448 


3 


216 


26.72 


1 


126 




isro. 


1878. 


17 


16.30 


2.224 


3 


232 


27.77 


2 


82 



























—0.501 


—0.861 


+0.141 


-2.80 


300, 27 


26.27 


1.987 


3 


238 


28.35 


3 


+ 34 


100 


563 


1.62' 


0.217 


2. JO 


Nov. 6 


5.25 


1.750 


3 


233 


28.45 


3 


— 14 


200 


0.619 


2.35 


0.290 


1.37 


16 


15.22 


1.523 


3 


221 


28.07 


3 


62 


300 


0.669 


3 07 


0.362!— 0.63 


| 26 


25.19 


1.311 


3 


202 


27.21 


3 


109 


400 


0.714 


3.75 


0.430!+0.12 


Dec. 6 


5.16 


1.122 


3 


175 


25.90 


4 


154 












| 












1871. 


1879. 


16 
20 
36 


15.14 
25.11 

35.08 


0.964 | 2 
0.842 1 2 

+0.758 + 1 

i 


141 

104 
— 62 


24.15 

22.03 

+19.58 


4 

5 

+ 5 


195 

230 
—257 



100 
200 


—0.699 
0.740 
0.774 


—3.52, 
4.19! 

4.82 


+0.407 
0.474 
0.536 


-0.13 

+0.62 

1 36 












1 


300 


0.802 


5.40 


0.595 


2.10 












400 


0.823 


5.94 


0.648 


2.82 














1872 B. 


I88OB. 




* ( 


3 0, 


Jan. 301. 












* ( 


3 Mean Sun, 


Feb. 2.6. 







—0.816 


—5.76 


+0.631 


+2.58 












100 


0.833 


6.27 


0.681 


3 29 












200 


0.842 


6.71 


0.725 


3.97 


j 










300 


0.844 


7.11 


0.764 


4.62 


i 










400 


—0.839 


—7.44 ; 

j 


+0.795 


+5.23 



224 



SPECIAL TABLES. 





TABLE XXIV.-* 81 Cephei (B): 12 Year Cat. 1879. 








h m, 

E.A. 20 53.4. 


o / 

Dcfc. + 80 4. 






Upper transit at fictitious meridian. 








A a 




A Q <5 


Side- 
real 
Day. 


A oQ a 


A Q<5 


A Q a 


A Q<* 




Sidereal Day. 


Mean Day. 












































1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1863. 

s " 


1873. 

s " 





















100 


+1.448 
1.639 


+8.27 
8.25 


—0.432 
0.659 


-7.34 
7.63 


























S 






» 






200 


1.817 


8.17 


0.880 


7.85 




0,Jan. 


0.09 


—6.411 


—32 


—799 


+11.52 


— 3 


—257 


300 


1.979 


8.01 


1.094 


8.01 




10 


10.07 


7.109 


34 


595 


8.76 


3 


294 


400 


2.124 


7.78 


1.298 


8.10 




20 


20.04 


7.593 


34 


370 


5.69 


3 


319 










30 


30.01 


7.844 


33 


-132 


+ 2.42 


3 


332 




1866. 


1871. 




Feb. 9 


8.98 


7.855 


32 


+ 112 


— 0.91 


3 


332 





+2.077 


+7.86 


— 1 230 


—8.08 




19 
Mar. 1 


18.96 
0.93 


7.622 
7.157 


29 
25 


351 
577 


4.18 
7.25 


3 
3 


319 

294 


100 
200 


2.210 
2.323 


7.59 
7.25 


1.427 
1.612 


8.12 
8.10 




11 


10.90 


6.477 


21 


780 


10.02 


3 


257 


300 


2.417 


6.85 


1.783 


8.02 




21 


20.88 


5.606 


16 


955 


12.36 


3 


210 


400 


2.490 


6.3a 


1.939 


7.86 




31 


30.85 


4.578 


11 


1094 


14.19 


2 


156 




1867. 


1875. 




100, Apr. 10 


9.82 


3.431 


6 


1194 


15.46 


2 


96 





+2.468 +6.54 


—1.890 


-7.92 




20 


J 9.79 


2.204 


— 1 


1252 


16.11 


1 


— 34 


100 


2.520 


6.04 


2.034 


7.73 




30 


29.77 


—0.941 


+ 4 


1267 


16.14 


— 1 


+ 29 


200 


2.562 


5.49 


2.163 


7.47 




May 10 


2.74 


+0.316 


8 


1240 


15.54 





90 


300 


2.576 


4.89 


2.273 


7.15 




20 


19.71 


1.526 


12 


1J74 


14.34 





148 


400 


2.567 


4.25 


2.365 


6.77 




30 


29.68 


2.653 


15 


1073 


12.60 


+ 1 


201 




1868 B. 


1876 B. 




June 9 


8.66 


3.662 


17 


940 


10.35 


1 


247 










19 


18.63 


4.524 


18 


781 


7.68 


1 


286 





+2.573 


+4.47 


—2.336 


-6.91 




29 


28.60 


5.217 


18 


602 


4.66 


2 


318 


100 


2.550 


3.80 


2.416 


6.49 




July 9 


8.57 


5.723 


17 


407 


— 1.36 


2 


341 


20U 
300 


2.504 
2.437 


3.1U 
2.37 


2.475 
2.514 


6.02 
5.50 




200, 19 


18.55 


6.029 


16 


+204 


+ 2.14 


2 


356 


400 


2.348 


1.63 


2.533 4.94 




29 


28.52 


6.129 


13 


- 4 


5.74 


2 


363 










Aug. 8 


7.49 


6.021 


10 


211 


9.37 


2 


362 




1869. 


1877. 




18 


17.46 


5.709 


6 


412 


12.95 


1 


353 





+2.380 


+1.88 


—2.529 


—5.13 




28 


27.44 


5.201 


+ 1 


603 


16.40 


1 


337 


100 
200 


2.279 
2.157 


1.13 

+0.37 


2.534 

2.518 


4.54 
3.91 




Sept. 7 


6.41 


4.508 


— 4 


779 


19.66 


+ 1 


314 


300 


2.018 


—0.39 


2.481 


3.24 




17 


16.38 


3.649 


10 


937 


22.65 





284 


400 


1.861 


1 . IS 


2.423 


2.55 




27 


26.36 


2.642 


16 


1074 


25.32 





247 










Oct. 7 


6.33 


1.510 


22 


1186 


27.57 


— 1 


205 




1870. 


1878. 




17 


16.30 


+0.280 


28 


1270 


29.40 


1 


158 





























+ 1.916 


—0.90 


—2.445 


—2.79 




300, 27 


2^.27 


—1.019 


34 


1323 


30.72 


2 


105 


100 


1.748 


1.65 


2.374 


2.08 




i Nov. 6 


5.25 


2.355 


40 


1344 


31.49 


3 


+ 49 


200 


1.566 


2.38 


2.284 


1.35 




16 


15.22 


3.695 


45 


1330 


31.70 


4 


— 8 


300 


1.371 


3.09 


2.174 


—0.61 




26 


25.19 


5.003 


50 


1280 


31.32 


4 


68 


400 


1.165 


3.78 


2.046+0.13 




Dec. 6 


5.16 


6.243 


55 


1193 


30.35 


4 


126 




1871. 


1879. 




16 
26 
36 


15.14 
25.11 

35.08 


7.376 

8.370 

—9.191 


59 

62 

-64 


1070 

912 

—725 


28.82 

26.76 

+24.24 


5 

5 

— 5 


180 

230 
—272 



100 
200 
300 
400 


+1.235 
1.023 
0.802 
0.575 
0.343 


—3.55 
4.21 
4.84 
5.42 
5.95 


—2.091 
1.952 
1.795 
1.624 

1.438 


—0.11 

+0.63 

1.37 

2.11 

2.83 




















1872 B. 


1880B. 






* 6 0, Jan. 30.4. 














# 6 Mean Sun, Feb. 2.9. 







+0.422 
+0.189 


—5.78 


—1.502 


+2.59 






>jc 8 Mean Sun, Aug. 4.5. 




100 


6.28 


1.308 


3.29 










200 


—0.046 


6.72 


1.102 


3.97 










300 


0.279 


7.11 


0.886 


4.62 










400 


—0.509 


—7.44 


—0.662 


+5.23 





SPECIAL TABLES. 



225 









TABLE XXIV.-C1 Cygni (pr.) 








h 

E.A. 21 


m o / 
1.1. Dec. + 38 7. 




Upper transit at fictitious meridian. 










A a 




A <> 




Side- 
real 


A £l a 


<v 


A a a 


A 0* 




Sidereal Day. 


Mean Day. 












Day. 












1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s 


1873. 
8 " 





















100 


+0.759 
0.715 


+8.20 
8.16 


—0.863 
0.850 


—7.38 
7.64 


























s 






" 






200 


0.664 


8.05 


0.830 


7.84 




0,Jan. 


0.10 


—1.357 


+ 1 


— 69 


+ 6.77 


+ 3 


-226 


300 


0.608 


7.87 


0.804 


7.97 




10 


10.07 


1.406 





— 28 


4.40 


3 


247 


400 


0.546 


7.62 


0.771 


8.04 




20 


20.04 


1.411 





+ 15 


+ 1.85 


3 


260 










30 


30.02 


1.375 


— 1 


58 


— 0.77 


3. 


262 




1866. 


1874. 




Feb. 9 


8.99 


1.294 


1 


103 


3.35 


3 


252 





























+0.567 


+7.71 


—0.782 


—8.02 




19 


18.96 


1.169 


2 


147 


5.78 


3 


231 


100 


0.502 


7.42 


0.745 


8.04 




Mar. 1 


0.93 


1.001 


3 


189 


7.95 


3 


201 


200 


0.432 


7.06 


0.702 


8.00 




11 


10.91 


0.791 


3 


229 


9.78 


2 


163 


300 


0.359 


6.64 


0.653 


7.89 




21 


20.88 


0.543 


3 


266 


11.18 


2 


117 


400 


0.282 


6.16 


0.598 


7.72 




31 


30.85 


-0.261 


3 


298 


12.09 


2 


65 




1867. 


1875. 




100, Apr. 10 


9.82 


+0.052 


3 


323 


12.47 


+ 1 


— 10 





+0.308 


+6 33 


—0.617 —7.78 




20 


19.80 


0.385 


3 


343 


12.29 





+ 45 


100 


0.230 


5.81 


0.560 


7.57 




30 


29.77 


0.737 


3 


356 


11.57 





98 


200 


0.150 


5.25 


0.497 


7.29 




May 10 


9.74 


1.096 


3 


360 


10.34 





149 


300 


+0.068 


4.64 


0.431 


6.95 




20 


19.72 


1.454 


2 


354 


8.61 





197 


400 


—0.014 


3.99 


0.361 6.55 




30 


29.69 


1.802 


2 


340 


6.43 


— 1 


237 




1868 B. 


1876 B. 




June 9 


8.66 


2.132 


2 


318 


3.90 


1 


269 










19 


18.63 


2.435 


1 


287 


— 1.07 


2 


295 





+0.014 


+4.21 


—0.385 


—6.69 




29 


28.61 


2.705 


— 1 


250 


+ 1.98 


o 


313 


100 


—0.068 


3.54 


0.314 


6.26 




July 9 


8.58 


2.935 





206 


5.17 


1 


323 


200 
300 


0.149 
0.229 


2.83 
2.11 


0.239 
0.163 


5.78 
5.24 




200, 19 


18.55 


3.117 


• 


157 


8.42 


1 


327 


400 


0.307 


1.36 


0.085 


4.68 




29 


28.52 


3.250 


+ 1 


106 


11.69 


— 1 


323 










Aug. 8 


7.50 


3.329 


2 


53 


14.86 





311 




1869. 


1877. 




IS 


17.47 


3.357 


2 


+ 1 


17.90 





294 





—0.2811-1-1.61 


—0.112 


—4.86 




28 


27.44 


3.333 


3 


— 49 


20.73 





272 


100 


0.356 


0.86 


—0.033 


4.26 




Sept. 7 


6.42 


3.262 


3 


94 


23.32 


+ 1 


213 


200 
300 


0.429 
0.49.^ 


+0.10 
—0.65 


+0.046 
0.124 


3.62 

2.95 




11 


16.39 


3.148 


o 
O 


133 


25 58 


1 


210 


400 


0.562 


1.40 


0.202 


2.2fi 




27 


26.36 


2 998 


3 


166 


27.51 


1 


174 










Oct. 7 


6.33 


2.820 


4 


191 


29.06 


2 


135 




1870. 


1878. 




17 

1 , 


16.31 


2.620 


4 


206 


30.20 


2 


92 





-0.541—1.15 


+0.176'— 2.50 




300, 27 


26.28 


2.410 


4 


213 


30.89 


3 


47 


100 


0.602 


1.89 


0.252 


1.79 




Nov. 6 


5.25 


2.198 


4 


211 


31.14 


3 


+ * 


200 


0.657 


2.6i 


0.327 


1.06 




16 


15.22 


1.992 


4 


200 


30.92 


4 


— 45 


300 


0.707 


3.30 


0.400 


—0.33 




26 


25.20 


1.801 


3 


182 


30.24 


4 


92 


400 


0.751 


3.98 


0.469 


+0.41 




Dec. 6 

i 


5.17 


1.631 


o 


157 


29.09 


5 


135 




1871. 


1879. 




16 

26 
36 


15.14 
25.11 
35.09 


1.488 

1.379 

+1.307 


3 
2 

+ 2 


127 

91 
— 52 


27.55 

25.62 

+23.40 


5 
5 

+ 6 


174 

209 
—235 



100 
200 
300 

400 


—0.737 
0.776 

0.808 
0.834 
0.853 


—3.75 

4.39 
5.00 
5.56 
6.07 


+0 446 
0.513 
0.575 
0.633 
0.686 


+0.16 
0.90 
1.64 
2.36 
3.06 


















i 














1872 B. 


1880 B. 






* 


6 0, 




Feb. 1.2. 












' 


* 


c3 Mean £ 


sun, 


Feb. 4.8. 







—0.847 


—5.90 


+0.669 


+2.83 




) 












100 
200 
300 


0.861 

0.868 
0.867 


6.38 
6.80 
7.17 


0.718 
0.761 

0.798 


3.52 

4.18 
4.81 
















400 


—0.859 


—7.47 


+0.829+5.40 





15 



226 



SPECIAL TABLES. 











TABLE XXIV.- 


-CCygni. 






R.A. 21 


m 

7.4. 


/ 

Dec. + 29 42. 








U PF 


er transit at fictitious meridian. 


Sidereal Day. 


Mean Day. 


A O a 


A ©< 5 


Side- 
real 
Day. 


A oQ a 


A a< 5 


A Q a 


^ 


1870. 


Var.in 
lOy. 


Diff for 
10 d. 


1870. 


Vur. in 
10 y. 


Diff. for 
10 d. 




1865. 

K " 


1873. 

8 



















100 


+0.734 
0.679 


+8.13 
8.07 


—0.885 
0.K6V 


—7.40 
7.64 






















8 






// 






200 


0.6ld 


7.94 


0.832 


7.82 


0, Jan. 


0.10 


-1.203 


4-2 


— 59 


+ 5.42 


+ 2 


—209 


300 


0.552 


7.74 


i 0.795 


7.94 


10 


10.07 


1.244 


+ 1 


- 24 


3 23 


2 


227 


400 


0.481 7.48 


1 0.751 


7.98 


20 


20.0.) 


1.250 





+ J3 


+ 0.91 


2 


236 






1 


30 


30.02 


1.218 





51 


— 1.46 


2 


236 




1806. 


1871. 


Feb. 9 


8,99 


1.148 


— 1 


90 


3.78 


2 


226 



























+0.505 


+7.57 


;—0.767 


-7.97 


19 


18 97 


1.039 


1 


128 


5 95 


2 


206 


100 


0.431 


7.26 


| 0.719 


7.98 


Mar. 1 


0.94 


0.892 


2 


J 65 


7.87 


2 


177 


200 


0.333 


6.89 


! 0.666 


7 91 


11 


10 91 


0.709 


2 


201 


9.40 


2 


141 


300 


0.272 


6 46 


607 


7.78 


'it 


20.88 


0.490 


2 


235 


10.66 


1 


98 


400 


0.189 


5.96 


1 0.543 7.59 


31 


30.80 


-0.239 


3 


265 


11.40 


1 


51 




1867. 


| 1875. 


100, Apr. 10 


9 83 


+0.038 


3 


290 


11.66 


+ 1 


- 1 





+0.2181+6.14 


—0.566 


-7.66 


20 


19.80 


0.339 


3 


310 


11.41 





-|- 50 


100 


0.133 5.61 


1 0.499 


7 43 


30 


X9.77 


0.656 


2 


323 


10.67 





98 


200 


+0.047] 5.04 


j 0.428 


7.13 


May JO 


9.75 


0.982 


2 


328 


9.46 





143 


300 


—0.039 4.42 


! 354 


(5.78 


'20 


19.72 


J. 310 


2 


326 


7.81 





185 


400 


0.1241 3.76 


0.277 


6.37 


:*o 


29.69 


1.632 


2 


316 


5.77 


— 1 


221 




1868 II. 


1876 Bl. 


June 9 


8.07 


1.940 


2 


298 


3.41 


1 


249 








19 


18.64 


2 225 


1 


271 


- 0.81 


1 


270 





—0.0951+3.99 
0.1 80J 3.31 


1—0.303 


—6.52 


29 


28.61 


2.480 


1 


238 


+ 1.96 


1 


284 


100 


| 0.225 


6.07 


July 9 


8.58 


2.699 


— 1 


199 


4.84 


1 


29 1 


200 0.203J 2.60 


j 0.145 


5 58 


















300! 344| 1.88 


1—0.063 5.04 


200. 19 


18.56 


2 877 





155 


7.75 


1 


291 


400 


0.421J 1.14 


+0 019; 4.46 


29 


28.53 


3.009 





.108 


10.64 


1 


284 






1 


Aug. 8 


7.50 


3.09:5 





60 


13.42 


1 


272 




1860. 


1877. 


18 


17.47 


3.129 


+ 1 


+ 12 


16.07 


— 1 


254 





—0.396-1-1.39 


'-0 009j— 4.65 


-^ 


27.45 


3.117 


2 


- 35 


18.50 





231 


100 


0.471 


+0.64 


+0.074! 4.04 


















200j 0.542 


— 0. 1 1 


' 0.156 3.40 


Sept. 7 


6.42 


3.059 


2 


78 


20.68 





204 


300 0.608 


0.86 


! 0.236 2.73 


17 


16.39 


2.962 


3 


115 


22.57 


+ 


174 


400l 0.668 


1.66 


1 0.315| 2.04 


27 


26 36 


2.831 


3 


146 


24.15 


1 


141 


i 


1 


Oct. 7 


- 6 34 


2.672 


3 


169 


25.38 


1 


104 


1870. 


1878. 


17 


16.31 


2.495 


3 


183 


26.23 


2 


66 






















0—0.648 


—1.35 


+0.2891-2.27 


300, 27 


26.28 


2.308 


3 


189 


26.70 


^ 


+ 26 


100! 0.7.05 


2 08 


i 0.866 156 


Nov. 


5 26 


2.119 


3 


188 


26.75 


3 


— 14 


200' 0.755 


2 79 


; 0.440 84 


16 


15.23 


1.935 


3 


179 


26.4a 


3 


54 


300] 0.79$ 3.48 


! 0.511-0.11 


26 


25.20 


1.761 


3 


161 


25.(58 


4 


94 


400J 0.836| 4.13 


■ 0.578|+0.62 


Dec. G 


5.17 


1.614 


3 


138 


24.55 


4 


133 


1871. 


1870. 


16 
26 
36 


15.15 
25.12 
35.09 


1.489 
. 1.391 
+1.328 


3 

2 


112 

81 
— 46 


23.04 

21 25 

4-19.18 


5 

5 

+ 5 


166 

194 

—217 


0—0.824 
1001 856 
200 0.881 


—3.9 
4.54 
5 13 


'+0.556|+0.38 
0,620 l.ll 
0.67J* 1.83 


















300 


89^ 


5 (57 


0.732! 2.55 














400 


0.90»| 6A() 
1S72 B. 


0.780! 3.24 
1880 B. 




* 


6 0. 




Feb. 2.8. 












* 


<$ Mean I 


3un, 


Feb. 6.4. 






100 


_0. 9051-0. 00 
0.910 0.4-6 


+0.76r,|+3.0l 
0.808 3.68 














200 907 


6.86 


0.844 4.33 














300 0.B95 


7 21 


0.874) 4.94 


















400 


-0.878 


■ -7.491 

1 


+0.896! 


+5.51 



SPECIAL TABLES. 



227 



i 




TABLE XXIV.- 


-1 Tegasi. 


1 
1 




h 
R.A. 21 


in 
16.1. 




O ' 

Dec. + 19 15. 


Upper transit at fictitious meridian. 


Sidereal Day. 




A Q a 


A Q (J 


Side- 
rt :tl 
Diiy. 


A Po fl 


A ^ 


Aq(Z 


A Q (J 


m t'.m L)By. 


1S70. 


Var.in 
10y. 


Diff. for 
10 d. 


1S70. 


Vnr.ii) 
10 y. 


Diff for 
10 d. 




1865. 

8 " 


187:$. 

H 


1 

















100 


+0.702 
0.637 


+8.02 
7.94 


-0.903> 
0.869 


—7.43 
7.64 


1 




















s 






a 






200 


0.566 


7.78 


0.828 


7.79 


0, Jan. 


0.11 


— 1.073 


+ 1 


— 46 


+ 3.43 


+ 2 


—170 


300 


0.-190 


7.56 


0.781 


7.87 


10 


10.08 


1 104 


1 


— 15 


+ 1.67 


2 


181 


400 


0.410 


7.27 


0.727 


7.89 


20 


20.i 5 


1.102 


+ * 


+ 19 


— 0.18 


2 


187 








30 


30.03 


1 066 





52 


2.85 


2 


185 




1866. 


1871. 


Feb. 9 


9.00 


0.998 


— 1 


86 


3.85 


2 


173 





+0.437+7.37 


-0.746—7.39 


19 


18.97 


0.895 


1 


121 


5.49 


2 


154 


Kill 


0.354 


7.0-1 


0.688 


7.87 


Mar. 1 


0.94 


0.757 


1 


154 


6.91 


1 


128 i 


200 


0.268 
0.179 


6. Of 


6.624 


7.78 


11 


10.92 


0.587 


2 


186 


8.03 


1 


95 ! 


:;<!(' 


6.2( 


0.5." 5 


7.63 


21 


20.89 


0.386 


2 


217 


8.79 


1 


56 | 


401 


0.089 [>.0'J 


0.482 


7.41 I 


31 


30.86 


-0.154 


o 


246 


9.15 


1 


— 15 




1867. 


1875. 


100, Apr 10 


9.84 


+0.105 


3 


271 


9.09 


+ 1 


+ 27 





+0.120 


+5.87 


—0.507—7.49 1 


20 


19.81 


0.386 


3 


291 


8.61 





70 


100 


+0.C29 


5.33 


0.432 


7.23 


' 30 


29.78 


0.684 


3 


305 


7.68 





112 


200 


—0.002 


4.74 


0.35: 


6.92 


May 10 


9.75 


0.993 


3 


313 


6.38 





149 


300 


0.152 


4.11 


0.271 


6.55 


20 


19.73 


1.307 


2 


314 


4.72 





182 


400 


0.24 1 


3.4. r 


0.186 


(5.12 


30 


29.70 


1.618 


2 


307 


2.76 





£09 




1868 IS. 


1876 15. 


June 9 


8.67 


1.918 


2 


292 


— 0.56 





232 








19 


18.64 


2.199 


2 


270 


+ 1.85 





246 





—0.211 


+3.68 


—0.215'— 6.27 


29 


28.62 


2.456 


1 


242 


4.34 


— 1 


253 : 


100 


0.299 


3.0( 


0.130 


5.31 


July 9 


8.59 


2.679 


— 1 


206 


6.90 


1 


256 


200 


0.363 


2.2 ( J 


—0.043 


5.30 














1 


300 


0.464 


1.56 


+0.044 


4.75 


200, 19 


18.56 


2.865 





165 


9.44 


1 


251 


400 


0.541 


0.83 


0.130 


4.1(5 


29 


28.53 


3.008 





121 


11.91 


— 1 


242 








Aug. 8 


7.51 


3.107 





76 


14.26 





227 




i860. 


1877. 


lb 


17.48 


3.161 





+ 31 


16.44 





209 





—0.516+1.07 
0.59(3+0.33 


+0.101—4.36 


28 


27.45 


3.170 


+ 1 


— 13 


18.42 





186 


100 


0.187 


3.74 


















200 


0.6r,H— 0-41 


0.27 1 


3.C9 


Sept. 7 


6.43 


3.135 


1 


54 


20.15 


+ 1 


161 


30( 


0.721 


J . 1 5 


0.354 


*> j-> 


17 

27 


16.40 
26.37 


3.063 
2.957 


2 
2 


90 

120 


21.63 

22.82 


1 

2 


134 
105 


400 


0^777 


1.88 


0.433 1.73 


Oct. 7 


6.34 


2.825 


3 


142 


23.72 


2 


74 




1S70. 


BS78. 


17 


16.32 


2.676 


3 


156 


24.30 


3 


42 



























—0.759 


-1.63 


+0.407 


-1.96 


300, 27 


26.29 


2.516 


3 


163 


24.56 


3 


+ 10 


100 


0.811 


2.35 


0.484 


1.26 


Nov. 


5.26 


2.352 


3 


162 


24.50 


3 


— 22 


200 


0.855 


3.04 


0.558 


—0.54 


. Hi 


15.23 


2.194 


3 


153 


24.13 


3 


53 


300 


0.892 


3.70 


627 


+0.19 


26 


25.21 


2.048 


3 


138 


23.44 


4 


84 


400 


0.922 


4.34 


0.691 


0.91 


Dec. 6 


5.18 


1.920 


2 


118 


22.45 


4 


113 




1871. 


1871). 


1G 
26 


15.15 
25.13 


1.814 

1.736 


2 

2 


93 
64 


21.19 

19.70 


4 
4 


js6 

159 




100 
200 


-0.913 


—4.13, 


+0.670+0.07 


36 


35.10 


+1.686 


+ 1 


— 34 


+18.03 


+ 4 


—175 


0.937 
0.953 


4.73 
5.30 


0.731 

0.785 


J.3'J 
2.10 
















' 300 


0.961 
0.961 


5.81 
6.28 


0.833 

0.875 


2.80 
3.47 


i — 












400 
















1872 B. 


1880 IS. 




* 


6 0, 


Feb. 5 


.0. 










) 


* 


(5 Mean Sun, 


Feb. 8 


6. 







—0.962— 6.1 3 


+0.862+3.25 














I 100 


0.956 


6 50. 


0.898 3.90 














200 


0.943 


6.94 


0.927 4.53 














300 


0.922 


7.25 


0.94! 5.12 














400 


—0.893 


—7.51 


+0. 90-, |+5.07 



228 



SPECIAL TABLES. 



I 




TABLE XXIV.- 


j3 Aquarii. 


i 

i 




h 
R.A. 21 


m 
24.7. 




o / 

Dec.— 6 9. 






Upp 


er transit at fictitious meridian. 






A a 






A G <5 


Side- 
real 


^ a 


A ^ 


A Q a | A Q, 6 


Sidereal Day. 


MeanDay. 










Day. 






1 


1870. 


Var.in 
10y. 


Diff. for 

iod. 


1870. 


Var.in 
10y. 


Diff. foi- 
10 d. 




1865. 

s 


1873. 

8 " 


| 



















100 


+0.611 
0.523 


+7.92 
7.79 


—0.917 

0.860 


—7.44 
7.63 


i 












1 




s 






it 






200 


0.432 


7.61 


0.796 


7.75 


0,Jan. 


0.11 


—0.992 


+ 2 


— 29 


— 2.40 





— 62 


300 


0.336 


7.37 


0.726 


7.80 


]0 


10.09 


1.006 


2 





3.00 





57 


400 


0.237 


7.04 


0.650 7.79 1 


20 


20.06 


0.992 


2 


+ 30 


3.53 





49 








30 


30.03 


0.946 


+ 1 


60 


3.97 





39 




1866. 


1874. 


Feb. 9 


9.00 


0.871 





90 


4.30 





25 



























+0.271I+7.17 


—0.6761—7.80 


.19 


18.98 


0.765 





121 


4.46 





— 8 


100 0.170 


6.81 


0.596! 7.75 


Mar. 1 


0.95 


0.629 


— 1 


151 


4.44 





+ 13 
37 


200J+0.068 


6.40 


0.512 7.64 


11 


10.92 


0.463 


1 


181 


4.19 





300 


—0.034 


5 93 


0.423 7.46 


21 


20.90 


0.268 


2 


209 


3.70 


— 1 


61 


400 


0.136 


5.41 


0.331 7.22 


31 


3.0.87 


—0.045 


2 


236 


2.98 


1 


84 




1867. 


1875. 


100, Apr. 10 


9.84 


+0.204 


2 


261 


2.03 


1 


107 





—0.102-1-5.59 


—0.363 


—7.31 


20 


19.81 


0.475 


3 


281 


— 0.84 


— 1 


129 


100 


0.204 


5 04 


0.269 


7.03 


30 


29.79 


0.764 


3 


297 


+ 0.54 





148 


200 


0.303 


4.44 


173 


*6.69 


May 10 


9.76 


1.067 


3 


307 


2.10 





162 


300 


0.400 


381 


—0.076 


6.30 


20 


19.73 


1.376 


3 


312 


3.76 





171 


400 


0.494 


3.14 


+0.022 


5.83 


30 


29.70 


1.688 


3 


309 


5.50 





176 




1868 B. 


1876 B. 


June 9 


8.68 


1.991 


3 


297 


7.26 





176 








19 


18.65 


2.280 


3 


279 


9.00 





170 


0—0.46 j-3.37 


— 0.011 


—6.02 


29 


28.62 


2 547 


2 


255 


10.65 


+ 1 


161 


100 


0.553 


2.68 


+0.08T 


5.54 


July 9 


8.60 


2.787 


2 


223 


12.20 


1 


147 


200 
300 


0.638 
0.718 


1.97 
1.25 


0.184 
0.279 


5.02 
4.46 


200, 19 


18 57 


2.991 


2 


185 


13.58 


1 


130 


400 


0.792 


0.52 


0.372 


3.8b' 


29 


28.54 


3. 156 


1 


143 


14.79 


2 


111 








Aug. 8 


7.51 


3.276 


— 1 


99 


15.80 


2 


91 




1869. 


1877. 


18 


17.49 


3.354 





54 


16.61 


2 


70 


0—0.768 


+0 76 


+0.341 —4 04 


28 


27.46 


3.385 





+ 10 


17.20 


2 


49 


100 
200 


0.83? 

0.898 


+0.03 
—0.71 


0.433 
0.521 


3.42 
2.77 


Sept. 7 


6.43 


3.375 


+ y 


— 31 


17.59 


3 


29 


300 


0.951 


1.44 


0.604 


2.10 


17 


16.40 


3.325 


i 


67 


17.79 


3 


+ H 


400 


0.997 


2.15 


0.683 1.40 


27 


26.38 


3.242 


2 


98 


17.82 


3 


- 6 








Oct. 7 


6.35 


3.131 


2 


121 


17.68 


3 


20 




1870. 


1878. 


17 


16.32 


3.002 


g 


136 


17.42 


3 


32 



























-0.982 


—1,91 


+0.657 


—1.64 


300, 27 


26.29 


2.861 


2 


143 


17.05 


4 


41 


100 


1.022 


2.61 


0.733 


0,94 


Nov. 6 


5.27 


2.718 


2 


142 


16.60 


4 


49 


200 


1.052 


3.38 


0.802 


—0.22 


16 


15.24 


2.579 


2 


133 


16.08 


4 


55 


300 


1.073 


3.93 


0.860 


+0.49 


26 


25.21 


2.454 


2 


118 


15.50 


4 


60 


400 


1.085 


4.54 


0.922 


1.21 


Dec. 6 


5.19 


2.344 


2 


98 


14.89 


4 


62 




1871. 


1879. 


16 
26 
36 


15.16 
25.13 
35.10 


2.258 

2.197 

+2.163 


2 
+ 1 


74 

48 

— 19 


14.26 

13.63 

+13.00 


4 
4 

+ 4 


63 

63 

— 61 



100 
200 


—1.082 
1.088 
1.085 


-4.33 
4.92' 
5.46 


+0.903 
0.955 
998 


+0.97 
1.67 
2.37 
















300 

400 


1.072 
1.051 


5.95 
—6.39 


1.033 

1.060 


3.05 
3.70 




























1872 B. 


1880 B. 




* 


6 G, 


Feb. 


7.1. 












* 


d Mean Sub, 


Feb. 1 


8. 




0—1.059:— 6.25 
100! 1.031 J 6.65! 
200 0.995 7.00! 
300 0.951 7.29! 


+ 1.0521+3.49 
1.072 4.12 
1.084 4.72 | 
1.086) 5.29 | 














400!— 0.899— 7.51 ! 

1 1 


+ 1.080|+5.81 | 
I 





























SPECIAL TABLES. 



22D 



j 




TABLE XXIV.- 


-s, Aqaarii. 


i 




h m 

K.A. 21 30.8. 




/ 

Dec. — 8 26. 


1 

1 




Upper transit at fictitious 


meridian. 


i 












jiSide- 






I i 


i 




A Q a 






A 0<> 


1 real 


A a a 


A Q<> 


A fi« A b¥ 


Sidereal Day. 

i 


Mean Day. 










j Day. 






J 


18*0. 


Var. in 

10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 

lOy. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 
s " 


i 

















100 


+0.6001+7 82 


—0.916 
0.857 


-7.45 
7.61 


I 
















511 


7.69 


! 




s 






a 






200 


0.417 


7.4v) 


0.791 


7.71 


O.Jan. 


0.12 


—0.973 


+ 2 


— 33 


— 3.00 


+ 1 


— 51 


300 


0.320 


7.22 


0.719J 7.75 


10 


10.09 


0.992 


2 


— 5 


3.48 


+ I 


44 


j 400 


0.219 6.90 


0.640J 7.71 


20 


20.06 


982 


1 


+ 25 


3.87 





35 


1 






30 


30.04 


0.941 


+ 1 


55 


4 17 


— 1 


24 




1866. 


1871. 


Feb. 9 


9.01 


0.871 





86 


4.34 




— 9 


! 






















Oj+0.253+7.01 


— 0.667J— 7.74 


39 


18.98 


0.770 





117 


4.35 




+ 8 
28 


100| 0.151 


6.64 


0.586 7.67 


Mar. 1 


0.95 


0.638 


— 1 


147 


4.18 




2001+0.048 


6.22 


0.499 7.53 


i 11 


10 93 


0.476 


1 


177 


3.78 




50 


300 


—0.055 


5.74 


0.409| 7.34 


! 21 


20.90 


0.284 


2 


206 


3.18 




73 


400 


0.158 


5.21 


0.315| 7.08 


3i 


30.87 


—0.065 


2 


233 


2.32 




95 




1867. 


1875. 


j 100, Apr. 10 


9.85 


+0.181 


3 


259 


1.27 




116 





—0.1241+5.39 


—0.347 


—7.17 


20 


19.82 


0.451 


3 


280 


— 0.00 




135 


100 


0.226 4.83 


0.25-4 


6.88 


30 


29.79 


0.740 


3 


297 


+ 1.43 




151 


200 


0.326 4.22 


0.155 


6.53 


! May 10 


9.76 


1.043 


3 


309 


3.01 


— 1 


163 


300 


0.424! 3.5b 


—0 057 


6.-13 


20 


19.74 


1.355 


3 


314 


4.68 





171 


400 


0.517J 2.91 


+0.042 


5.67 


30 


29.71 


1.668 


3 


312 


6.41 





174 




1868 B. 


1876 m. 


June 9 


8.68 


1976 


3 


302 


8.J4 





172 








19 


18.65 


2.270 


3 


285 


9.84 





165 





—0.486 


+3.14 


+0.0091—5.83 


29 


28.63 


2.543 


2 


260 


11.42 





153 


100 


0.577 


2.45 


0.1081 5.34 


July 9 


8.60 


2.788 


2 


228 


12.88 


+ 1 


138 


200 


0.662 


1 75 


0.S06 4.81 


■ 














300 


0.741 


1.03 


0.302 4.24 


1200, 19 


18.57 


2.998 


2 


192 


14.17 


1 


120 


400 


0.814 


0.30 


0.395J 3.64 


29 


28.54 


3.171 


1 


151 


15.27 


2 


100 








Aug. 8 


7.52 


3.300 


1 


105 


16.16 


2 


78 




1869. 


1877. 


18 


17.49 


3.382 


— 1 


60 


16.83 


2 


56 





—0.791 


+0.54 


+0.364—3.84 


28 


27.46 


3.421 





+ 17 


17.29 


3 


36 


100 
200 


0.859 
0.9J9 


—0.19 
0.92 


0.456 
0.544 


3.21 

2.56 


Sept. 7 


6.44 


3.417 





-25 


17.56 


3 


4- 17 


300 


0.972 


1.64 


0.627 


1.88 


17 


16.41 


3.373 


+ 1 


62 


17 64 


3 


— 1 


400 


1.015 2.34 


0*06 


•1.19 


27 


26.38 


3.295 


1 


93 


17.55 


3 


16 








Oct. 7 


6.35 


3.189 


1 


118 


17.32 


3 


29 




1870. 


1878. 


17 


16.33 


3.002 


1 


134 


16.98 


4 


39 



























—1.001 


—2.10 


+0.6801—1.43 


j 300, 27 


26.30 


2.924 


2 


142 


16.55 


4 


46 


100 


1.040 


2.79 


0.755 0.73 


I Nov. 6 


5.27 


2.781 


2 


142 


16.06 


4 


52 


200 


1.068 


3.45 


0.824—0.02 


16 


15.24 


2.643 


2 


134 


15.52 


4 


56 


300 


1.088 


4.08 


0.887+0.69 


26 


25.22 


2.515 


2 


120 


14.95 


4 


57 


400 


1.098 


4.68 


0.9421 1.40 


Dec. 6 

< 1 


5.19 


2.405 


2 


100 


14.38 


4 


57 




1871. 


1879. 


16 

3 


15.16 
25.14 
35.11 


2.316 

2.251 

+2.214 


2 
2 

+ 2 


77 

51 

— 22 


13.81 

13.26 

+12.74 


4 

4 

+ 4 


56 

54 

— 49 



100 
200 


—1.096 
1.100 
1.095 


—4.48 
5.04 
5.57 


+0.924+1.16 
0.974! 1.86 
1.017J 2.55 


i! 














300 


1.080 


6.04 


1.050! 3.22 


! 














400 


1.056 6.46 


1.075| 3.86 
















1872 B. 


1880 B. 




* C 


5 0, ] 


Feb. 8 


.6. 














* C 


5 Mean Sun, ] 


Feb. 12 


.3. 









_l.065l-6.32 


+1.007+3.65 
1.0861 4.27 
















100 


1.036 6.71 
















200 


0.998| 7.04 


1.0961 4.86 


t 














300 


0.951] 7.30j 1.097} 5.40 1 


| 1 
















400 


—0.897 


—7.511 

1 


4-l.'0b8 


+6.91 



230 



SPECIAL TABLES. 











TABLE XXIV.- 


-e Pegasi. 








R.A. 21 


m 
37.8. 




Dec. + 


D / 

3 17. 


"' 






Upp 


er transit at fictitious meridian. 

1 


Sidereal Day. 


Mean Day. 


A^a 


A 4 


Iside- 

real 

jDay. 


A Q a 


A n* 


A Q a 


A ^ 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 

10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

s 




















100 


+0.674+7.71 


—0.918 

0.875 


—7.45 

7.58 


















0.599 


7.56 






s 






// 






200 


0.520 


7.34 


0.824 


7.66 


0, Jan. 


0.12 


-0.939 


+ 2 


— 49 


+ 1.37 


+ 2 


—124 


300 


0.435 


7.05 


0.76? 


7.68 


10 


10.10 


0.976 


1 


— 21 


+ 0.10 


2 


130 


400 


0.347 


6.71 


0.704 


7.62 


20 


20.07 


0.98 L 


1 


+ 8 


- 1.21 


2 


131 








30 


30.04 


0.960 


+ 1 


37 


2.50 


2 


126 




I860. 


1874. 


Feb. 9 


9.01 


0.907 





69 


3.71 


2 


115 



























+0.377 


+6.83 


—0.726—7.65 


19 


18.99 


0.821 


— 1 


102 


4.V7 


1 


97 


100 


0.287 


6.45 


0.659' 7.56 


Mar. 1 


0.96 


0.703 


1 


133 


5.63 


1 


74 


200 


0.194 


6.01 


0.587! 7.40 


11 


10.93 


0.555 


2 


164 


6.24 


+ 1 



45 


300 


0.099 


5.51 


0.510 7.19 


21 


20.90 


0.376 


2 


195 


6.53 


— 13 


400 


0.003 


4.97 


0.429, 6.92 


31 


30.88 


—0.165 


2 


225 


6.50 





+ 20 




1867. 


1875. 


100, Apr. 10 


9.85 


+0.074 


2 


252 


6.12 





56 





+0.036 


+5.16 


—0.457 


—7.01 


20 


19.82 


0.337 


3 


275 


5.38 





91 


100 


—0.060 


4.58 


0.373 


6.70 


30 


29.80 


0.622 


3 


292 


4.31 





122 


200 


0.155 


3.9? 


0.287 


6.34 


May 10 


9.77 


0.920 


3 


305 


2.94 


— 1 


151 


300 


0.249 


3.32 


0.199 


5.92 


20 


19.74 


1.229 


3 


310 


— 1.29 


1 


177 


400 


0.341 


2.65 


0.108 


5.45 


30 


29.71 


1.538 


3 


307 


+ 0.59 


1 


198 




1868 B. 


1876 B. 


June 9 


8.69 


1.840 


2 


297 


2.65 


1 


211 








19 


18.66 


2.130 


2 


281 


4.79 


— 1 


217 





—0.310 


+2.88 


—0.139—5.61 


29 


28.63 


2.399 


2 


255 


6.98 


• 


221 


100 


0.399 


2.19 


— 0.048J 5.12 


July 9 


8.60 


2.638 


1 


223 


9.19 





219 


200 
300 


0.485 
0.56? 


1.49 

0.77 


+0.043! 4.58 
0.134! 4.00 


200, 19 


18.58 


2.844 


1 


188 


11.34 





210 


400 


0.643 


0.05 


0.224| 3.39 


29 


28.55 


3.013 


— 1 


148 


13.37 





197 








Aug. 8 


7.52 


3.139 





103 


15.26 





180 




1869. 


1877. 


18 


17.50 


3.219 





59 


16.96 


+ 1 


160 





—0.618 


+0.29 


+ 0.194 
0.283 


—3.59 


28 


27.47 


3.257 


+ 1 


+ 16 


18.47 


1 


139 


100 


0.690 


—0.44 


2.96 


















200 


0.75? 


1.16 


0.369 


2.31 


Sept. 7 


6.44 


3.252 


1 


— 25 


19.74 


1 


116 


300 


0.816 


1.86 


0.453 


1.63 


17 


16.41 


3.208 


2 


62 


20.78 


1 


91 


400 


0.869 


2.55 


0.534 


0.94 


27 


26.39 


3.129 


2 


92 


21.56 


2 


67 








Oct. 7 


6.36 


3.025 


3 


116 


22.12 


2 


43 




1870. 


1878. 


17 


16.33 


2.899 


3 


134 


22.43 


2 


+ 19 



























—0.852 


—2.32 


+0.50? 


—1.17 


300, 27 


26.30 


2.760 


3 


143 


22.50 


3 


— 5 


100 


0.900 


3.00 


0.584 


—0.48 


Xov. 6 


5.28 


2.616 


3 


144 


22.33 


3 


28 


200 


0.939 


3.64 


0.657 


+0.23 


16 


15.25 


2.474 


2 


139 


21.94 


3 


50 


300 


0.970 


4.25 


0.725 


0.93 


26 


25.22 


2.340 


2 


127 


. 21.34 


4 


70 


400 


0.994 


4.83 


0.786 


1.63 


Dec. 6 


5.19 


2.222 


2 


110 


20.55 


4 


88 




1871. 


1879. 


16 

26 
36 


15.17 
25.14 
35.11 


2.122 

2.045 
+1.992 


2 
2 

+ 2 


89 

65 

— 40 


19.58 

18.46 

+17.23 


4 

4 

+ 4 


105 

118 

—127 



100 
200 


—0.987 
1.004 
1.013 


—4.64 
5.19 
5.69 


+0.7661+1.39 

0.8-24; 2.08 
0.8741 2.76 


















300 
400 


1.013 
1.005 


6.14 
6.54 


0.918! 3.41 
0.954| 4.03 
































1872 B. 


1880 B. 




* < 


1 0, 




Feb. K 


.4. 










i 


* ( 


3 Mean £ 


un, 


Feb. 14 


.1. 







—1.0091—6.41 


+0.943 


+3.83 


i 














100 


0.995 


6.7? 


0.974 


4.43 


1 














201 


0.972 


7.07 


0.996 


5.00 


| 














300 


0.94* 


7.32 


1.011 


5.53 


















400 


—0.904 


—7.50 


+1.016 


+6.01 

i 



SPECIAL TABLES. 



231 







TABLE XXIV.- 


* 11 Cephei. 






h m 
R.A. 21 40.0. 


o / 

Dec. + 70 43. 


Upper transit at fictitious meridian. 






A a 




A c> 


Side- 
real 


A Q a 


A Q<* 


A Q a 


A Q< 5 


Sidereal Day. 


MeanDay. 








Day. 












1 


















1870. 


Var.inDiff.for 
10 y. 1 10 d. 


1S70. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 

s " 








1 










100 


+1.349 
1.401 


+7.67 
7.51 


—0.962—7.44 

1.U58J 7.58 




















s 






// 






200 


1.440 


7.29 


1.146! 7.65 


0,Jan. 


0.12 


-2.784 


— 4 


—441 


+13.76 


+ 2 


—218 


300 


1.467 


6 99 


1.224 7.65 


10 


10.10 


3. J 88 


6 


359 


11.36 


2 


261 


400 


1.482 


6.64 


1.291! 7.60 


20 


20.07 


3.498 


7 


259 


8.57 


2 


295 








30 


30.04 


3.703 


8 


148 


5.50 


2 


317 




1866. 


J874. 


Feb. 9 


9.02 


3.792 


9 


— 30 


+ 2.27 


2 


327 





+1.478 


+6.7? 


—1.269 


—7.62 


19 


18.99 


3.762 


10 


+ 91 
212 


— 0.99 


2 


323 


100 


1.481 


6.38 


1.330 


7.52 


Mar. 1 


0.96 


3.610 


10 


4.15 


2 


307 


200 


1.47? 


5.93 


1.379 


7.36 


Jl 


30.93 


3.340 


10 


327 


7.09 


2 


279 


300 


1.457 


5.43 


1.41? 


7.14 


21 


20.91 


2.960 


10 


432 


9.69 


J 


239 


400 


1.424 


4.89 


1.442 


6.86 


31 


30.88 , 


2.480 


9 


525 


11.85 


1 


191 




1867. 


1875. 


100, Apr. 10 


9.85 


1.916 


8 


601 


13.49 


1 


136 





+1.437 


+5.08 


—1.435 


-6.96 


20 


19.82 


1.286 


7 


657 


14.55 


+ 1 


76 


100 


1.397 


4.50 


1.453 


6.65 


30 


29.80 


—0.608 


6 


694 


15.00 





— 14 


200 


1.342 


3.89 


1.459 


6.28 


May 10 


9.77 


+0.C95 


4 


709 


14.83 





+ 48 


300 


1.277 


3.24 


1.454 


5.85 


20 


19.74 


0.802 


2 


702 


14.04 





108 


400 


1.201 


2.5? 


1.436 


5.38 


30 


29.72 


1.492 


— 1 


675 


12.67 





165 




1868 B. 


1876 JS. 


June 9 


8.69 


2.145 


+ 1 


629 


10.76 


1 


216 








19 


18.66 


2.743 


2 


565 


8.37 




261 





+1.228 


+2.80 


—1.443 


.-5.55 


29 


28.63 


3.270 


3 


486 


5.56 




299 


100 


1.145 


2.11 


1.417 


5.05 


July 9 


8.61 


3.711 


4 


395 


— 2.41 




330 


200 
300 


1.053 
0.951 


1.40 

+0.68 


1.380 
1.331 


4.51 
3.92 


200, . 19 


18.58 


4.057 


5 


295 


+ 1.00 




352 


400 


0.841 


—0.04 


1.272 


3.31 


29 


28.55 


4.299 t 


6 


189 


4.60 




366 








Aug. 8 


7.52 


4.434 


6 


+ 80 


8.30 




372 




1S69. 


1877. 


18 


17.50 


4.458 


7 


— 30 


12.01 




370 





+0.679 
0.764 


+0.21 


—1.293—3.52 


28 


27.47 


4.374 


7 


137 


15.68 




361 


100 


—0.5* 


1.226 2.89 


















200 


0.643 


1.23 


1.149 


2.24 


Sept. 7 


6.44 


4.186 


6 


238 


19.21 




344 


300 


0.517 


1.93 


1.063 


1.56 


17 


16.42 


3.900 


6 


332 


22.53 


— 1 


319 


400 


0.386 


2.62 


0.96? 


0.87 


27 


26.39 


3.525 


6 


416 


25.57 





288 








Oct. 7 


6.36 


3.072 


5 


488 


28.27 





250 




187©. 


1878. 


17 


16.33 


2.553 


4 


547 


30.56 





207 



























+0.431 


—2.40 


— 1.000 


—1.10 


300, 27 


26.31 


1.984 


3 


590 


32.38 





157 


100 


0.298 


3.06 


0.899 


—0.41 


Nov. 6 


5.28 


1.378 


+ 2 


618 


33.69 





103 


200 


0.163 


3.70i 


0.790 


+0.29 


16 


15.25 


0.754 





628 


34.44 


+ 1 


+ 46 


300 


+0.027 


4.31 


0.675 


0.99 


26 


25.22 


+0.127 


— 1 


622 


34.60 


1 


— 14 


400 


—0.109 


4.8b 


0.553 


1.69 


Dec. 6 


5.20 


—0.483 


3 


596 


34.16 


1 


74 




1871. 


1879. 


16 
26 
36 


15.17 
25.14 
35.12 


1.060 

1.584 
—2.039 


5 

7 
— 8 


553 

493 

—415 


33.13 

31.53 

+29.41 


2 
2 

+ 2 


132 

187 
—235 



100 
200 


—0.063 
0.198 
0.331 


-4.69 
5.23 
5.72 


—0.595 
0.470 
0.341 


+1.45 
2.14 

2.81 






i 








300 


0.461 


e.n 


0.208 


3.46 










400 


0.587 


6.56 


0.074 


4.08 












1873 B. 


1880 B. 




■* c 


3 0, Feb. 11 0. 












* c 


5 Mean Sun, Feb. 14.7. 







—0.545 


—6.43 —0.119 


+3.88 




* I 


5 Mean Sun, Aug. 16.3. 




100 


0.668 


6.79 


+0.016 


4.48 










200 


0.764 


7.08 


0.151 


5.04 










300 


0.894 


7.32 


0.286 


5.56 










400 


—0.996 


— 7.50: 


+0.41? 


+6.04 



232 



SPECIAL TABLES. 







TABLE XXIV.-^a 


Capricorn!. 








h 
R.A. 21 


m 
46.2. 




o / 

Dec. — 14 10. 








Upper transit at fictitious meridian. 


















Side- 












Sidereal Day. 




A a 






V 




real 
Day. 


^tt a 


^ 


A ft° 


A a 6 




Mean D»iy. 


1ST©. 


Var. ill 

luy. 


Diff. for 
JUd. 


1870. 


Van in 

10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 
s 





















100 


+0.567 
0.473 


+7.57 
7.39 


-0.908 
0.843 


—7.43 

7.55 


























s 






" 






200 


0.375 


7.15 


0.772 


7.59 




0,Jan. 


0.13 


-0.929 


4- 3 


— 44 


— 4.60 


+ 1 


— 23 


300 


0.274 


6.84 


0.694 


7.58 




10 


10.10 


0.959 


2 


— 16 


4.78 





13 


400 


0.170 


6.48 


0.611 


7.50 




20 


20.07 


0.961 


1 


+ 13 


4.86 





— 1 










30 


30.05 


0.933 


+ 1 


42 


4.79 





+ 14 




1866. 


1871. 




Feb. 9 


9.02 


0.876 





73 


4.57 





30 





+0.2051+6.60 


—0.640—7.54 




19 

Mar. 1 

11 

21 


18.99 

0.97 

10.94 

20.91 


0.787 
0.61)7 
0.516 
0.333 




— 1 

1 

2 


105 
136 

167 

IU8 


4.19 
3 63 

2.86 
1.92 




— 1 

1 

1 


47 

66 

85 

104 


100 
200 
300 
400 


+0.100 

—0.006 

0.112 

0.218 


6.20 
5.74 
5.23 
4.68 


0.553 
0.463 
0.368 
0.270 


7.42 
7.24 
7.00 
6.71 




31 


30.88 


—0.121 


2 


226 


— 0.78 


1 


123 




1867. 


1875. 




100, Apr. 10 


9.86 


+0.119 


3 


253 


+ 0.54 


2 


140 





—0.182 


+4.87 


—0.304 


—6.81 




20 


19.83 


0.3^5 


3 


278 


2.01 




155 


100 


0.286 


4.29 


0.205 


6.48 




30 


29.80 


0.674 


3 


298 


3.62 


1 


165 


200 


0.3ria 


3.67 


0.104 


6.09 




May 10 


9.77 


0.978 


4 


312 


5.30 


1 


171 


300 


0.486 


3.02 


—0.003 


5.66 




20 


19.75 


1.295 


3 


320 


7.02 


— 1 


174 


400 


0.579 


2.34 


+0.09c 


5.18 




30 


29.72 


1.616 


3 


321 


8.76 





171 




1868 B. 


1S76 B. 




June 9 


8.69 


1.934 


3 


314 


10.43 





16.3 










19 


18.66 


2.241 


3 


299 


12.02 





151 





—0.54* +2.57 


+0.064!—5.34 




29 


28.64 


2.529 


3 


276 


13.46 


+ 1 


135 


100 


0.63« 


1.88 


0.165 


4.83 




July 9 


8.61 


2.790 


2 


247 


14.72 


1 


116 


200 


0.723 


1.17 


0.264 


4.29 


















300 


0.801 


+0.46 


0.361 


3.70 




200, 19 


18.58 


3.020 


2 


212 


15.7$ 


2 


95 


400 


0.872 


—0.26 


0.456 


3.08 




29 


28.56 


3.210 


2 


170 


16.62 


2 


72 










Au£. 8 


7.53 


3.357 


2 


125 


17.22 


2 


48 




1869. 


1877. 




18 


17.50 


3.459 


1 


80 


17.&8 


3 


25 





—0.849 


—0.02 


+0.424 


-3.29 




28 


27.47 


3.516 


— 1 


+ 34 


17.73 


3 


+ 4 


100 

200 


0.914 
•0.972 


o.7;i 

1.44 


0.51b 

0.604 


2.65 
1.99 




Sept. 7 


6.45 


3.527 





— 9 


17.66 


3 


— 15 


300 


1.021 


2.13 


0.687 


1.32 




17 


16.42 


3.498 





48 


17.43 


3 


30 


400 


1.06;: 


2 81 


0.76L 


0.63 




27 


26 39 


3.432 





. 82 


17.06 


4 


43 










Oct. 7 


6.36 


3.335 


+ I 


109 


16.57 


4 


54 




1870. 


1878. 




17 


16.34 


3.216 


1 


128 


15.99 


4 


60 





























-1.049 


—2.58 


+0.739 


—0.87 




300, 27 


26.31 


3.082 


2 


139 


15.38 


4 


62 


100 


1.083 


3.24 


0.813 


—0.17 




Nov. 6 


5.28 


2.941 


3 


141 


14.76 


4 


61 


200 


1.108 


3.86 


0,881 


+0.52 




16 


15.26 


2.802 


3 


136 


14.17 


4 


58 


300 


1.123 


4.46 


0.940 


1.22 




20 


25.23 


2.671 


3 


124 


13.61 


3 


54 


400 


1.128 


5.0J 


0.992 


1.90 




Dec, 6 


5.20 


2.555 


3 


108 


13.10 


3 


47 




1871. 


1879. 




16 
26 

36 


15.17 
25.15 
35.12 


2.457 
2.384 

+2.336 


2 
2 

+ J 


86 

60 

— 34 


12.67 
12.32 

+ 12.07 


3 

3 

+ 3 


39 

30 

— 20 



100 
200 
300 


—1.128 
1.127 
1.116 
1.096 


-4.83 
5.35 
5.82 
6.25 


+0.975 
1.022 
1.060 

1.090 


+ 1.67 
2.35 
3.00 
3 64 


















400 


1.067 


6.62 


1.111 


4.24 




















1872 B. 


1880 B. 






* 


i 0, 


Feb. 12 


.6. 
















* 


5 Mean Sun, 


Feb. U 


.2. 









—1.078 


—6.50 


+1.105+4.04 


















100 


1.04:? 


6.83 


1.119 


4.63 


















200 


0.999 


7.11 


1.125 


5.17 


















300 


0.947 


7.32 


1.12C. 


5.68 


















400 


—0.887 —7.48 


+1.106+6.13 





SPECIAL TABLES. 



233 





TABLE XXIV.—* 


1 
79 Draconis. 




h m 
E.A. 21 51.2. 


o / 

Dec. + 73 5. 


Upper transit at fictitious meridian. 






A Q a 




A c5 




Side- 
real 


A « a 


A Q 6 


A a a \ a q 6 


Sidereal Day. 


MeanDay. 










Day. 






1 
























1870. 


Var.in 
10 y. 


Diff. foi 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

s 



















100 


+1.538+7.48 


—1.049 
1.169 


—7.42 
7.52 


















1.608 


7.28 






s 






a 






200 


1.664 


7.02 


1.279 


7.55 


0,Jan. 


0.13 


-2.991 


— 6 


—544 


+14.64 


+ 3 


—202 


300 


1.706 


6.70 


1.378 


7.52 


10 


10.11 


3.490 


8 


450 


12.38 


2 


248 


400 


1.733 


6.33 


1.465 


7.43 


20 


20.08 


3.886 


10 


340 


9.70 


2 


285 








30 


30.05 


4.165 


11 


216 


6.71 


2 


311 




1866. 


1874. 


Feb. 9 


9.02 


4.315 


12 


— 82 


3.52 


2 


325 



























+1.725+6.46 


—1.437 


—7.47 


19 


19.00 


4.328 


13 


+ 56 


+ 0.26 


2 


325 


100 


1.742 


6.04 


1.517 


7.33 


Mar. 1 


0.97 


4.202 


13 


195 


— 2.94 


2 


313 


200 


1.744 


5.57 


1.584 


7.14 


11 


10.94 


3.940 


13 


329 


5.95 


1 


290 


300 


1.730 


5.06 


1.637 


6.89 


21 


20.92 


3.548 


13 


452 


8 66 


1 


252 


400 


1.701 4.49 


1.677 


6.58 


31 


30.89 


3.040 


12 


562 


10.95 


1 


206 




1867. 


1875. 


100, Apr. 10 


9.86 


2.431 


10 


653 


12.75 


1 


153 





+1.713 


+4.69 


—1.665—6.69 


20 


19.83 


1.741 


9 


723 


13.99 


+ 1 


94 


100 


1.674 


4.10 


1.696 


6.35 


30 


29.80 


0.993 


7 


769 


14.63 





— 33 


200 


1.621 


3.48 


1.713 


5.95 


May 10 


9.78 


—0.210 


5 


792 


14.65 





+ 29 


300 


1.554 


2.82 


1.716 


5.51 


20 


19.75 


+0.583 


3 


790 


14.06 





90 


400 


1.473 


2.14 


1.705 


5.02 


30 


29.72 


1.362 


— 1 


764 


12.87 





147 




1868 B. 


1876 B. 


June 9 


8 70 


2.104 


+ 1 


717 


11.12 





200 








19 


18.67 


2.789 


3 


649 


8.88 


— 1 


247 





+1.502 


+2.37 


—1.710 


—5.19 


29 


28.64 


3.397 


4 


564 


6.20 


1 


288 


100 


1.413 


1.68 


1.689 


4.67 


July 9 


8.61 


3.913 


6 


466 


— 3.16 


1 


321 


200 


1.311 


0.98 


1.655 


4.11 
















300 


1.199 


+0.27 


1.606 


3.52 


200, 19 


18.59 


4.325 


7 


356 


+ 0.18 


1 


346 


400 


1.075 


—0.44 


1.545 


2.90 


29 


28.56 


4.622 


8 


239 


3.73 


1 


363 








Aug. 8 


753 


4.800 


9 


+117 


7.41 


1 


372 




1869. 


1877. 


18 


17.50 


4.856 


9 


- 5 


11.15 


1 


374 


04-1.118 


—0.19 


—1.567 


—3.11 


28 


27.48 


4.790 


9 


126 


14.86 


1 


367 


100 
200 


0.989 
0.852 


0.91 
1.61 


1.497 
1.415 


2.48 
1.82 


Sept. 7 


6.45 


4.607 


8 


241 


18.46 


1 


353 


300 


0.70? 


2 29 


1.320 


1.15 


17 


16.42 


4.311 


8 


349 


21.90 


1 


331 


400 


0.557 


2.96 


1.215 


0.46 


27 


26.40 


3.912 


7 


447 


25.07 


1 


302 








Oct. 7 


6.37 


3.422 


6 


532 


27.92 


— 1 


267 




1870. 


1878. 


17 


16.34 


2.853 


5 


603 


30.39 





225 



























+0.608 


—2.74 


— 1.252|— 0.69 


300, 27 


26.31 


2.220 


3 


659 


32.41 





177 


100 


0.455 


3.38 


1.1391 0.00 


Nov. 6 


5.29 


1.540 


+ 1 


697 


33.91 





124 


200 


0.298 


3.99 


1.017+0.69 


16 


15.26 


832 




717 


34.87 


+ 1 


67 


300 


+0.139 


4.57 


0.887| 1.37 


26 


25.23 


+0.112 


3 


717 


35.25 


1 


+ 7 


400 


-0.021 


5.11 


0.748i 2.05 


Dec. 6 


5.20 


—0.596 


5 


696 


35.01 


1 


— 54 




1871. 


1879. 


16 
26 
36 


15.18 
25.15 
35.12 


1.274 

1.899 
—2.452 


7 

9 

—11 


655 

593 

—511 


34.18 

32.77 

+30.81 


1 

2 


113 

169 
—220 




100 
200 


+0.033 

—0.127 

0.285 


—4.93 

5.44 
5.90 


—0.796+1.82 
0.6531 2.49 
0.504 j 3.14 












300 


0.440 


6.31 ! 


0.350! 3.76 










400 


0.C01 


6.67 


0.194J 4.36 












1873 B. 


1880 B. 




* 6 0, Feb. 13.9. 














>j< 6 Mean Sun, Feb. 17 5. 









—0.541 


—6.55—0.2471+4.16 




;j< 8 Mean Sun, Aug. 19.1. 






100 


0.689 


6.87!— 0.089 


4.73 










200 


0.830 


7.13+0.071 


5.26 


I 








300 


0.965 


7.33| 0.230 


5.75 


i 

1 1 

I. 








400 — 1.091 

i 


—7.46+0.388+6.20 



234 



SPECIAL TABLES. 











TABLE XXIV. 


—a Gruis. 








h 
E.A. 22 


m 
0.0. 




Dec. — 47 35. 




Upper transit at fictitious meridian. 










A a 






A Q 6 


Side- 
real 


A ^ a 


A ^ 


A a a 


A Q d 




Sidereal Day. 


Mean Day. 












Day 












1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 





















100 


+0.312+7.32 


—0.850 
0.741 


—7.39 
7.46 




















0.180 


7.10 








fi 






it 






200 


+0.046 


6.81 


0.627 


7.46 




0, Jan. 


0.14 


—1.275 


+ 5 


—106 


—12.19 


— 2 


+125 


300 


—0.088 


6.47 


0.507 


7.40 




10 


10.11 


1.361 


5 


64 


10.77 


3 


157 


400 


0.222 


6.07 


0.384 


7.28 




20 


20.08 


1.404 


4 


— 21 


9.06 


3 


186 










30 


30.06 


1.402 


3 


+ 24 


7.07 


4 


210 




1866. 


1871. 




Feb. 9 


9.03 


1.356 


2 


69 


4.88 


4 


229 





























—0.178 


+6.21 


—0.426 


—7.33 




19 


19.00 


1.264 


+ 1 


115 


2.51 


4 


244 


100 


0.311 


5.78 


0.300 


7.17 




Mar. 1 


0.97 


1.126 





161 


— 0.02 


4 


253 


200 


0.441 


5.29 


0.173 


6.95 




11 


10.95 


0.94:5 


— 1 


205 


+ 2.54 


4 


257 


300 


0.567 


4.76 


-0.044 


6.67 




21 


20.92 


0.716 


2 


249 


5.11 


4 


257 


400 


0.689 


4.19 


+0.085 


6.34 




31 


30.89 


0.446 


3 


291 


7.67 


3 


253 




1867. 


1875. 




100, Apr. 10 


9.87 


—0.136 


4 


329 


10.15 


3 


242 





— 0.648 -4-4. 36 


+0.042—6.46 




20 


19.84 


+0.210 


5 


362 


12.49 


3 


227 


100 


0.766 


3.76 


0.170 


6.09 




30 


29.81 


0.585 


6 


390 


14.67 


2 


207 


200 


0.877 


3.13 


0.297 


5.68 




May 10 


9.78 


0.987 


6 


412 


16.61 


1 


182 


30C 


0.980 


2.47 


0.421 


5.22 




20 


19.76 


1.406 


7 


426 


18.29 


- 1 


154 


400 


1.074 


J. 80 


0.543 


4.71 




30 


29.73 


1.835 


7 


430 


19.67 





121 




1868 B. 


1876 B. 




June 9 


8.70 


2.262 


8 


423 


20.70 


+ 1 


84 










19 


18.67 


2.677 


8 


406 


21.35 


2 


46 





—1.043 


+2.04 


+0.502 


-4.89 




29 


28.65 


3.070 


7 


379 


21.61 


3 


+ 7 


100 


1.131 


1.3F 


0.620 


4.36 




July 9 


8.62 


3.431 


7 


343 


21.49 


3 


— 31 


20( 


1.209 


+0.b'£ 


0.733 


3.79 


















300 


1.277 


— O.Of 


0.840 


3.19 




•100, 19 


18.59 


3.752 


7 


296 


20.99 


4 


69 


400 


1.333 


0.75 


0.940 


2.57 




29 


28.57 


4.021 


6 


242 


20.12 


5 


104 










Aug. 8 


7.54 


4.234 


6 


183 


18.91 


5 


135 




1869. 


1877. 




18 
28 


17.51 

27.48 


4.386 
4.473 


5 
4 


120 
+ 55 


17.43 
15.73 


5 
6 


160 
179 



100 


—1.315 
1.364 


-0.52 
1.22 


+0.907—2.77 
1.002 2.13 




Sept. 7 


6.46 


4.496 


4 


— 8 


13.88 


6 


190 


200 
30C 


1.400 
1.425 


1.9J 

2.58 


1.089 1.48 

1.167J 0.80 




17 

27 


16.43 
26.40 


4.458 
4.363 


3 
o 


68 
120 


11.96 

10.04 


6 
6 


193 

188 


400 


1.437 


3.22 


1.235] 0.12 




Oct. 7 


6.37 


4.221 


— 1 


164 


8.22 


7 


175 




1870. 


1878. 




17 


16.35 


4.039 





197 


6.57 


6 


154 





























—1.434 


— 3.0C 


+1.213'— 0.35 




300, 27 


26 32 


3.830 





219 


5.16 


5 


126 


100 


! 438 


3.63 


1.275+0.33 




Nov. 6 


5.29 


3.605 


+ 1 


230 


4.06 


4 


93 


200 


1.429 


4.22 


1.327 1.01 




16 


15.26 


3.374 


1 


229 


3.31 


4 


56 


300 


1.408 


4.78 


1.368 1.68 




26 


25.24 


3.15J 


1 


217 


2.95 


3 


— 16 


400 


1.375 


5 29 


1.397i 2.34 




Dec. C 


5.21 


2.944 


1 


195 


2.99 


2 


+ 25 




1871. 


1879. 




16 

26 
36 


15.18 
25.16 
35.13 


2.763 
2.614 

+2.503 


2 
2 

+ 1 


166 
131 

— 91 


3.44 

4.28 
+ 5.48 


2 

+ 1 



65 
103 

+137 



100 
200 
300 


—1.387 
1.347 
1.294 
1.232 


—5.12 

5.60 
6.03 
6.41 


+1.388+2.12 
1.410! 2.77 
].420| 3.40 
3-419! 4.00 
1.405J 4.57 


















400 


1J58 


6^74 




















1872 B. 


1880 B. 






* c 


SO, 


] 


Mb. 1G 


.1. 














* c 


5 Mean S 


un, 


Feb. 19 


.7. 







—1.184—6.63 


+1.411 


+4 39 


















100 


1.104 


6.92 


1.390 


4.93 


















200 


1.016 


7. If; 


1.356 


5.44 


















300 


0.919 


7.32 


1.311 


5.90 


















400 


—0.815— 7.4* 


+ 1.255+6.31 1 





SPECIAL TABLES. 



235 







TABLE XXIV.- 


-0 Aquarii. 






R.A. 22 10.0. 




o / 

Dec. — 8 26. 






Upper transit at fictitious 


meridian. 


Sidereal Day. 


Mean Day. 


A a 


V 


Side- 
real 
Day. 


A ^ a 


A Q* 


A Q a 


A Q<> 


1870. 


Var.in 
10 y. 


Diff. foi- 
10 d. 


1870. 


\ r ar. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

8 " 


1873. 

8 



















100 


+0 587 
0.498 


+7.12 

6.87i 


-0.904 
0.844 


—7.35 

7.38 






















s 






// 






200 


0.405 


6.56 


0.778 


7.35 


0, Jan. 


0.15 


—0.799 


+ 3 


— 62 


— 3.45 


+ 1 


— 48 


300 


0.308 


6.19 


0.706 


7.26 


10 


10.12 


0.849 


2 


36 


3.85 


+ 1 


40 


400 


0.208 


5.77 


0.628 


7.11 


20 


20.09 


0.871 


2 


- 10 


4.21 





30 








30 


30.06 


0.869 


2 


+ 16 


4.45 





18 




1866. 


1874. 


Feb. 9 


9.04 


0.838 


+ 1 


45 


4.56 





— 2 





+0.242 


+5.92 


—0.655 


—7.16 


19 

Mar. 1 

11 


19.01 

0.98 
10.95 


0.778 
0.686 
0.563 






— 1 


76 
107 
139 


4.49 
4.23 
3.77 







+ 16 
36 

57 


100 
200 
300 


0.141 

+0 039 
-0.G64 


5.46 
4.96 
4.41 


0.573 

0.487 
0.397 


6.97 
6.73 
6.42 


21 


20.93 


408 


1 


171 


3.09 





81 


400 


0.166 


3.82 


0.304 


6.07 


31 


30.90 


0.221 


2 


203 


2.16 





104 




1867. 


1875. 


100, Apr. 10 


9.87 


-0.002 


2 


234 


— 1.01 





125 





—0.131 


+4.02 


-0.336 


—6.19 


20 


19.85 


+0.245 


2 


260 


+ 0.34 


— 1 


145 


100 


0.233 


3.41 


0.241 


5.80 


30 


29. S2 


0.516 


3 


283 


1.88 




162 


200 


0.332 


2.77 


0.145 


5.37 


May 10 


9.79 


0.809 


3 


301 


3.56 




175 


300 


0.428 


2.11 


—0.047 


4.89 


20 


19.76 


1.116 


3 


312 


5.36 




183 


400 


0.521 


1.43 


+0.051 


4.37 


30 


29.74 


1.431 


4 


316 


7.20 




186 




1868 B. 


1876 B. 


June 9 


8.71 


1.746 


4 


313 


9.06 




184 








19 


18.68 


2.054 


3 


302 


10.87 


2 


177 





—0.490 


+1.66 


+0.018—4.55 


29 


28.65 


2.347 


3 


283 


12.59 




166 


100 


0.579 


0.97 


0.115 


4.01 


July 9 


8.63 


2.617 


3 


256 


14.17 


+ 1 


150 


200 
300 


0.664 
0.742 


+0.28 
—0.42 


0.212 

0.308 


3 43 

2.83 


200, 19 


18.60 


2.856 


2 


223 


15 58 




132 


400 


0.814 


1.11 


0.400 


2.20 


29 


28.57 


3.061 


2 


185 


16.80 




111 








Aug. 8 


7.54 


3.225 


1 


142 


17.79 


2 


87 




1869. 


1877. 


18 


17.52 


3.345 


— 1 


99 


18.54 


2 


64 





—0.790 


—0.88 


+0.369 


—2.40 


H8 


27.49 


3.422 





55 


19.07 


2 


41 


100 

200 


0.857 
0.916 


1.57 

2.24 


0.460 
0.547 


1.76 
1.10 


Sept. 7 


6.46 


3.455 





+ 12 


19 36 


2 


+ 18 


300 


0.968 


2.89 


0.629 


—0.44 


17 


16.44 


3.447 





— 27 


19.44 


2 


— 1 


400 


1.010 


3.51 


0.707 


-1-0.24 


27 


26.41 


3.403 


+ 1 


61 


19.35 


3 


18 








Oct. 7 


6.38 


3.327 


1 


90 


19.09 


3 


33 




1870. 


1878. 


17 


16.35 


3.226 


2 


111 


18.70 


3 


44 



























—0.997 


—3.30 


+0.681 


+0.01 


300, 27 


26.33 


3.108 


2 


125 


18.23 


3 


53 


100 


1.034 


3.90 


0.755 


0.68 


Nov. 6 


5.30 


2.978 


2 


132 


17.66 


3 


58 


200 


1.062 


4.47 


0.823 


1.35 


16 


15.27 


2.847 


2 


131 


17.08 


3 


60 


300 


1.080 


4.99 


0.884 


2.01 


26 


25.24 


2.719 


3 


124 


16.47 


2 


62 


400 


1.090 


5.48 


0.938 


2.66 


Dec. 6 


5.22 


2.601 


3 


111 


15.85 


3 


61 




1871. 


1879. 


16 

26 


15.19 

25.16 


2.499 
2.414 


3 
2 


94 
74 


15.25 
14.69 


3 
3 


58 
53 




100 


—1.088 
1.091 


—5.32 
5.77 


+0.921 
0.970 


+2.44 

3.07 


36 


35.14 


+2.351 


+ 2 


— 52 


+14.20 


+ 3 


— 46 


200 
300 
400 


1.085 
1.069 
1.045 


6.17 
6.52 
6.81 


1.011 
1.043 
1.067 


3.63 
4.26 

4.80 
















11 


* 


6 0, 


Feb. 1 


3.7. 








1872 B. 


1880 B. 




* 


6 Mean Sun, 


Feb. 2: 


2.3. 







100 

200 
300 


—1.054 
1.024 

0.986 
0.939 


—6.72 

6 97 
7.16 
7.30 


+1.060 

1.078 
1.087 
1.087 


+4.62 
5.14 
5.62 
6.05 


1 














400 


—0.884 


—7.37 


+ 1.078 


+6.43 

! 



236 



SPECIAL TABLES. 







TABLE XXIV.- 


7T Aqunrii. 






h m 

R.A. 22 18.6. 




t 

Dec! + 43. 






U PP 


er transit at fictitious meridian. 


Sidereal Day. 




A Q a 


A o<> 


Side- 
real 
Day. 


A oQ fl 


A oQ< 5 


A a a 


A Q d 


Mean Day. 
























1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 


1873. 

s 




















100 


+0.638 
0.556 


+6.93 
6.66 


—0.917 

0.866 


-7.30 
7.30 






















s 






// 






200 


0.470 


6.33 


0.808 


7.24 


0,Jan. 


0.15 


—0.745 


+ 2 


— 68 


— 0.83 


+ 1 


— 83 


300 


0.379 


5.94 


0.744 


7.12 


10 


10.12 


0.802 2 


46 


1.66 




81 


400 


0.285 


5.50 


0.673 6.94 


20 


20.10 


0.836 


2 


— 22 


2.45 




77 








30 


30.07 


0.845 


I 


+ 5 


3.18 




68 




1866. 


1874. 


Feb. 9 


9.04 


0.826 


+ 1 


33 


3.80 




56 





+0.317 +5.65 


— 0.698J-7.01 


19 
Mar. 1 


19.01 

0.99 


0.779 
0.701 



— 1 


62 
94 


4.28 
4.58 


+ 1 



40 
— 19 


100 

200 


0.221 
0.123 


5.17 
4.65 


0.624 6.79 
0.545 6.52 


11 


10.96 


0.590 


1 


127 


4.64 





+ 6 
31 


300 


+0.024 


4.09 


0.461 6.19 


21 


20.93 


0.446 


1 


161 


4.46 





400 


—0.075 


3.50 


0.374 5.82 


31 


30.91 


0.268 


2 


193 


4.01 





59 




1867. 


1875. 


100, Apr. 10 


9.88 


—0.060 


2 


223 


3.27 


— 1 


88 





—0.041 


+3.70 


—0.404 —5.95 


20 


19.85 


+0.178 


2 


252 


2.26 


1 


114 


100 


0.140 


3.08 


0.315 


5.54 


30 


29.82 


0.443 


3 


275 


— 0.99 


1 


140 


200 


0.238 


2.44 


0.223 


5.09 


May 10 


9.80 


0.727 


3 


294 


+ 0.53 


1 


162 


300 


0.333 


1.78 


0.130 


4.60 


20 


19.77 


1.030 


3 


308 


2.24 


2 


179 


400 


0.426 


1.10 


0.035 


4.06 


30 


29.74 


1.341 


3 


312 


4.09 


2 


192 




1868 B. 


1876 B. 


June 9 


8.71 


1.652 


3 


310 


6.07 


1 


199 








19 


18.69 


1.959 


3 


300 


8.07 


1 


200 





—0.395 


+1.32 


—0.067 


—4.25 


29 


28.66 


2.250 


3 


281 


10.06 


— 1 


197 


100 


0.485 


+0.64 


+0.02? 


3.69 


July 9 


8.63 


2.518 


2 


254 


11.99 





189 


200 


0.571 


—0.05 


0.122 


3.11 
















300 


0.651 


0.74 


0.2J5 


2.50 


200, 19 


18.61 


2.756 


2 


222 


13 83 





176 


400 


0.726 


1.42 


0.307 


1.87 


29 


28.58 


2.961 


1 


186 


15.50 





159 








Aug. 8 


7.55 


3.127 


1 


146 


17.01 





141 




1869. 


1877. 


18 


17.52 


3.252 


— 1 


103 


18.31 


+ 1 


119 





—0.701 


—1.20 


+0.276 


—2.08 


28 


27.49 


3.333 





59 


19.38 


1 


96 


100 
200 


0.772 

0.835 


1.87 
2.53 


0.366 
0.454 


1.43 

0.78 


Sept. 7 


6.47 


3.371 





+ 19 


20.23 


2 


74 


300 


0.892 


3.15 


0.538 


—0.11 


17 


16 44 


3.371 


+ 1 


— 20 


20.86 


2 


51 


400 


0.940 


3.75 


0.617 


+0.55 


27 


26.41 


3.333 


1 


55 


21.26 


2 


30 








Oct. 7 


6.39 


3.263 


1 


82 


21.46 


2 


+ JO 




1870. 


1878. 


17 


16.36 


3.170 


2 


103 


21.47 


3 


— .7 



























—0.924 


—3.55 


+0.591 


+0.33 


300, 27 


26.33 


3.058 


2 


119 


21.32 


3 


23 


100 


0.967 


4.13 


0.667 


0.99 


Nov. 6 


5.30 


2.934 


3 


126 


21.01 


3 


38 


200 


1.002 


4.68 


0.738 


1.65 


16 


15.28 


2.807 


3 


126 


20.56 


3 


52 


300 


1.027 


5.18 


0.803 


2.29 


26 


25.25 


2.683 


3 


123 


19.98 


3 


62 


400 


1.044 


5.63 


0.862 


2.92 


Dec. 6 


5.22 


2.563 


3 


113 


19.32 


4 


70 




1871. 


1870. 


16 
26 
36 


15.20 
25.17 
35.14 


2.458 

2.367 

+2.297 


2 

2 


98 

81 

— 60 


18.59 
17.81 

+16.99 


4 

4 

+ 3 


76 

80 
— 82 



100 
200 


—1.040 
1.051 
1.053 


—5.49 
5.91 

6.28 


+0.843 
0.897 
0.943 


+2.71 
3.33 
3.91 
















300 

400 


1.046 
1.030 


6.60 
6.86 


0.982 
J. 013 


4.47 

4.99 
































1872 B. 


1880 B. 




* 


5 0, 


Feb. 20 


.D. 














* 


3 Mean Sun, 


Feb. 24 


.5. 







100 
200 
300 


—1.036 
1.015 

0.985 
0.946 


—6.78 
7.00 
7.16 
7.26 


+1.003 
1.028 
1.045 
1.053 


+4.82 
5.31 
5.76 
6.16 


















400 


—0.901 


—7.30 


+1.051 


+6.52 

1 



SPECIAL TABLES. 



237 









TABLE XXIV.- 


-n Aquarii. 








h n 
R.A. 22 28.7. 




o / 

Dec. — 47. 








Upper transit at fictitious 


meridian. 








A a 






A d 




Side- 
real 
Day. 


A ^ a 


A Q<> 


A Q a 


A a<> 




Sidereal Day. 


Mean Day. 
















































1870. 


Var. in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. foi- 
10 d. 




1865. 

s " 


1873. 

s 





















100 


+0.629 
0.546 


+6.71 
6.40 


—0.914 

0.862 


—7.22 
7.19 


























8 






a 






200 


0.459 


6.05 


0.803 


7.10 




0,Jan. 


0.16 


—0.695 


+ 3 


— 73 


— 1.30 


4- l 


— 75 


300 


0.367 


5.63 


0.737 


6.94 




10 


10.13 


0.758 


2 


52 


2.04 




73 


400 


0.272 


5.17 


0.665 


6.74 




20 


20.10 


0.799 


2 


29 


2.75 




68 










30 


30.08 


0.816 


2 


— 4 


3.39 




59 




1866. 


1871. 




Feb. 9 


9.05 


0.806 


+ 1 


+ 24 


3.91 




46 





+0.304 


+5.33 


—0.690 


—6.81 




19 


19.02 


0.768 





53 


4.29 




29 


100 


0.207 


4.84 


0.615 


6.57 




Mar. 1 


0.99 


0.699 





84 


4.48 


+ 1 


— 8 


200 


0.109 


4.30 


0.534 


6.27 




21 


10.97 
20.94 


0.599 
0.464 


— 1 

1 


117 
152 


4.44 
4.17 


+ 15 

40 


300 

400 


+0.010 
—0.090 


3.72 
3.12 


0.450 
0.362 


5.92 
5.52 




31 


30.91 


0.295 


2 


185 


3.63 


— 1 


67 




1867. 


1875. 




100, Apr. 10 


9.88 


—0.094 


2 


216 


2.83 




94 





—0.057 


+3.32 


—0.392 


—5.66 | 




20 


19.86 


+0.137 


2 


245 


1.75 




121 


100 


0.156 


2.70 


0.302 


5.23 




30 


29.83 


0.395 


2 


272 


— 0.41 




144 


200 


0.254 


2.05 


0.210 


4.76 




May 10 


9.80 


0.679 


2 


293 


+ 1.13 




164 


300 


0.349 


1.38 


0.116 


4.25 




20 


19.78 


0.978 


2 


306 


2.86 




181 


400 


0.442 


0.71 


0.021 


3.70 




30 


29.75 


1.283 


3 


313 


4.74 




192 




1868 B. 


1876 B. 




June 9 


8.72 


1.602 


3 


312 


6.68 




198 










19 


18.69 


1.910 


2 


303 


8.68 




200 





—0.411 


+0.93 


—0.053—3.89 




29 


28.67 


2.206 


2 


287 


10.65 




194 


100 


0.501 


+0.25 


+0.042 


3.33 




July 9 


8.64 


2.481 


2 


262 


12.55 


— 1 


185 


200 
300 


0.58ft 
0.668 


—0.43 
1.11 


0.137 
0.231 


2.73 
2.12 




200, 19 


18.61 


2.728 


2 


231 


14.35 





172 


400 


0.740 1.77 


0.323 


1.48 




29 


28.59 


2.941 


1 


195 


15.97 





153 










Aug. 8 


7.56 


3.117 


— 1 


155 


17.40 





133 




1869. 


1877. 




18 


17.53 


3.251 





113 


18.63 





112 





—0.716 


— 1.56 


+0.292 
0.382 


—1.70 




28 


27.50 


3.343 





70 


19.64 


-fl 


89 


100 


0.786 


2.21 


1.05 




















200 


0.848 


2.85 


0.469 


—0.39 




Sept. 7 


6.48 


3.392 





+ 29 


20.41 


1 


66 


300 


0.904 


3.46 


0.553 


+0.26 




17 


16.45 


3.401 


+ 1 


— 10 


20.96 


2 


44 


400 


0.951 


4.03 


0.632 


0.92 




27 


26.42 


3.373 


1 


45 


21.29 


2 


22 










Oct. 7 


6.39 


3.313 


2 


75 


21.40 


3 


+ 2 




1876. 


1878. 




17 


16.37 


3.226 


2 


97 


21.34 


3 


— 13 





-0.936—3.84 


+0.606 +0.69 




300, 27 


26.34 


3.121 


2 


112 


21.14 


3 


29 


! 100 


0.978 


4.40 


0.681 


1.35 




Nov. 6 


5.31 


3.004 


2 


122 


20.76 


3 


43 


1 200 


1.011 


4.9) 


0.752 


1.99 




16 


15.28 


2.879 


2 


125 


20.29 


3 


52 


•■ 300 


1.036 


5.38 


0.816 


2.62 




26 


25.26 


2.755 


3 


121 


19.72 


3 


62 


! 400 


1.051 


5.80 


0.874 


3.23 




Dec. 6 


5.23 


2.638 


3 


113 


19.06 


3 


69 


i 


1871. 


1879. 




16 

26 
36 


15.20 
25.18 
35.15 


2.530 

2.438 

+£.362 


3 
3 

+ 3 


100 

84 

— 66 


18.35 
17.62 

+ 16.85 


3 
3 

+ 3 


72 

75 
— 75 



100 
200 


—1.047 
1.057 
1.057 


—5.67 
6.06 
6.40 


+0.855 
0.908 
0.954 


+3.03 
3.62 
4.18 




















300 
1 400 


1.049 
1.032 


6.68 
6.90 


0.992 
1.021 


4.71 

5.20 




































1872 B. 


I88OB. 






* 


5 0, 


Feb. 2^ 


.6. 
















* 


5 Mean Sun, 


Feb. 2? 


.0. 









—1.038 


—6 83 


+1.012+5.04 


















100 


1.015 


7.02 


1.036 


5.50 j 


















200 


0.984 


7.15 


1.051 


5.92 


















300 


0.944 


7.21 


1.058 


6.29 ! 
















400 


—0.897 


—7.22 


+ 1.05^+6.61 j 



238 



SPECIAL TABLES. 



i 


TABLE XXIV.-* 226 Cephei (B). 




h m o / . 
E.A. 22 30.0. Dec." + 75 33. 


Upper transit at fictitious meridian. 




1 




Side- 












j A o a 


A o* 


real 


A ^« 


A ^ 


A Q° 


A Q d 


Sidereal Day. 






Day. 










MeanDay. 






















1ST©. 


Var. in 
10 y. 


Diff. for 
lUd. 


IS70. 


Var. in Diff. for 
10 y. ! 10 d. 




1865. 

s 


1873. 
s 














! 



100 


+2.011 
2.097 


+6.6fc 
6.37 


— 1.395 
1.547 


—7.21 

7.18 






















s 






// 


. 




200 


2.165 


6.00 


1.686 


7.08 


0,Jan. 


0.16 


—2.739 


— 6 


—721 


+16.80 


+ 1 


—150 


300 


2.215 


5.5b 


1.811 


6.92 


10 


10.13 


3.419 


9 


635 


15.03 


2 


203 


400 


2.245 5.12 


1.920 


6.71 


20 


20.10 


4.001 


12 


525 


1277 


2 


248 








30 


30.08 


4.463 


14 


396 


10.09 


2 


284 




1866. 


1874. 


Feb. 9 


9.05 


4.786 


16 


249 


7.12 


2 


309 



























+2.237 


+5.2b 


—1.885 


—6.79 


19 


19.02 


4.957 


18 


— 91 


3.96 


2 


321 


100 


2.254 


4.78 


1 984 


6.54 


Mar. 1 


1.00 


4.967 


19 


+ 72 


+ 0.75 


2 


320 


200 


2.252 


4.21 


2.066 


6.24 


11 


10.97 


4.813 


19 


235 


— 2.38 


2 


305 


300 


2.230 


3.67 


2.132 


5.b8 


21 


20.94 


4.499 


19 


391 


5.32 


2 


279 


400 


2.188 


3.06 


2.179 


5.48 


31 


30.91 


4.035 


18 


535 


7.93 


2 


242 




1867. 


1875. 


100, Apr. 10 


9.89 


3.434 


17 


661 


10.13 


2 


196 





+2.207 


+3.27 


-2.165—5.62 


20 


19.86 


2.719 


15 


765 


11.84 


1 


144 


100 


2.151 


2.64 


2.201 


5.19 


30 


29.83 


1.913 


13 


843 


12.99 


1 


86 


200 


2.078 


1.99 


2.218 


4.72 


May 10 


9.80 


1.042 


10 


894 


13.55 


+ 1 


— 26 


300 


1.986 


l.sa 


2.218 


4.21 


20 


19.78 


—0.134 


7 


917 


13.50 





+ 35 


400 


1.878 


0.65 


2.199 


3.66 


30 


29.75 


+0.783 


4 


912 


12.85 





94 




1868 B. 


1876 B. 


June 9 


8.72 


1.681 


— 1 


881 


11.63 





151 








19 


18.70 


2.536 


+ 2 


824 


9.86 


— 1 


203 





+1.917 


+0.88 


—2.207;— 3.85 


29 


28.67 


3.322 


5 


746 


7.59 


1 


249 


100 


1.7S8 


+0.20 


2.177 


3.28 


July 9 


8.64 


4.022 


7 


649 


4.90 


1 


289 


200 
300 


1.662 
1.514 


—0.48 
1.16 


2.127 
2.061 


2.69 
2.07 


200, 19 


18.61 


4.616 


10 


537 


— 1.84 


1 


322 


400 


1.352 


1.82 


1.977 1.44 


29 


28.59 


5.091 


12 


413 


+ 1.51 


2 


347 








Aug. 8 


7.56 


5.439 


13 


281 


5.08 


2 


365 




1869. 


1877. 


18 
28 


17.53 

27.50 


5.652 

5.728 


14 
15 


144 

+ 7 


8.79 
12.56 


2 
2 


375 

378 



100 
200 


+1.408 
1.239 
1.059 


—1.60 
2.26 

2.89 


-2.007 
1.913 

1.802 


—1.65 

1.01 

—0.36 


Sept. 7 


6.48 


5.667 


15 


-128 


16.32 


2 


372 


300 


0.870 


3.49 


1.677 


+0.30 
0.96 


17 


16.45 


5.473 


15 


260 


19.98 


1 


359 


400 


0.674 


4.07 


1.537 


27 


26.42 


5.153 


14 


381 


23.47 


1 


338 








Oct. 7 


6.40 


4.715 


13 


493 


26.71 


1 


309 




1870. 


1878. 


17 


16.37 


4.170 


12 


593 


29.63 


1 


274 



























+0.741 


—3.88 


-1.586 


+0.73 


300, 27 


26.34 


3.534 


10 


678 


32.17 


— 1 


231 


100 


0.541 


4.43 


1.43- 


1.39 


Nov. 6 


5.31 


2.821 


8 


745 


34.24 





183 


200 


0.338 


4.94 


1.277 


2.03 


16 


15.29 


2.050 


6 


794 


35.80 





128 


300 


+0.132 


5.41 


MOE 


2.65 


26 


25.26 


1.240 


+ 3 


822 


36.79 


+ 1 


70 


400 


—0.075 


5 83 


0.924 


3.26 


Dec. 6 


5.23 


+0.413 





827 


37.19 


1 


+ 9 




1871. 


1870. 


16 

26 
36 


15.20 
25.18 
35.15 


—0.406 

1.192 

—1.921 


— 4 

7 
—10 


807 

762 

—692 


36.97 

36.14 

+34.72 


2 
2 


— 53 

114 

—170 



100 
200 


—0.006 
0.212 
0.416 


-5.69 
6.08 
6.41 


—0.986 
0.799 
0.605 


+3.06 
3.65 
4 21 














300 


0.616 


6.69 


0.406 


4.73 






400 


0.810 


6.91 


0.202 


5.22 








1872 B. 


1SSO B. 




# 6 0, Feb. 23 9. 










* 6 Mean Sun, Feb. 27.4. 





_0.745-6.84 


—0.271+5.06 




>jc 8 Mean Sun, Aug. 29.0. 


100 


0.934 7.02 


—0.066 5.52 






200 


1.116 7.15 


+0.141 


5.94 






300 


1.287 7.21 


0.347 


6.30 






400 


—1.4481+7.21 


-1-0.650 


+6.62 



SPECIAL TABLES. 



239 









TABLE XXIV. 


-f Pegasi. 








h m 
R.A. 23 35.0. 




/ 

Dec. + 10 9. 








Upper transit at fictitious 


meridian. 




Sidereal Day. 


Mean Day. 


A G a 


V 


JSide- 
! real 
pay. 


■ A Q<* 


A ^ 


A Q a 


A Q rf 




1870. 


Var.in 
10 y. 


Diff. for 
10 d. 


1870. 


Var.in 
10 y. 


Diff. for 
10 d. 




1865. 

B " 


1S73. 

8 " 





















100 


+0.699 
0.625 


+6.56 
6.24 


— 0.94C 

0.898 


—7.17 
7.12 


























8 






" 






200 


0.545 


5.86 


0.848 


7.00 




0, Jan. 


0.16 


—0.669 


+ 2 


— 83 


+ 2.04 


+ 2 


—105 


300 


0.460 


5.43 


0.792 


6.83 




10 


10.14 


0.743 


2 


64 


+ 0.95 


2 


113 


400 


0.371 


4.96 


0.729 


6.60 




20 


20.11 


0.797 


2 


41 


— 0.21 


2 


117 










30 


30.08 


0.825 


I 


— 16 


1.38 


2 


115 




I860. 


1874. 




Feb. 9 


9.05 


0.828 


+ 1 


+ 12 


2.49 


2 


106 





























+0.401 


+5.12 


—0.751 


—6.68 




19 


19.03 


0.801 





43 


3.49 


I 


93 


100 


0.310 


4.62 


0.684 


6.42 




Mar. I 


1.00 


0.742 


— 1 


75 


4.34 


1 


74 


200 


0.216 


4.07 


0.61 v 6.10 




11 


10.97 


0.650 


1 


109 


4.96 


+ 1 



50 


300 


0.120 


3.49 


0.535 5.74 




21 


20.94 


0.523 


2 


145 


5.32 


— 21 


400 


0.023 


2.86 


0.4541 5.33 




31 


30.92 


0.360 


2 


180 


5.37 





+ 11 




1867. 


1875. 




100, Apr. 10 


9.89 


—0.164 


2 


213 


5.10 





44 





+0.056 


+3.08 


—0.481 


—5.47 




20 


19.86 


-j-0.066 


2 


245 


4.49 





78 


100 


—0.041 


2.45 


0.397 


5.03 




30 


29.84 


0.325 


2 


271 


3.55 


— 1 


111 


200 


0.138 


1.80 


0.310 


4.55 




May 10 


9.81 


0.607 


3 


292 


2.29 


1 


141 


300 


0.234 


1.14 


0.221 


4 03 




20 


19.78 


0.907 


3 


308 


— 0.75 


1 


167 


400 


0.3*7 


0.46 


0.129 


3.47 




30 


29.75 


1.220 


3 


315 


+ 1.03 


1 


189 




1868 B. 


1S76B. 




June 9 


8.73 


1.534 


3 


313 


3.01 


1 


206 










J9 


18.70 


1.843 


2 


305 


5.13 


2 


217 


c 


-0.295 


+0.69 


—0.160 


—3.66 




29 


28.67 


2.141 


2 


289 


7.33 


2 


222 


100 


0.387 


+0.01 


-0.068 


3.09 




July 9 


8.64 


2.418 


2 


264 


9.56 


2 


222 


200 
300 


0.475 

0.558 


—0.67 
1.34 


+0.024 
0.117 


2.49 

1.87 




200, 19 


18.62 


2.667 


2 


234 


11.75 


1 


216 


400 


0.637 


2.00 


0.209 


1.24 




29 


28.59 


2.884 


1 


198 


13.86 


1 


206 










Aug. 8 


7.56 


3.061 


— 1 


157 


15.86 


— 1 


191 




1869. 


1877. 




18 


17 53 


3.197 





115 


17.68 





173 





-0.611 


— 1.7S 


+0.178—1.45 
0.268; 0.81 




28 


27.51 


3.291 





73 


19.32 





153 


100 


0.686 


2.43 




Sept. 7 


6.48 


3.343 


+ 1 


+ 31 


20.74 





131 


200 
300 


0.755 
0.8J7 


3.05 
3.64 


0.357—0.16 
0.443+0.50 
0.C25; 1.15 




17 


16.45 


3.354 


1 


— 8 


21.93 





107 


400 


0.872] 4.20 




27 


26.43 


3.329 


2 


41 


22.89 


+ 1 


83 










Oct. 7 


6.40 


3.273 


2 


72 


23.60 


2 


59 




1870. 


1878. 




17 


16.37 


3.187 


2 


96 


24.07 


2 


35 





























—0.854—4.02 


+0.498 


+0.93 




300, 27 


26.34 


3.083 


3 


112 


24.31 


2 


-f- 12 


100 


0.904 


4.56 


0.577 


1.57 




Nov. 6 


5 32 


2.965 


3 


122 


24.32 


2 


— 10 


200 


0.946 


5.05 


0.65* 


2 21 




16 


15.29 


2.841 


3 


127 


24.11 


2 


31 


300 


0.979 


5.50 


0.722 


2.82 




2(5 


25.26 


2.713 


3 


126 


23.70 


3 


51 


40b 


1.004 


5.91 


0.780 


3.42 




Dec. 6 


5.S3 


2.591 


3 


119 


23.10 


3 


69 




1871. 


1879. 




16 

26 
3G 


15.21 

25. J 8 
35.15 


2.477 

2.374 

+2.2r9 


3 

3 
+ 3 


109 
95 

— 76 


22.32 
21.38 

+20.34 


3 

4 

+ 4 


86 
99 i 
-108 



100 
200 
300 


—0.997 
1.016 

1.027 
1.029 


—5.78 
6.15 
6.46 

6 72 


+0 765' 
0.825 
0.878 
0.924 


+3.22 
3.80 
4.34 
4.86 
5.33 


















400 


1.022 


6.92 


0^962 




















1873 B. 


18SOB. 






* c 


5 0, 3 


Feb. 25 


2. 
















* c 


$ Mean Sun, . 


Feb. 28 


6." 









—1.026 


-6.86 


+0.950+5.17 
















! 


100 


1.013 


7.03 


0.983 


5.62 


















200 


0.992 


7.13 


1.008 


6.02 
















I 


300 


0.963 


7.18 


1.024 6.36 I 


















400 

! 


—0.926—7.16 


+ 1.032+1). 66 





240 



SPECIAL TABLES. 



TABLE XXIV.-' i Cephei. 



h in 

K.A. 22 45.1. 



o / 

Dec. +65 31. 



Upper transit at fictitious meridian. 



Sidereal Day. 



Mean Day 



0, Jan. 

10 

20 

30 

Feb. 9 

19 
Mar. 1 
11 
21 
31 

100, Apr 10 

20 

30 

May 10 

20 

30 

June 9 

19 

29 

July 9 



200, 



19 

29 
Aug. 8 

18 
28 

Sept. 7 
17 
27 

Oct. 7 
17 



300, 27 

Nov. 6 

16 

26 

Dec. 6 

16 
26 
36 



0.17 
10.14 
20.12 
30.09 

9.06 

19.03 
1.01 

10.98 
20.95 
30.92 

9.90 
19.87 
29.84 

9.82 
19.79 

29.76 

8.73 
18.71 

28.68 

8.65 

18.02 
28 60 
7.57 
17.54 
27.52 

6.49 
16.46 
26.43 

6.40 
16.38 

26.35 

5.32 

15.30 

25.27 

5.24 

15.21 
25.19 
35.16 



'Q a 



1870. 



-1.451 

1.829 
2.156 
2.419 
2.606 

2.709 
2.719 
2.634 
2.453 
2.179 

1.820 
1.384 

0.886 
-0.339 
f0.239 

0.834 
1.424 
1.997 
2.535 
3.025 

3.455 
3.814 
4.096 
4.296 
4.411 

4.441 

4.389 

4.258 
4.055 
3.786 

3.460 
3.088 
2.679 
2.245 
1.799 

1.354 

0.923 

+0.520 



Var.in 
10 y. 




1 
2 
4 

5 
6 

7 
7 
7 

7 
7 
7 
6 
5 

3 
3 

2 

f 1 

2 
4 
5 
6 

7 



9 
9 
9 

9 
9 
9 

8 

7 

6 

5 

+ 4 



Diff. foi- 
10 d, 



-399 
355 
297 
227 
146 

— 57 
+ 37 

133 
228 
318 

399 
469 
525 

565 

589 

595 

584 
558 
517 
462 

396 
322 
242 

158 
+ 72 

— 11 

92 
168 

238 
299 

351 
393 
423 

442 

448 

441 

419 

—384 



A Q 6 



1870. 



Var.in 
10 y. 



+16.13 
14.43 
12.26 

9.70 

6.84 

3.82 

+ 0.74 

- 2.27 
5.08 
7.58 

9.67 
11.28 
12.36 

12.85 
12.76 

12.08 

10.83 

9.06 

6.81 

4.14 

- 1.12 
+ 2.18 

5.68 

9.31 

12.99 

16.64 
20.20 
23.58 
26.71 
29.53 

31.97 
33.96 
35.46 
36.41 

36.79 

36.57 

35.77 

+34.41 



Diff foi- 
10 d. 



3 

3 
4 
4 

4 
4 
3 
3 
3 

2 
2 
1 

+ 1 




1 

1 

2 

2 



+ 



2 

2 

+ 3 



-144 
194 

238 
273 
296 

307 
306 
293 
267 
231 

187 
135 
79 

— 20 
+ 39 

97 
152 

202 
247 
286 

317 
341 

358 
366 
368 

362 
348 
327 
299 
264 

223 
175 
123 

67 
+ 9 

— 51 
109 

—163 



Side, 
real 
Day, 



* 6 0, Feb. 27.9. 
>j< 6 Mean Sun, Mar. 3.2. 

# 8 Mean Sun, Sept. 1.9. 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 

400 




100 

200 
300 
400 



(! 
100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 




100 
200 
300 
400 



+1.475 
1.485 
1.483 
1.467 
1.438 



A ^ 



1865. 



+6.31 
5.96 
5.56 
5.11 
4.61 



I860. 



+1.449 
1.412 
1.363 
1.302 
1.229 



+4.78 
4.26 
3.70 
3.10 
2.48 



1867. 



+1.255+2.69 



1.175 

1.086 
0.986 

0.878 



2. Of 
1.40 
0.73 
0.06 



1868 B. 



+0.915 

0.802 
0.682 
0.557 
0.427 



+0.29 

— 0.3i 

1.05 

1.71 

2.35 



1869. 



+0.471 

0.338 

0.203 

+0.067 

—0.071 



>Cl a 



A Q<? 



-2.13 
2.76 
3.36 
3.93 
4.47 



1870. 



—0.024 
0.161 
0.295 
427 
0.555 



-4.29 
4.8U 
5.27 
5.69 
6.06 



1873. 



■1.256 
1.319 
1.371 
1.411 

1.44(; 



—7.08 
6.99 
6.84 
6.64 
6.38 



1874. 



•1.431 

1.452 
1.401 
1.458 
1.443 



-6.47 
6 18 
5.84 
5.44 
5.01 



1875. 



-1.449 
1.426 
1.391 
1.345 

1.288 



-5.16 
4.70 
4.19 
3.66 
3.10 



1876 B. 



■1.308 
1.244 
1.169 

1.085 



-3.29 
2.71 

2.10 

1.48 



0.992; 0.85 
1877. 

-1.0241—1.06 

0.925-0.42 
0.8 18 +0.22 



0.70C 
0.58: 



0.87 
1.51 



1871. 

-0.512—5.94 

0.637J 6.28; 
0.756! 6.56, 
0.868J 6.78, 
0.973J 6.95: 

1872 B. ! 

-0.9381—6.90 
l.037| 7.03 
1.127 7.10 
1.208| 7.10 

-1.2781— 7.05 



1878. 

-0.6261+1.29 
0.503 1.92 
0.375 2.54 
0.244 3.14 
0.111 3.71 

1879. 

—0.156+3.52 

-0.021, 4.07 

+0.114! 4.60 

. 0.248| 5.08 

0.381J 5.52 

1880 B. 



+0.336 
0.467 
0.595 
0.717 



+5.38 
5.79 
6.16 
6.47 



+0.835+6.73 



SPECIAL TABLES. 



241 







TABLE XXIV.- 


-a Aquarii. 






h n 
R.A. 22 45.8. 




o / 

Dec. — 8 10. 






Upper transit at fictitious 


meridian. 






A Q a 






A d 




Side- 
real 


A Q a 


A tt d 


1 
A P a | A <^ 


Sidereal Day. 


MeanDay. 












Day. 






i 


1870. 


Var.in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1S65. 

8 


1873. 

8 " 



















100 


+0.578 
0.490 


+6.30 
5.94 


—0.893 
0.834 


—7.07 
6.98 






















s 






// 






200 


0.397 


5.54 


0.768 


6.83 


0,Jan. 


0.17 


-0.618 


+ 3 


— 81 


— 3.66 


+ 1 


— 50 


300 


0.301 


5.09 


0.696 


6.62 


10 


10.14 


0.690 


2 


63 


4.12 


1 


41 


400 


0.202 


4.59 


0.618 


6.36 


20 


20.12 


0.743 


2 


41 


4.47 


1 


29 








30 


30.09 


0.772 


2 


- 16 


4.70 


1 


— 15 




1866. 


1874. 


Feb. 9 


9.06 


0.775 


1 


+ 9 


4.77 


+ 1 


+ 1 





+0.235 


+4.76 


—0.645 


—6.45 


19 


19.03 


0.753 


+ 1 



37 


4.68 





20 


100 


0.135 


4.23 


0.564 


6.16 


Mar. 1 


1.01 


0.700 


69 


4.37 





41 


200 


+0.034 


3.67 


0.479 


5.81 


11 


10.98 


0,615 





102 


3.86 





63 


300 


—0.068 


3.08 


0.390 


5.42 


21 


20.95 


0.495 


— 1 


136 


3.12 


— 1 


85 


400 


0.169 


2.45 


0.297 


4.98 


31 


30.92 


0.342 


1 


171 


2.15 


1 


108 




1867. 


1S75. 


100, Apr. 10 


9.90 


-0.154 


2 


206 


— 0.95 


1 


131 





—0.135 


+2.66 


—0.329—5.14 


20 


19.87 


+0.068 


2 


237 


+ 0.46 


1 


151 


100 


0.236 


2.03 


0.235 


4.67 


30 


29.84 


0.318 


2 


264 


2.06 


2 


168 


200 


0.334 


1.37 


0.139 


4.17 


May 10 


9.82 


0.594 


2 


289 


3.81 


2 


182 


300 


0.429 


0.71 


—0.042 


3.63 


20 


19.79 


0.893 


3 


306 


5.68 


1 


191 


400 


0.520 


0.04 


+0.055 3.07 


30 


29.76 


1.203 


3 


314 


7.62 


1 


196 




1868 B. 


1876 B. 


June 9 


8.73 


1.519 


3 


318 


9.58 


1 


194 








19 


18.71 


1.836 


3 


313 


11.49 


— 1 


189 





-0.490 


+0.26 


+0.022 


-3.26 


29 


28.68 


2.142 


3 


297 


13.34 





179 


100 


0.578 


—0.41 


0.119 


2.68 


July 9 


8.65 


2.428 


3 


275 


15.05 





162 


200 
300 


661 
0.739 


1.08 
1.73 


0.215 
0.309 


2.08 
1.45 


200, 19 


18.62 


2.690 


3 


248 


16.57 





142 


400 


0.809 


2.37 


0.40J 


0.82 


29 


28.60 


2.922 


2 


213 


17.89 





121 








Aug. 8 


7.57 


3.115 


2 


174 


18.98 





97 




1869. 


1877. 


18 


17.54 


3.269 


2 


132 


19.83 


+ 1 


71 





—0.786—2.16 


+0.370 


—1.03 


28 


27.51 


3.379 


1 


89 


20.41 


1 


46 


100 
200 


0.852 
0.911 


2.79 
3.39 


0.460 
0.546 


—0.39 

+0.26 

0.90 


Sept. 7 


6.49 


3.447 


— 1 


47 


20.76 


1 


23 


300 


0.961 


3.96 


0.627 


17 


16.46 


3.474 





+ 7 


20.88 


2 


+ 1 


400 


1.003! 4.49 


0,704 


1.54 


27 


26.43 


3 463 





— 29 


20.78 


2 


— 20 








Oct. 7 


6.41 


3.417 


+ J 


60 


20.50 


3 


36 




1870. 


1878. 


17 


16.38 


3.344 


1 


86 


20.08 


4 


48 



























—0.990 


—4.32 


+0.679 


+1.33 


300, 27 


26.35 


3.248 


2 


105 


19 56 


4 


58 


100 


1.026 


4.82 


0.752 


1.96 


Nov. 6 


5.32 


3.137 


2 


116 


18.94 


3 


65 


200 


1.053 


5.29 


0.819 


2.57 


16 


15.30 


3.018 


2 


122 


18.28 


3 


67 


300 


1.071 


5.70 


0.879 


3.17 


26 


25.27 


2.895 


3 


121 


17.61 


3 


67 


400 


1.080 


6.07 


0.932 


3.74 


Dee. 6 


5.24 


2.777 


3 


114 


16.94 


3 


65 




1871. 


1879. 


16 
26 
35 


15.21 
25.19 
35.16 


2.667 

2.567 

+2.484 


3 
3 

+ 3 


105 

92 

— 74 


16.31 

15.73 

+15.22 


3 
2 

+ 2 


61 

55 

— 47 



100 
200 


—1.078 
1.081 
1.074 


—5.95 
6.29 
6.56 


+0.915 
0.963 
1.003 


+3.55 
4.10 
4.62 
















300 
400 


1.059 
1.035 


6.79 
6.95 


1.035 
1.059 


5.10 
5.54 
































1872 B. 


1880 B. 




* ( 


5 0, 


Feb. 2£ 


J.l. 














* c 


5 Mean Sun, 


Mar. { 


U. 









—1.044 


—6.90 


+1.052+5.40 
















100 


1.013 


7.03 


1.069 


5.81 
















200 


0.975 


7.09 


1.078 


6.17 
















300 


0.928 


7.10 


1.077 


6.48 














400—0.874 


—7.05 


+1.067 +6.74 



16 



24:2 



SPECIAL TABLES. 











TABLE XXIV- 


•* o Cephei. 










h m 
R.A. 23 13.3. 


O 1 

Derf. + 67 24. 






Upper transit at fictitious meridian. 






Sidereal Day. 


Mean Day. 




*© a 




A ,5 


Side- 
real 
Day. 


A a a 


A Q<5 


A Q a 


*n s 






1870. 


Var.in 
10 y. 


Diff. foi- 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

8 " 























100 


+1.6711+5.56 
1.682 5.13 


—1.424—6.74 
1.495! 6.55 






























s 






// 






200 


1.679 4.66 


1.554, 6.31 






0, Jan. 


0.19 


—1.164 


+ 4 


—457 


+17.31 


+ 2 


—104 


300 


1.661 4.15 


1.600 6.02 






10 


10.16 


1.605 


+ 2 


422 


15.99 


3 


159 


400 


1.628| 3.60 


1.632 5.68 






20 


20.14 


2.002 





371 


14.16 


3 


208 












30 


30.11 


2.340 


— 1 


304 


11.87 


4 


248 




1866. 


1874. 






Feb. 9 


9.08 


2.606 


3 


224 


9.22 


4 


279 





+1.641 


+3.79 


—1.622-5.80 






19 


19.05 


2.785 


4 


133 


6.33 


4 


298 


100 


1.598 


3.22 


1.646 


5.43 






Mar. 1 


1.03 


2.868 


6 


— 33 


3.31 


4 


305 


200 


1.542 


2.62 


1.655 


5.02 






11 
21 


11.00 
20.97 


2.849 

2.725 


7 
8 


+ 72 
177 


+ 0.28 
— 2.63 


4 

4 


299 
281 


300 
400 


1.473 
1.390 


2.00 
1.36 


1.651 
1.634 


4.56 
4.07 






31 


30.94 


2.497 


8 


279 


5.31 


3 


252 




1867. 


1875. 






100, Apr. 10 


9.92 


2.169 


8 


374 


7.64 


3 


213 





+1.419 


+1.58 


—1.641 


-4.24 






20 


19.89 


1.753 


8 


458 


9.55 


3 


167 


100 


1.329 


0.93 


1.615 


3.72 






30 


29.86 


1.258 


8 


528 


10.95 


2 


114 


200 


1.227 


+0.27 


1.575 


3.18 






May 10 


9.84 


0.701 


7 


583 


1 1.82 


1 


— 58 


300 


1.114 


—0.38 


1.522 


2.61 






20 


19.81 


—0.098 


6 


620 


12.11 


+ 1 





400 


0.991 


1.04 


1.457 


2.02 






30 


29.78 


+0.532 


5 


638 


11.81 





+ 58 




1868 B. 


1876 B. 






June 9 


8.75 


1.172 


4 


639 


10.95 


— 1 


114 












19 


18.73 


1.804 


2 


622 


9.54 


1 


167 





+1.034 


—0.82 


—1.480 


—2.22 






29 


28.70 


2.410 


— 1 


587 


7.62 


2 


215 


100 


0.906 


1.47 


1.407 


1.62 






July 9 


8.67 


2.974 


+ 1 


539 


5.25 


2 


258 


200 
300 


0.770 
0.627 


2.10 
2.72 


1.322 
1.226 


1.00 
—0.37 






200, 19 


18.64 


3.483 


2 


477 


- 2.48 


3 


294 


400 


0.480 


3.30 


1.120 


+0.26 






29 


28 62 


3.924 


4 


405 


+ 0.62 


3 


324 












Aug. 8 


7.59 


4.290 


5 


326 


3.98 


3 


346 




1869. 


1877. 






18 


17.56 


4.574 


7 


240 


7.52 


3 


361 





+0.530 


-3.11 


—1.157 


+0.04 






28 


27.54 


4.770 


8 


152 


11.17 


3 


368 


100 
200 


0.380 
0.229 


3.68 
4.22 


1.045 
0.924 


0.67 
1.29 






Sept. 7 


6.51 


4.878 


9 


+ 64 


14.86 


3 


368 


300 


+0.072 


4.71 


0.795 


1.91 






17 


16.48 


4.897 


10 


— 23 


18.51 


3 


361 


400 


—0.084 


5.17 


0.659 


2.51 






27 


26.45 


4.831 


11 


108 


22.05 


3 


345 












Oct. 7 


6.42 


4.684 


12 


186 


25.39 


3 


323 




1870. 


1878. 






17 


16.40 


4.461 


12 


258 


28.48 


2 


293 































—0.031 


—5.02 


—0.706 


+2.31 






300, 27 


26.37 


4.170 


12 


322 


31.23 


2 


256 


100 


0.186 


5.45 


0.566 


2.90 






Nov. 6 


5.34 


3.820 


12 


377 


33.57 


1 


213 


200 


0.338 


5.83 


0.421 


3.46 






16 


15.32 


3.420 


12 


421 


35.46 


— 1 


163 


300 


0.488 


6.15 


0.272 


4.00 






26 


25.29 


2.981 


12 


454 


36.83 





109 


400 


0.632 


6.43 


0.121 


4.50 






Dec. 6 


5.26 


2.517 


11 


474 


37.63 


+ 1 


+ 52 




1871. 


1879. 






16 
26 
36 


15.23 
25.21 
35.18 


2.039 

1.562 

+1.103 


10 
9 

+ 7 


480 

471 

—446 


37.85 

37.47 

+36.51 


2 

2 

+ 3 


— 8 

68 

—125 



100 
200 
300 

400 


—0.584 
0.725 
0.860 
0.987 
1.105 


—6.34 

6.58 
6.76 
6.88 
6.94 


—0.173 

—0.020 

+0.133 

0.285 

0.435 


+4.34 
4.82 
5.26 
5.66 
6.01 
































1872 B. 


1880 B. 








* 


6 0, 


Mar. 7.5. 
















* 


5 Mean £ 


>un, Mar. 10.3. 







-1.066 


—6.93 


+0.385 


+5.90 








*< 


? Mean £ 


>un, Sept. 9.0. 




100 
200 
300 
400 


1.178 

1.280 

1.370 

—1.450 


6.96 

6.92 

6.83! 

—6.68 


0.533 

0.678 

0.817 

+0.949 


6.22 
6.49 
6.71 

+6.86 





SPECIAL TABLES. 



243 







TABLE XXIV.- 


e Piscium. 






h m 
R.A. 23 21.4. 




/ 

Dec. + 5 40. 


Upper transit at fictitious meridian. 






A Q a 






*©<J 




Side- 
real 


A Q a 


A ^ 


A^a 


A a (5 


Sidereal Dny. 














Day. 




i 
1 




1 


MeanDoy. 


1 












1 








mro Var - in 


Diff. for 
10 d. 


1S70. 


Var. in 

10 y. 


Diff. for 
10 d. 




1865. 

s 


18*3. 

s 

















100 


+0.678 
0.599 


+5.33 

4.88 


—0.938 
0.89* 


—6.62 
6.41 






















S 






// 






200 


0.516 


4.40 


0.838 


6.14 


0,Jun. 


0.19 


—0.413 


+ 3 


—100 


+ 0.74 


+ 2 


— 83 


300 


0.428 


3.87 


0.777 


5.83 


10 


10.17 


0.507 


3 


88 


— 0.10 


2 


85 


400 


0.335 


3.31 


0.711 


5.47 


20 


20.14 


0.587 


2 


71 


0.95 


2 


86 








30 


30.11 


0.648 


2 


52 


1.80 


2 


82 




1866. 


1874. 


Feb. 9 


9.09 


0.690 


1 


29 


2.58 


2 


73 





+0.3671+3.50 


—0.734 


—5.59 


19 


19.06 


0.706 


+ 1 


— 1 


3.24 


2 


60 


100 


0.273 2.92 


0.663 


5.20 


Mar. 1 


1.03 


0.692 





+ 29 
62 


3.75 


1 


43 


200 


0.176 2.31 


0.587 


4.77 


11 


11.00 


0.648 





4.07 


+ 1 




— 21 


300 


+0.078 1.68 


0.506 4.30 


21 


20.98 


0.567 





99 


4.15 


+ 5 


400 


— 0.021 [ 1.04 


0.4221 3.79 


31 


30.95 


0.449 


— 1 


137 


3.97 





32 




1867. 


1875. 


100, Apr. 10 


9.92 


0.293 


1 


174 


3.51 





61 





+0.012J+1.25 


-0.451 —3.96 


20 


19.89 


-0.102 


2 


210 


2.75 





90 


100 


—0.087+0.60 
0.1851—0.05 


0.364 


3.44 


30 


29.87 


+0.125 


2 


243 


1.71 





118 


200 


0.274 


2.88 


May 10 


9.84 


0.382 


2 


270 


— 0.39 


— 1 


144 


300 


0.281 0.70 


0.t81 


2.30 


20 


19.81 


0.664 


2 


293 


+ 1.17 


1 


167 


400 


0.3751 1.35 


0.088 


1.70 


30 


29.79 


0.966 


3 


308 


2.94 


1 


185 




1868 B. 


1876 B. 


June 9 


8.76 


1.277 


3 


315 


4.85 


1 


199 








19 


18.73 


1.593 


3 


314 


6.92 


1 


208 





-0.344—1.13 


—0 120 


—1.91 


29 


28.70 


1.903 


2 


305 


9.02 


2 


211 


100 


0.435 


1.77 


—0.025 


1.30 


July 9 


8.68 


2.200 


2 


288 


11.12 


2 


208 


200 
300 


0.523 
0.606 


2.39 
2.99 


+0.069 
0.163 


0.68 
—0,06 


200, 19 


18.65 


2.477 


2 


264 


13.17 


2 


201 


400 


0.683 


3.57 


0.255 


+0.57 


29 


28.62 


2.726 


1 


233 


15.12 


1 


187 








Aug. 8 


7.59 


2.941 


1 


198 


16.90 


1 


171 




1S69. 


1877. 


18 


17.57 


3.121 


1 


160 


18.53 


— 1 


153 





— 0.65S— 3.38 


+0.224 
0.315 


+0.37 
0.99 


28 


27.54 


3.261 


— 1 


120 


19.96 





132 


100 


0.731 


3.93 


















200 


0.799 


4.45 


0.404 


1.60 


Sept. 7 


6.51 


3.360 





80 


21.17 





109 


300 


0.858 


4.93 


0.490 


2.21 


17 


16.48 


3.421 


+ 1 


41 


22.13 





85 


400 


0.911 


5.35 


0.572 


2.79 


27 


26.46 


3.443 


1 


+ 4 


22.87 


+ 1 


62 








Oct. 7 


6.43 


3.430 


2 


— 29 


23.38 


1 


39 




1870. 


1878. 


17 


16.40 


3.387 


2 


55 


23.67 


1 


+ 19 



























—0.894 


—5.22 


+0.545 +2.60 


300, 27 


26.38 


3.322 


2 


77 


23.76 


2 


— 1 


100 


0.941 


5.62 


0.624 


3.17 


Nov. 6 


5.35 


3.235 


3 


95 


23.66 


2 


19 


200 


0.980 


5.97 


0.697 


3.72 


16 


15.32 


3.134 


3 


105 


23.39 


2 


35 


300 


1.010 


6.27 


0.766 4.24 


26 


25.29 


3.026 


3 


111 


22.97 


2 


49 


400 


1.032 


6.52 


0.828| 4.72 


Dec. 6 


5.27 


2.913 


4 


113 


22.41 


2 


61 




1871. 


1879. 


16 
26 
36 


15.24 
25.21 
35.18 


2.801 

2.692 

+2.591 


3 
3 

+ 3 


111 

106 
— 96 


21.75 

21.00 

+20.17 


3 

3 

+ 3 


71 

79 

— 85 




100 
200 
300 


—1.026 
1.042 

1.048 
1.046 


—6.44 
6.65 

6.80 
6.89 


+0.808 
0.865 
0.916 
0.959 


+4.56 
5.02 
5 44 
5 81 
















400 


1.036 


6.92 


0.994 


6.14 


1 
















1S73B. 


1S80B. 




* ( 


3 0, 


Mar. < 


)7. 












i 


* ( 


5 Mean Sun, 


Mar. IS 


U. 









—1.040 


—6.92 


+0.983+6.03 
















100 


1.023 


6.92 


1.013 


6 33 
















200 


0.998 


6.85 


1.034 


6.57 
















300 


0.965 


6.73 


1.047 


6.75 f 
















400 


—0.923 


-6.56 


+ 1.051+6.88 I 

1 ; 





























244 



SPECIAL TABLES. 



TABLE XIIV.-( Plsciom. 



h in 

K.A. 23 33.3. 



Dec. + 4 55. 



Upper transit at fictitious meridian. 



Sidereal Day. 



0,Jan. 

10 

20 

30 

Feb. 9 

19 
Mar. 1 
11 
21 
31 



Mean Day 



, Apr. 10 


20 


30 


May 10 


20 


30 


June 9 


19 


29 


July 9 



200, 19 

29 

Aug. 8 

18 
28 

Sept. 7 
17 
27 

Oct. 7 
17 

300, 27 

Nov. 6 

*6 

26 

Dec. 6 

16 
26 
36 



0.20 
10.18 
20.15 
30.12 

9.09 

19.07 

1.04 

11.01 

20.98 
30.96 

9.93 

19.90 

29.88 

9.85 

19.82 

29.79 

8.77 
18.74 
28.71 

8.68 

18.66 
28.63 
7.60 
17.58 
27.55 

6.52 
16.49 
26.47 

6.44 
16.41 

26.38 
5.36 

15.33 
25.30 

5.27 



^O a 



1870. 



Vfir. in 
10 y. 



-0.345 
0.442 
0.527 
0.596 
0.646 

0.671 
0.670 
0.634 
0.565 
0.459 

0.313 

—0.131 

-j-0.089 

0.339 

0.617 

0.915 
1.225 
1.542 
1.856 

2.158 

2.441 

2.698 
2.924 
3.116 
3.267 

3.379 
3.453 

3.487 
3.488 
3.457 

3.402 
3.326 
3.233 
3 131 
3.023 



15.25 2.913 
25,22 2.804 
35.19 +2.702 



3 

2 
2 
2 

1 
1 


— 1 
1 

1 

2 
2 
3 
3 

3 
3 
3 
2 

2 

2 
2 
2 
1 
1 

— 1 



+ 1 
1 
1 

2 
2 
3 
3 
4 

4 

4 

+ 3 



Diff. foi- 
10 d 



-102 
92 
78 
60 

38 

- 13 

+ 18 

52 

87 

126 

164 

201 
236 
265 
289 

305 
315 
317 

309 
294 

271 
242 
209 
172 
132 

93 

54 

+ 17 

— 16 

44 

66 

85 

98 

106 

110 

110 
106 



A 0<* 



1870. 



-1- 0.49 

— 0.32 
1.14 
1.94 
2.66 

3.28 
3.75 
4.03 
4 08 
3.86 

3.37 
2.61 
1.55 

— 24 
+ 1.33 

3.09 
5.00 
7.02 
9.09 
11.17 

13.18 

15.09 
16.86 
18.45 
19.83 

20.98 
21.89 
22.59 
23.04 
23.28 

23.31 

23.18 

22.88 
22.44 

21.88 

21.20 

20.46 

+ 19.67 



Var.in 
10 y. 



1 

1 
1 

+ I 




— 1 
1 
1 
1 

1 

1 
1 

2 
2 

I 

1 

— 1 







+ 1 

1 

1 

1 

1 
2 
2 

2 

2 

+ 2 



Diff. for 
10 d. 



82 
82 
77 
68 

55 
38 

— 17 
+ 8 

35 

62 

91 

119 

144 

166 

184 

197 

205 
208 
205 

197 
185 
169 
149 
127 

103 

80 

57 

34 

+ 13 

— 5 
22 

37 
50 
62 

71 

77 

— 81 



* 6 0, 

>j< 6 Mean Sun, 



Mar. 12.9. 
Mar. 15.4. 



Side- 
real 
Day. 



A n a 




100 
200 
300 
400 




100 
200 
300 

400 




100 
200 
300 
400 





100 

200 

i 300 

400 




100 
200 
300 
400 




100 

! 200 
! 300 
! 400 




100 
200 
300 
400 




100 
200 
300 
400 



8 

+0. 
0. 

0. 

0. 
0. 



Ao(5 



1865. 



674 
595 
510 
422 
329 



+4.97 
4.50 
3.99 
3.44 

2.86 



+0 



+o 

— 



1866. 

3601+3.05 
266 2.46 



169 
070 
.029 



1.84 
1.20 
0.56 



1867. 



+0.005 

-0.095 

0.193 

0.281* 

0.383 



+0.7 
+0.1 
—0.53 
1.17 
1.81 



1868 B. 



-0.351 
0.443 
0.531 
0.614 
0.191 



-1.60 
2.22 
2.82 
3.4( 
3.95 



I860. 

-0.666!— 3.77 
0.739 4.30 

0.8061 4.78 
0.8t)5j 5.22 
0.917 5.6..' 



k ^ a 



And 



1873 

-0.937 
0.890 
0.836 
0.774 
0.707 



—6.43 
6.18 

5.88 
5.53 
5.14 



1874. 



-0.730 
0.659 
0.582 
0.501 
0.416 



-0.20 

4.85 
4.39 
3.89 
3.37 



1875. 



-0.445 
0.357 
267 
0.174 

0.081 



-3.55 
3.00 
2.43 
1.84 
1.24 



1876 B. 



-0.112 

—0.018 

+0.077 

0.171 

0.263 



—1.44 

0.83 
—0.21 
+0.41 

1.03 



1877. 



1870. 

-0 900'- 
0.947 
0.985 
1.015 
1.036 



-5.40 
5.86i 
6.17 
6.4: J 
6.6.> 



1871. 

-1.030!— 6.57 
1.045 
1.051 
1.049 
1.037 



6.73 

6.84 
6.89 
6.88 



+0.232 
0.324 
0.412 
0.498 

0.58U 



+0.83 
1.44 

2.05 
2.63 
3.20 



1878. 



+0.55.3 
0.631 
0.705 
0.77:i 
0.835 



+3.01 
3 56 

4.08 
4.57 
5.02 



1870. 



J872B. 



—1.042 
1.024 

0.998 

0.964 

—0.922 



—6.89! 

6.84J 
6.74 
6.58| 
-6.36 



+0.814 
0.872 
0.922 
964 
0.999 



+4.88 
5.30 
5.68 
6.02 
6.31 



I88OB. 



+0.985 
1.017 

1.038 
1.050 



+6.22 
6.47 
6.67 
6.81 



+1.053+6.89 



SPECIAL TABLES. 



245 



1 




TABLE XXIV.- 


* 7 Cephei. 


I 
i 




h m 
R.A. 23 34.0. 


o 
Dec. + 76 54. 


Upper transit at fictitious meridian. 
1 


| 

| Sidereal Day. 


Mean Day. 


A O a 


A c> j 


Side- 
real 
Day. 


A ^ a 


A Q<* 


A Q a 1 A r/ 5 ; 




1 














1 
j 




1870. 


Var. in Diff. for 
lOy. lOd. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 

s 



















100 


+2.626+4.95 
2.698: 4.47 


—1.997 

2.160 


—6.42 j 
6.17 ! 


1 
















I 




s 






// 






200 


2.748' 3.96 


2.304 


5.87 I 


! O.Jan. 


+ 0.20 


—1.467 


+ 4 


—869 


+19.03 


+ 2 


— 59 


300 


2.773 3.41 


2.429 


5.51 


I 10 


10.18 


2.316 





823 


18.14 


2 


119 


400 


2.775| 2.82 


2.533 


5.12 


I 20 


20.15 


3.104 


— 4 


748 


16.66 


3 


175 








30 


30.12 


3.801 


9 


642 


14.66 


3 


224 




1866. 


1874. 


Feb. 9 


9.10 


4.379 


13 


511 


12.21 


4 


263 





+2.777 


+3.02 


—2.5011—5.26 ] 


19 


19.07 


4.815 


16 


357 


9.43 


4 


292 


100 


2.763 


2.43 


2.591 1 4.83 j 


Mar. 1 


1.04 


5.088 


20 


187 


6.42 


4 


308 


200 


2 724 


1.80 


■ 2.6o0; 4.37 | 


11 


11.01 


5.186 


22 




3.30 


4 


312 


300 


2.662 


1.17 


2.707i 3.87 i 


21 


20.99 


5.102 


23 


+175 


+ 0.22 


4 


303 


400 


2.576 


0.52 


2.732} 3.34 


31 


30.96 


4.837 


24 


353 


- 2.72 


4 


282 


1 1867. 


1875. 


1 100, Apr. 10 


9.93 


4.400 


24 


519 


5.39 


3 


250 





+2.608 


+0.74 


—2.731 


—3.52 


20 


19.90 


3.805 


23 


668 


7.69 


3 


209 


100 


2.507 


+0.09 


2.741 


2.97 ! 


I 30 


29.88 


3.071 


21 


794 


9.55 


3 


161 


200 


2.384 


—0.56 


2.729 


2.40 ! 


May 10 


9.85 


2.224 


19 


895 


10.89 


2 


107 


300 


2.241 


1.20 


2.693 


1.81 1 


20 


19.82 


1.291 


16 


967 


11.68 


1 


— 50 


400 


2.078 


1.84 


2.636 


1.20 ! 


30 


29.79 


—0.301 


12 


1008 


11.89 


+ 1 


4- 9 




1868 B. 


1876 IS. 


June 9 


8.77 


+0.716 


8 


1020 


11.51 





67 






_ _ i 


19 


18.74 


1.730 


— 4 


1003 


10.56 


— . 1 


122 





+2.135 


—1.63 


— 2.658- — 1.41 i 


29 


28.71 


2.714 





960 


9.07 


1 


175 


100 


1.961 


2.25 


2.586 ! 0.80 


July 9 


8.68 


3.641 


+ 5 


892 


7.07 


2 


223 


200 
300 


1.769 
1.562 


2.85 
3.43 


2.493—0.18 | 
2.379+0.44 


:300, 19 


18.66 


4.491 


9 


803 


4.62 


2 


266 


400 


1.342 


3.98 


2.246, 1.06 


29 


28.63 


5.241 


13 


698 


— 1.77 


3 


303 






j 


Aug. 8 


7.6Q 


5.878 


17 


575 


+ 1.41 


3 


333 




1869. 


1877. 


18 


17.58 


6.388 


20 


443 


4.86 


3 


356 





+1.418 


—3.80 


—2.293 


+0.85 ! 
1.47 ' 


28 


27.55 


6.763 


23 


305 


8.49 


4 


371 


100 


1.190 


4.32 


2.147 


















200 


0.953 


4.80 


1.983 


2.C7 


Sept. 7 


6.52 


6.996 


26 


162 


12.25 


4 


379 


300 


0.708 


5.24 


1.802 


2.66 ! 


17 


16.49 


7.086 


28 


+ 18 


16.04 


4 


379 


400 


0.457 


5.64 


1.606 


3.22 i 


27 


26.47 


7.033 


29 


—124 


19.80 


4 


371 








Oct. 7 


6.44 


6.839 


30 


262 


23.44 


3 


356 




187©. 


1S7S. i 


17 


16.41 


6.511 


30 


393 


26.88 


3 


332 



























+0.542 


—5.51 


—1.674 


+3.03 ! 


300, 27 


26. 3S 


6.056 


30 


515 


30.05 


3 


300 


100 


0.289 


5.87 


1.469 


3.58 ; 


Nov. 6 


5.36 


5.486 


29 


624 


32.86 


2 


261 


200 


+0.034 


6.18 


1.251 


4.10 ' 


16 


15.33 


4 814 


27 


718 


35.25 


2 


215 


300 


—0.221 


6.44 


1.022 


4.59 ! 


26 


25.30 


4.056 


25 


795 


37.15 


— 1 


162 


400 


0.474 


6.64 


0.784 


5.04 


Dec. 6 


5.28 


3.232 


22 


849 


38.49 





105 




1871. 


1879. 


16 

26 


15.25 
25.22 


2.365 
1.482 


18 
14 


879 

883 


39.23 
39 35 


+ 1 
2 


+ 43 

— 19 




100 


—0.389 
0.638 


—6.57 
6.74 


—0.865 
0.622 


+4.90 ! 
5.32 : 


36 


35.19 


+0.610 


+10 


-856 


+38.84 


+ 2 


— 81 


200 
300 
400 


0.882 
1.117 
1.343 


6.84 
6.89 
6.87 


0*374 
—0.121 
+0.134 


5.7U ! 
6.03 i 
6.32 i 










1 










1873 B. 


1880 B. 




* c 


5 0, Mar. 13.1. 












* ( 


5 Mean Sun, Mar. 15.6. 







—1.268 


— 6.8S 


+0.049J+6.23 = 




*l 


? Mean Sun, Sept. 14.3. 




100 


1.486 


6.83 


0.3031 6.48 | 










200 


1.690 


6.73 


0.5551 6.07 : 










300 


1.880 


6.C6 


0.803 6.81 










400 


—2.054;— 6.34 


+1.045j+6.89 

1 



24:6 



SPECIAL TABLES. 







— , 

TABLE XXIV.—* Groombridgc 4163. 






h m o ' 
K. A. 23 48.5. Dec. + 73 41. 


Upper transit at fictitious meridian. 






A Q a 


A J 


Side- 
real 


A oQ a 


A n* 


A Q a 


A ^ 


Sidereal Day. 








Day. 










Mean Day. 
























isyo. 


Var. in 

10 y. 


Diff. foi- 
10 d. 


isro. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

s " 


1873. 

s " 



















100 


+2.285+4.50 


—1.866 
1.981 


—6.17 

5.87 


















2.319 


3.99 






s 






/"/ 






200 


2.333 


3.45 


2.079 


5.52 


0, Jan. 


0.21 


-0.880 


+ 7 


-681 


+18.94 


+ 2 


— 45 


300 


2.326 


2.87 


2.159 


5.13 


10' 


10.19 


1.550 


5 


655 


18.19 


2 


105 


400 


2.300 


2.27 


2.221 


4.69 


20 


20.16 


2.181 


+ 1 


604 


16.85 


3 


161 








30 


30 13 


2.750 


— 2 


529 


14.98 


4 


211 




1866. 


1871. 


Feb. 9 


9.10 


3.233 


5 


432 


12.66 


4 


252 



























+2.311 


+2.47 


—2.202 


—4.85 


19 


19.08 


3.608 


8 


315 


9.98 


5 


282 


100 


2.271 


1.86 


2.252 


4.39 


Mar. 1 


1.05 


3.858 


10 


183 


7.05 


5 


301 


200 


2.211 


1.23 


2.284 


3.89 


11 


11.02 


3.970 


12 


— 41 


4.01 


5 


307 


300 


2.132 


+0.58 


2.296 


3.36 


21 


21.00 


3.938 


14 


+106 


+ 0.96 


5 


300 


400 


2.034 


—0.07 


2.290 


2.81 


31 


30.97 


3.760 


15 


251 


— 1.96 


4 


282 




1867. 


1875. \ 


LOO, Apr. 10 


9.94 


3.438 


16 


390 


4.64 


4 


253 





+2.069+0.15 


—2.294 


—3.00 


20 


19.91 


2.984 


16 


516 


6.98 


3 


214 


100 


1.959 


—0.50 


2.275 


2.43 


30 


29.89 


2.411 


15 


627 


8.89 


3 


168 


200 


1.832 


1.14 


2.238 


1.84 


May 10 


9.86 


1.737 


14 


717 


10.31 


2 


116 


300 


1.690 


1.77 


2.182 


1.24 


20 


19.83 


0.985 


12 


784 


11.19 


2 


60 


400 


1.532 


2.40 


2.108 


0.63 


30 


29.80 


—0.177 


10 


828 


11.51 


+ 1 


- 3 




1868 B. 


1876 B. 


June 9 


8.78 


+0.663 


8 


848 


11.24 





+ 55 








19 


18.75 


1.510 


5 


843 


10.42 


— 1 


110 





+1.587 


— 2.18 


—2.135 


— 0.83 


29 


28.72 


2.341 


— 2 


816 


9.05 


1 


163 


100 


1.421 


2.79 


2.049 


—0.22 


July 9 


8.70 


3.135 


+ 1 


768 


7.17 


2 


212 


200 


1.243 


3 36 


1.947 


+0.40 
















300 


1.054 


3.91 


1.828 


1.02 


200, 19 


18.67 


3.872 


4 


702 


4.83 


3 


255 


400 


0.856 


4.43 


1.695 


1.63 


29 


28.64 


4.535 


7 


621 


— 2.09 


3 


292 








Aug. 8 


7.61 


5.111 


10 


528 


+ 0.99 


4 


323 




1869. 


1877. 


18 


17.59 


5.587 


13 


424 


4.34 


4 


347 





+0.924 


—4.26 


—1.7414-1.42 1 


28 


27.56 


5.957 


16 


314 


7.90 


4 


363 


100 
200 


0.721 
0.512 


4.74 
5.19 


1.598 
1.441 


2.02 
2.61 


Sept. 7 


6.53 


6.214 


18 


200 


11.59 


4 


373 


300 


0.301 


5.59 


1.273 


3.17 


17 


16.50 


6.356 


20 


+ 84 


15.33 


4 


374 


. 400 


0.086 


5.94 


1.093 


3.71 


27 


26.48 


6.382 


22 


— 31 


19.05 


4 


368 








Oct. 7 


6.45 


6.295 


23 


143 


22.67 


4 


354 




1870. 


1878. 


17 


16.42 


6.097 


24 


251 


26.11 


4 


333 





+0.158—5.82 


—1.155+3.53 


300, 27 


26.40 


5.796 


25 


351 


29.30 


3 


303 


100 


—0.057 


6.14 


0.968 


4.05 


Nov. 6 


5.37 


5.398 


25 


443 


32.15 


3 


266 


200 


0.271 


6.4U 


0.774 


4.53 


16 


15.34 


4.914 


24 


523 


34.59 


2 


222 


300 


0.482 


6.60 


0.572 


4.99 


26 


25.31 


4.356 


24 


590 


36.56 


1 


.171 


400 


0.688 


6.75 


0.365 


5.40 


Dec. 6 


5.29 


3.738 


22 


642 


38.00 


— 1 


115 




1871. 


1879. 


16 

26 


15.26 
25.23 


3.078 
2.397 


20 

18 


674 
686 


38.86 
39.10 




+ 1 


+ 56 

— 6 



100 


—0.619 

0.822 


—6.71 

6.82 


—0.436 

0.226 


+5.26 
5.64 


36 


35.20 


+1.715 


+.15 


—674 


+38.73 


+ 2 


— 68 


200 
300 


1.016 

1.202 


6.87 
6.86 


—0.014 

+0.198 

0.410 


5.98 
6.26 








400 


1.377 


6.79 


6.50 










1872 B. 


1880 B. 




* ( 


i 0, Mar. 17.1. 










* < 


1 Mean Sun, Mar. 19.3. 





—1.319 


—6.82 


+0.339 


+6.43 




* c 


? Mean Sun, Sept. 18.0. 


100 

200 


1.487 
1.641 


6.72 

6.56 


0.549 
0.756 


6.62 
6.77 








301 


1.782 


6.34 


0.955 


6.86 


J 
















400 


—1.907 


—6.08 


+ 1.147 


+6.88 



SPECIAL TABLES. 



247 







TABLE XXIV.- 


o Piscium. 






h 
R.A. 23 


m 
52.6. 




o / 

Dec. + 6 9. 


Upper transit at fictitious meridian. 






A a 






A d 




Side- 
real 
Day. 


A Q a 


A Cl d 


A a a A ^ 


Sidereal Day. 


MeanDay. 




















1870. 


Var.in 
10 y. 


Diff. for 
10 d. 


1870. 


Var. in 
10 y. 


Diff. for 
10 d. 




1865. 

8 " 


1873. 

8 " 



















100 


+0.686 
0.608 


+4.37 

3.85 


—0.947—6.10 
0.900 5.78 






















s 






a 






200 


0.524 


3.30 


0.847 5.42 


0,Jan. 


0.22 


—0.232 


+ 3 


—108 


+ 0.91 


+ 2 


— 77 


300 


0.435 


2.72 


0.786J 5.02 


10 


10.19 


0.337 


3 


101 


+ 0.12 


2 


81 


400 


0.343 


2.1J 


0.719, 4.57 


20 


20.16 


0.433 


3 


90 


— 0.69 


2 


81 








30 


30.13 


0.516 


3 


76 


1.48 


2 


77 




1866. 


1874. 


Feb. 9 


9.11 


0.583 


2 


56 


2.21 


1 


70 



























+0.374 


+2.32 


—0 742 


—4.73 


39 


19.08 


0.626 


2 


31 


2.86 


1 


58 


100 


0.280 


1.70 


0.672 


4.26 


Mar. 1 


1.05 


0.643 


+ 1 


— 2 


3.36 


1 


42 


200 


0.183 


1.06 


0.595 


3.75 


11 


11.03 


0.629 





+ 31 
68 


3.67 


1 


— 22 


300 


+0.084 


+0.42 


0.515 


3 22 


21 


21.00 


0.580 





3.78 


+ 1 


+ 1 


400 


—0.016 


—0.23 


0.429 


2.66 


31 


30.97 


0.492 


— 1 


107 


3.64 





27 




1867. 


1875. 


100, Apr. 10 


9.94 


0.365 


1 


147 


3.24 





55 





+0.018 


—0.0] 


—0.4591—2 85 


20 


19.92 


—0.199 


2 


186 


2.54 





83 


100 


—0.081 


0.66 


0.37 J 


2.28 


30 


29.89 


+0.005 


2 


222 


1.57 


— 1 


111 


200 


0.180 


1.30 


0.281 


1.69 


May 10 


9.86 


0.243 


2 


254 


— 0.32 


1 


138 


300 


0.277 


1.93 


0.188 


1.08 


20 


19.83 


(f.511 


3 


280 


+ 1.17 


1 


161 


400 


0.372 


2.54 


0.094 


0.47 


30 


29.81 


0.801 


3 


300 


2.88 


1 


180 




1868 B. 


1876 B. 


June 9 


8.78 


1.108 


3 


313 


4.75 


2 


194 








19 


18.75 


1.425 


3 


318 


6.75 


2 


204 





—0.340 


—2.34 


-0.126 


-0.68 


29 


28.73 


1.741 


2 


313 


8.82 


2 


209 


100 


0.433 


2.94 


—0.031 


—0.06 


July 9 


8.70 


2.048 


2 


301 


10.91 


2 


207 


200 
300 


0.521 
0.605 


3.51 

4.05 


+0.064 
0J58 


+0.56 
+1.17 


200, 19 


18.67 


2.340 


2 


281 


12.95 


2 


200 


400 


0.683 


4.55 


0.251 


1.78 


29 


28.64 


2.608 


2 


255 


14.91 


2 


190 








Aug. 8 


7.62 


2.848 


1 


224 


16.73 


2 


174 




1869. 


1877. 


18 

28 


17.59 
27.56 


3.054 
3.222 


1 
— 1 


187 
149 


18.38 
19.84 


1 
1 


156 
135 



100 
200 


—0.657 
0.732 
0.800 


-4.39 
4.86 
5.29 


+0.220 
0.312 
0.402 


+1.58 
2.18 
2.76 


Sept. 7 


6.53 


3.353 





111 


21.08 


— 1 


112 


300 


0.860 


5.68 


0.488 


3.31 


17 


16.51 


3.445 





73 


22.07 





88 


400 


0.913 


6.01 


0.571 


3.84 


27 


26.48 


3.500 


+ 1 


36 


22.85 





65 








Oct. 7 


6.45 


3.519 


2 


+ 3 


23.39 


+ J 


43 




1870. 


1878. 


17 


16.42 


3.507 


2 


— 26 


23.72 


1 


22 



























—0.896 


—5.91 


+0.543 +3.67 


300, 27 


26.40 


3.468 


3 


51 


23.83 


2 


+ 2 


100 


0.944 


6.21 


0.623 


4.18 


Nov. 6 


5.37 


3.407 


3 


72 


23.77 


2 


— 15 


200 


0.984 


6.45 


0.698 


4.65 


16 


15.34 


3.326 


3 


88 


23.54 


2 


31 


300 


1.015 


6.64 


0.767 


5.09 


26 


25.32 


3.233 


3 


98 


23.16 


2 


45 


400 


1.037 


6.78 


0.830 


5.49 


Dec. 6 


5.29 


3.131 


4 


106 


22.65 


2 


56 




1871. 


1879. 


16 
26 
36 


15.26 
25.23 
35.21 


3.022 
2.912 

+2.804 


4 

4 

+ 4 


110 

110 

—105 


22.04 

21.32 

+20.56 


2 
2 

+ 2 


67 
74 

— 78 



100 
200 


—1.031 

1.047 
1.055 


—6.74 
6.83 
6.87 


+0.809 
0.868 
0.919 


+5.36 
5.73 

6.05 
















300 
400 


1.053 
1.043 


6.85 
6.76 


0.963 
0.999 


6.33 
6.55 
































1872 B. 


1880 B. 




* ( 


5 0, ] 


Mar. 18 


.2. 














* c 


5 Mean Sun, 


Mar. 20 


.3. 







100 
200 
300 


—1.047 
1.031 
1.006 
0.973 


—6.80 
6.68 
6.51 
6.28 


+0.988 
1.018 
1.040 
1.053 


+6.48 
6.66 
6.79 
6.86 
















400 


—0.932—6.00 


+1.057 


+6.87 



248 



SPECIAL TABLES. 







TABLE XXV. 




• 






TABLE XXYI 


• 






Tenns to be multiplied by 


(t— 1870\ 2 




Motion of © + & and — ft 
for sidereal days ; 
















(in thousandths of the circumference.) 






51 Cephei. 


a Octantis. 


1 Ursse Minoris. 


oiCl6F6£U xsclj. 


























R.A. 


Dec. 


R.A. 


Dec. 


R.A. 


Dec. 


Sidereal 


Day. 


+ Q 


Q-a 


Jan. 





— o'.oi 


—0.01 


+0 S .69 


—0.01 


+6.04 


—0.03 


Jan. 













]0 


0.00 


0.01 


0.64 


0.02 


0.06 


0.03 




10 


26 


29 




20 


0.00 


0.01 


0.56 


0.03 


0.09 


0.03 




20 


52 


58 




30 


+0.01 


0.01 


0.48 


0.04 


0.J1 


0.02 




30 


78 


86 


Feb. 


9 


0.01 


—0.01 


0.37 


05 


0.14 


0.02 


Feb. 


9 


103 


115 




19 


0.01 


0.00 


0.26 


0.05 


0.15 


0.01 




19 


129 


144 


Mar. 


1 


+0.01 


0.00 


0.14 


0.06 


0.17 


0.01 


Mar. 


1 


155 


173 




11 


0.00 


0.00 


+001 


0.06 


0.17 


—0.01 




11 


181 


201 




21 


0.00 


+0.01 


—0.13 


0.06 


0.17 


0.00 


• 


21 


207 


230 




31 


—0.01 


+0.01 


0.26 


0.06 


0.17 


0.00 




31 


233 


259 


Apr. 


10 


0.02 


0.00 


0.39 


0.06 


0.16 


+0.01 


Apr. 


10 


258 


288 




20 


0.02 


0.00 


0.51 


0.05 


0.14 


0.01 




20 


284 


316 




30 


0.03 


0.00 


0.63 


0.05 


0.13 


0.01 




30 


310 


345 


May 


10 


0.02 


0.00 


0.73 


0.04 


0.10 


0.02 


May 


10 


336 


374 




20 


0.02 


0.00 


0.82 


0.03 


0.08 


0.02 




20 


362 


403 




30 


0.02 


—0.01 


0.90 


0.02 


0.05 


0.02 




30 


388 


432 


June 


9 


—0.01 


01 


0.97 


0.02 


+0.02 


0.02 


June 


9 


413 


460 




19 


0.00 


0.01 


1.01 


—0.01 


—0.01 


0.02 




19 


439 


489 




29 


+0.01 


0.0] 


1.03 


0.00 


0.03 


0.02 




29 


465 


518 


July 


9 


0.02 


—0.01 


1.04 


+0.01 


0.06 


0.01 


July 


9 


491 


547 




19 


0.02 


0.00 


1.02 


0.03 


0.08 


+0.01 




19 


517 


575 




29 


0.03 


0.00 


0.99 


0.03 


0.10 


0.00 




29 


543 


604 


Aug. 


8 


0.03 


0.00 


0.94 


0.04 


0.12 


0.00 


Aug. 


8 


568 


633 




18 


0.03 


+0.01 


087 


0.05 


0.13 


—0.01 




18 


594 


662 




28 


0.02 


0.01 


0.79 


0.06 


0.15 


0.01 




28 


620 


690 


Sept. 


7 


0.02 


0.01 


0.70 


0.06 


0.15 


0.02 


Sept. 


7 


646 


719 




17 


+0.01 


0.01 


0.60 


0.06 


0.16 


02 




17 


672 


748 




27 


0.00 


0.02 


0.48 


0.06 


0.15 


0.03 




27 


698 


777 


Oct. 


7 


—0.01 


0.02 


0.38 


0.06 


0.15 


0.03 


Oct. 


7 


723 


806 




17 


O.Oi 


0.01 


0.28 


0.06 


0.14 


0.04 




17 


749 


834 




27 


0.03 


+0.01 


0.19 


0.05 


0.13 


0.04 




27 


775 


863 


Nov. 





0.04 


0.00 


0.11 


0.04 


0.11 


0.05 


Nov. 


6 


801 


892 




10 


0.04 


0.00 


—0.04 


0.04 


0.09 


0.05 




16 


827 


921 




26 


O.05 


0.00 


+0.01 


0.03 


0.06 


0.05 




26 


853 


949 


Dec. 


6 


0X4 


—0.01 


0.03 


0.02 


0.04 


0.05 


Dec. 


6 


879 


978 




10 


04 


0.01 


0.04 


+0.01 


—0 01 


0.C6 




16 


904 


7 




26 


0.03 


0.0] 


+0.03 


00 


+0.02 


0.06 




26 


930 


36 


1 


3G 


—0.02 


—0.01 


—0.01 


—0.02 


+0.05 


—0.06 




36 


956 


65 



SPECIAL TABLES. 



249 







TABLE XXVII. 










Terms for C 


ircumpol 


ar Stars depending on © -f- Q, and © — 


Q. 




i 

Arguments—* 

For a Ursse Minoris 




a Ursse Minoris. 


51 Cephei. 




Arg. = 


Q + Q 


Arg. = 


o-n 


Arg. = + Q 


and 51 Cephei. 


<» 

S 

3 

fcD 

< 












1 

to 

< 


Year. | © + Q 

1 


O-Q 


R.A. 


Dec. 


R.A. 


Dec. 


R.A. 


1885 


377 


177 





— 0.05+ 


// 
-0.01+ 


o.oo 


// 

—0.02+ 


+0.01 — 


500 


1866 


323 


230 


10 


0.05 


0.01 


0.00 


0.02 


0.01 


510 


1867 


269 


284 


20 


0.04 


0.01 


0.00 


0.02 


0.01 


520 


1868 


215 


338 


30 


0.04 


0.02 


0.00 


0.02 


0.01 


530 


1869 


161 


392 


40 


0.03 


0.02 


0.00 


0.02 


+0.01— 


540 


1870 


107 


446 


50 


0.03 


0.02 


0.00 


0.02 


0.00 


550 


1S71 


53 


500 


60 


0.02 


0.02 


0.00 


0.02 


0.00 


560 


1872 





553 


70 


0.02 


0.02 


0.00 


0.02 


0.00 


570 


1873 


946 


607 


80 


—0.01 + 


0.02 


0.00 


0.02 


0.00 


580 


1874 


892 


631 


90 


0.00 


0.02 


0.00 


0.02 


0.00 


590 


1875 


839 


715 


100. 


0.00 


0.02 


0.00 


0.01 


0.00 


600 


1876 


785 


768 


110 


+0.01— 


0.02 


+0.01— 


0.01 


0.00 


640 


1877 


731 


822 


120 


0.01 


0.02 


0.01 


0.01 


—0.01 + 


620 


1878 


677 


876 


130 


0.01 


0.02 


0.01 


0.01 


0.01 


630 


1879 


623 ! 929 


140 


0.02 


0.02 


0.01 


0.01 


0.01 


640 


18S0 


570 1 983 


















1 


150 
160 


0.03 
0.03 


0.02 
0.02 


0.01 
0.01 


0.01 
0.01 


0.01 
0.01 


650 

660 




For X Ursse Minoris and 


170 


0.04 


0.02 


0.01 


0.01 


0.01 


670 


n Octjintis 


180 


0.04 


0.01 


0.01 


0.01 


0.01 


680 


u \y vuiiiuoi ' 


190 
200 


0.05 
0.05 


0.01 
0.01 


0.01 
0.01 


0.01 
0.01 


0.01 
0.02 


690 
700 


Year. 


0+ Q 


O — Q 








210 


06 


0.01 


0.01 


—0.01+ 


0.02 


710 








220 


0.06 


0.01 


0.01 


0.00 


0.02 


720 


1865 


379 


179 


230 


0.07 


0.01 


0.01 


0.00 


0.02 


730 


1866 


325 


232 


240 


0.07 


0.01 


0.01 


0.00 


0.02 


740 


1867 


271 


286 
















1868 


217 


340 


250 


0.07 


0.01 


0.01 


0.00 


0.02 


750 


1839 


163 


394 


260 


0.08 


0.01 


0.01 


0.00 


0.02 


760 








270 


0.08 


0.01 


0.01 


0.00 


0.02 


770 


1870 


109 


448 


280 


0.08 


0.01 


0.01 


0.00 


0.02 


780 


1871 


55 


502 


290 


0.08 


—0.01+ 


0.01 


0.00 


0.02 


790 


1872 


2 


555 
















1873 


948 


609 


300 


0.08 


0.00 


0.01 


0.00 


0.02 


800 


1874 


894 


663 


310 


0.09 


0.00 


0.01 


0.00 


0.02 


810 








320 


0.09 


0.00 


0.01 


0.00 


0.02 


820 


1875 


841 


717 


330 


0.09 


0.00 


0.01 


+0.01— 


0.02 


830 


1876 


787 


770 


340 


0.09 


0.00 


0.01 


.0.01 


C.02 


840 


1877 


733 


824 
















1878 


679 


878 


350 


0.09 


0.00 


0.01 


0.01 


0.02 


850 


1879 


625 


931 


360 


0.09 


0.00 


0.01 


0.01 


0.02 


860 


1880 


572 


985 


370 


0.10 


0.00 


0.01 


0.01 


0.02 


870 








380 


0.09 


+0.01 — 


0.01 


0.01 


0.02 


880 








390 


0.08 


0.01 


0.01 


0.01 


0.02 


890 






400 


0.08 


0.01 


0.01 


0.01 


0.02 


9:0 




410 


0.08 


0.01 


0.01 


0.01 


0.02 


910 




420 


0.08 


o.oi 


0.01 


0.01 


0.02 


920 




430 


0.08 


0.01 


0.01 


0.01 


0.02 


930 


*Add to the argument for the 


440 


0.07 


0.01 


0.01 


0.02 


0.02 


940 


beginning of the year its motion 
















for the Sidereal Day, on p. 248. 


450 


0.07 


0.01 


0.01 


0.02 


0.02 


950 




460 


0.07 


0.01 


0.01 


0.02 


0.02 


960 




470 


0.06 


0.01 


0.01 


0.02 


0.01 


970 




480 


0.06 


0.01 


0.01 


0.02 


0.01 


980 




490 


0.06 


0.01 


+0.01 — 


0.C2 


0.01 


990 




500 


+0.05— 


+0.01- 


0.00 


+0.02— 


—0.01+ 


1000 



250 



SPECIAL TABLES. 



TABLE XXVII. 

Terms for Circumpolar Stars depending on0-f^ and © — Q. 




10 

20 
30 
40 

50 
60 
70 
80 
90 

100 
110 
120 
130 
140 

150 
1(50 
170 
180 
190 

200 
210 
220 
230 
240 

250 
260 
2T0 
2H0 
290 

300 
310 
320 
330 
340 

350 
360 
370 
380 
390 

400 
410 
420 
430 
440 

450 

400 
470 

4S0 
490 
500 



a Octantis. 



Arg. = 0+Q 



R.A. 



—0.02+ 

0.00 
+0.02- 

0.04 

0.06 

0.08 
0.10 
0.12 
0.14 
0.16 

0.18 
0.19 
0.21 
0.22 
0.24 

0.25 
0.26 
0.27 
0.28 
0.29 

0.30 
0.31 
0.31 
0.32 
0.32 

0.32 
0.32 
0.32 
0.32 
0.32 

0.31 
0.31 
0.30 
0.29 
0.28 

0.27 
0.26 
0.25 
0.23 
C.22 

0.20 
0.19 
0.17 
0.15 
0.13 

0.12 

0.10 

0.08 

0.06 

0.04 

+0.02- 



Dec. 



Arg. = © - Q 



R.A. 



+0.03- 
0.03 
0.03 
0.03 
0.03 

0.03 

0.03 
0.03 
0.02 
0.02 

0.02 
0.02 
0.02 
0.02 
0.02 

0.02 
0.02 
0.01 
0.0L 
0.01 

0.01 
0.01 
0.01 
0.01 
+0.01— 

0.00 
0.00 
0.00 
0.00 
—0.01+ 

0.01 

0.01 
0.01 
0.01 
0.01 

0.01 
0.02 
0.02 
0.02 
0.02 

0.02 
0.02 
0.02 
0.02 
0.02 

0.03 
0.03 
0.03 
0.03 
0.03 
—0.03+ 



0.00 
0.00 
+0.01- 
0.01 
0.01 

0.02 
0.02 
0.02 
0.03 
0.03 

0.03' 

0.04 

0.04 

0.04 

0.05 

0.05 
0.05 
0.05 
0.05 
0.06 

0.06 
0.06 
0.06 
0.06 
0.08 

0.06 
0.06 
0.06 
0.06 
0.06 

0.06 
0.06 
0.06 
0.05 
0.05 

0.05 

0.05 
0.05 
0.04 
0.04 

0.04 
0.03 
0.03 
0.03 
0.02 

0.02 

0.02 
0.01 
0.01 
+0.01- 
0.00 



Dec. 



—0.03+ 
0.03 
0.03 
0.03 
0.03 

0.02 
0.02 
0.02 
0.02 
0.02 

0.02 
0.02 
0.02 
0.02 
0.02 

0.01 
0.01 
0.01 
0.01 
0.01 

0.01 
—0.01 + 
0.00 
0.00 
0.00 

0.00 
0.00 
0.00 
+0.01— 
0.01 

0.01 
0.01 
0.01 
0.01 
0.01 

0.02 
0.02 
0.02 
0.02 
0.02 

0.02 
0.02 
0.02 
0.03 
0.03 

0.03 
0.03 
0.03 
0.03 
0.03 
+0.03- 



X Urste Minoris. 



Arg. = © + Q 



R.A. 



+0.12— 
0.11 
0.11 
0.10 
0.10 

0.09 

0.08 
0.08 
0.07 
0.06 

0.05 
0.04 
0.03 
0.03 
0.02 

+0.01— 

0.00 
—0.01+ 

0.02 

0.03 

0.04 
0.05 
0.05 
0.06 
0.07 

0.08 
0.08 
0.09 
0.10 
0.11 

0.11 
0.12 
0.12 
0.13 
0.13 

0.13 
0.14 
0.14 
0.14 
0.14 

0.14 
0.14 
0.14 
0.14 
0.14 

0.14 
0.14 
0.13 
0.13 
0. 12 
—0.12+ 



Dec. 



+0.01- 
0.01 
0.01 
0.01 
0.01 

0.01 

0.01 
0.02 
0.02 
0.02 

0.02 
0.02 
0.02 
0.02 
0.02 

0.02 
0.02 
0.02 
0.02 
0.02 

0.02 
0.02 
0.02 
0.02 
0.02 

0.02 
0.02 
0.02 
0.02 

c.oi 

0.01 
0.01 
0.01 
0.01 
0.01 

0.01 
0.01 
0.01 
+0.01- 
0.00 

0.00 
0.00 
0.00 
0.00 
0.00 

0.00 

0.00 
—0.01+ 

0.01 

0.01 
-0.01 + 



Arg. = © - a 



R.A. 



Dec. 



+0.01- 
0.01 
0.01 
0.01 
0.01 

0.01 
0.0 1 

0.01 

0.01 

+0.01 — 

0.00 
0.00 
0.00 
0.00 
0.00 

0.00 
0.00 
0.00 
0.00 
—0.01 + 

0.01 
0.01 
0.01 
0.01 
0.01 

0.01 
0.01 
0.01 
001 
0.02 

0.02 
0.02 
0.02 
0.02 
0.02 

0.02 
0.02 
0.02 
0.02 
0.02 

0.02 
0.02 
0.02 
0.02 
02 

0.02 

0.02 
0.02 
0.02 
0.02 
—0.01 + 



—0.02+ 
0.02 
0.02 
0.02 
0.02 

0.02 
0.02 
0.02 
0.02 
0.01 

0.01 
0.01 
0.01 
0.01 
0.01 

0.01 
0.01 
—0.01 + 
0.00 
0.00 

0.00 
0.00 
0.00 
0.00 
0.00 

0.00 
+0.01- 
0.01 
0.01 
0.01 

0.01 

0.01 
0.01 
0.01 
0.01 

0.01 
0.01 
0.02 
0.02 
0.02 

0.02 
0.02 
0.02 
0.02 
0.02 

0.02 
0.02 
0.02 
02 
0.02 
+0 02- 



SPECIAL TABLES. 



251 



1 






TABLE XXVIII. 










Terms for Circumpolar Stars depending on 2 J) . 










Argument = 


Arg. 2 }) (p. 253) + Sidereal Day 


(Tab. xxiv.) — 






a Ursaj Minoris. 


51 Cephei. 


6 VrssQ Minoris. 


A Ursie Minoris. 


Argument. 




. 


■ 










R.A. 


Dec. 


R.A. 


Dec. 


R.A. 


Dec. 


R.A. 


Dec. 


d 
0.0 


—0.20 


+0.05 


+0.05 


+0.08 


—0.01 


—0.09 


—0.14 


—0.08 


1 


0.24 


+0.02 


—0.01 


0.09 


+0.03 


0.08 


—0.02 


0.09 


2.0 


0.24 


—0 02 


0.06 


0.08 


0.06 


0.06 


+0.09 


0.08 


3.0 


0.19 


0.05 


0.10 


0.05 


0.08 


—0.02 


0.2 L 


0.05 


4.0 


—0.09 


0.08 


0.12 


+0.01 


0.08 


+0.02 


0.27 


—0.01 


5.0 


+0.02 


0.08 


0.12 


—0 03 


0.06 


0.05 


0.28 


+0.02 


60 


0.J2 


0.07 


0.09 


0.06 


+0.04 


0.08 


0.23 


0.06 


7.0 


0.20 


0.05 


—0.04 


0.08 


0.00 


0.09 


+0.13 


0.08 


8.0 


0.24 


—0.01 


+0.02 


0.09 


—0.03 


0.08 


0.00 


0.09 


9.0 


0.23 


+0.03 


0.07 


0.07 


0.06 


0.05 


—0.12 


0.08 


10.0 


0.17 


0.06 


0.11 


—0.05 


0.08 


+0.01 


0.22 


0.05 


11.0 


+0.08 


0.08 


0.13 


0.00 


0.08 


—0.02 


0.28 


+0.01 


22.0 


—0.03 


0.08 


0.12 


+0.04 


0.06 


0.06 


0.27 


—O.03 


13.0 


0.14 


0.07 


0.08 


0.07 


—0.03 


0.08 


0.21 


0.06 


V.S 


0.21 


+0.04 


+0.03 


0.09 


+0.01 


0.09 


—0.11 


0.08 


1.3 


0.25 


0.00 


—0.03 


0.09 


0.04 


0.08 


+0.02 


0.09 


2.3 


0.23 


—0.03 


0.08 


0.07 


0.07 


0.05 


0J4 


0.07 


3.3 


0.16 


0.06 


0.11 


+0.04 


0.08 


—0.01 


0.24 


—0.04 


4.3 


—0.06 


0.08 


0.13 


0.00 


0.07 


+0.03 


0.28 


• 0.00 


5.3 


+0.05 


0.08 


0.11 


—0.04 


0.06 


0.06 


0.27 


+0.03 


63 


0.15 


0.06 


0.08 


0.07 


+0.03 


0.09 


0.20 


0.07 


7.3 


0.22 


—0.04 


—0.02 


0.09 


—0.01 


0.09 


+0.09 


0.09 


8 3 


0.25 


0.00 


+0.03 


0.09 


0.04 


0.07 


—0.04 


0.08 


9.3 


0.22 


+0.04 


0.08 


0.07 


0.07 


+0.04 


0.16 


0.07 


10.3 


0.15 


0.07 


0.12 


—0.03 


0.08 


0.00 


0.25 


+0.04 


11.3 


+0.05 


0.08 


0.13 


+0.01 


0.07 


—0.03 


0.28 


—0.0 1 


12 3 


—0.07 


0.08 


0.11 


0.05 


0.05 


0.07 


0.26 


0.04 


13.3 


0.16 


0.06 


0.07 


0.07 


—0.02 


0.09 


0.19 


0.07 





0.23 


+0 03 


+0.01 


0.09 


+0.02 


0.09 


—0.07 


09 


1.6 


0.25 


—0.01 


—0.04 


0.08 


0.05 


0.07 


+0.06 


0.08 


26 


0.21 


0.04 


0.09 


0.06 


0.07 


—0.04 


0.17 


0.07 


■ 3.6 


0.13 


0.07 


0.12 


+0.03 


0.08 


0.00 


0.25 


—0.03 


4.6 


—0 03 


0.08 


0.12 


—0.0 1 


0.07 


+0.04 


0.28 


+0.01 


5.6 


+0.08 


0.08 


0.10 


0.05 


0.05 


0.07 


0.25 


0.04 


6.6 


0.18 


0.06 


0.06 


0.08 


+0.02 


0.09 


0.17 


0.08 


76 


0.23 


—0.03 


—0.01 


009 


—0.02 


0.08 


+0.05 


0.09 


86 


0.24 


+0.01 


+0.05 


0.08 


0.05 


0.07 


—0.07 


0.08 


9.6 


0.20 


0.04 


0.10 


0.06 


0.07 


+0.03 


0.19 


0.06 


10.6 


0.12 


0.07 


0J2 


—0.02 


0.08 


-0.01 


0.26 


+0.02 


11.6 


. +0.01 


0.08 


0.12 


+0.02 


0.07 


0.04 


0.28 


—0.02 


12.6 


—0.10 


0.08 


0.10 


0.06 


0.04 


0.08 


0.24 


0.05 


13.6 


0.19 


0.05 


+0.05 


0.08 


—0.01 


0.09 


0.15 


0.08 


0.9 


0.24 


+0.02 


o.oo 


0.09 


+0.03 


0.08 


—0.03 


0.09 


1.9 


0.24 


—0.02 


—0.06 


0.08 


0.06 


0.06 


+0.09 


0.08 


2.9 


0.20 


0.05 


0.10 


0.05 


0.08 


—0.03 


0.20 


0.06 


3.9 


-0.10 


0.07 


0.12 


+0.02 


0.08 


+0.02 


0.27 


—0.02 


4.9 


0.00 


0.08 


0.12 


—0.03 


0.07 


0.05 


0.28 


+0.02 


5.9 


+0.11 


0.07 


0.09 


0.06 


+0.04 


0.08 


0.23 


0.05 


6.9 


0.20 


0.05 


—0.05 


0.08 


0.00 


0.09 


0.14 


0.08 


7.9 


0.24 


—0.02 


+0.01 


0.09 


—0.03 


0.08 


+0.02 


0.09 


8.9 


0.24 


+0.02 


0.06 


0.08 


0.06 


0.06 


—0.11 


0.08 


" n 


0.18 


0.05 


0.11 


0.05 


0.08 


+0.02 


0.22 


0.05 


10.9 


+0.09 


0.08 


0.12 


—0.01 


0.08 


—0.02 


0.28 


+0.01 


11.9 


—0.02 


0.08 


0.12 


+0.03 


06 


0.05 


0.28 


—0.03 


12 9 


—0.13 


+0.07 


+0.09 


+0.07 


—0.03 


—0.08 


- 0.22 


—0.06 
- — 



252 



SPECIAL TABLES. 









TABLE XXVIII. 












Terms for Circumpolar Stars dependi 


ng on 2 ]) . 












Argument = 


Arg. 2 D (p. 253) + Sidereal Day 


(Tab. xxiv 


)- 






Argument. 


a Ursse Minoris. 


51 Cephei. 


6 UrsEe Minoris. 


?» Ursse Minoris. 












1 












R.A. 


Dec. 


R.A. 


Dec. 


R.A. 


Dec. 


R.A. 


Dec. 




d 

0.2 


s 
—0.21 


+0.04 


+0.04 


// 
+0.08 


0.00 


—0.09 


s 
—0.12 


—0.08 




1.2 


0.25 


+0.01 


—0.02 


0.09 


+0.04 


0.08 


0.00 


0.09 




2.2 


0.23 


—0.03 


07 


0.07 


0.06 


0.05 


+0.13 


0.07 




3.2 


0.17 


0.06 


0.11 


+0.04 


0.08 


—0.01 


0.23 


0.05 




4.2 


—0.07 


0.08 


0.13 


0.00 


0.08 


+0.03 


0.28 


—0.01 




52 


+0.04 


0.08 


0.11 


—0.04 


0.06 


0.06 


0.27 


+0.03 




6.2 


0.14 


0.07 


0.08 


0.07 


+0.03 


0.08 


0.21 


0.06 




7.2 


0.22 


—0.04 


—0.03 


0.09 


—0.01 


0.09 


+0.10 


0.08 




8.2 


0.25 


0.00 


+0.03 


0.09 


0.04 


0.07 


—0.02 


0.09 




9.2 


0.22 


+0.03 


0.08 


0.07 


0.07 


0.05 


0.15 


0.07 




10.2 


0.16 


0.06 


0.11 


—0.03 


0.08 


+0.01 


0.24 


+0.04 




13.2 


+0.06 


0.08 


0.13 


0.00 


0.07 


—0.03 


0.28 


0.00 




32.2 


—0.05 


0.08 


0.11 


+0.04 


0.05 


O.OC 


0.27 


—0.04 




132 


0.16 


0.06 


0.07 


0.07 


—0.02 


0.09 


0.20 


0.07 




0.5 


0.22 


+0.03 


+0.02 


0.09 


+0.01 


0.09 


—0.09 


0.09 




15 


0.25 


0.00 


—0.04 


0.08 


0.05 


0.07 


+0.04 


0.08 




2.5 


0.22 


—0.04 


0.08 


0.07 


0.07 


—0.04 


0.16 


0.07 




3.5 


0.14 


0.07 


0.12 


+0.03 


0.08 


0.00 


0.25 


—0.04 




4.5 


—0.04 


0.08 


0.12 


—0.01 


0.07 


+0.04 


0.28 


+0.01 




5.5 


+0.07 


0.08 


0.11 


0.05 


0.05 


0.07 


0.26 


0.04 




6.5 


0.17 


0.06 


0.07 


0.07 


+0.02 


0.09 


0.18 


0.07 




7.5 


0.23 


—0.03 


—0.01 


0.09 


—0.02 


0.09 


+0.07 


0.09 




8.5 


0.25 


+0.01 


+0.04 


0.08 


0.05 


0.07 


—0.06 


0.08 




95 


0.21 


0.04 


0.09 


0.06 


0.07 


+0.04 


0.18 


0.06 




10.5 


0.13 


0.07 


0.12 


—0.02 


0.08 


0.00 


0.26 


+0.03 




11.5 


+0.02 


0.08 


0.12 


+0.01 


0.07 


—0.04 


0.28 


—0.01 




12.5 


—0.09 


0.08 


0.10 


0.05 


0.05 


0.07 


0.25 


0.05 




135 


0.18 


0.06 


+0.06 


0.08 


—0.01 


0.09 


0.17 


0.08 




0.8 


0.24 


+0.02 


0.00 


0.09 


+0.02 


0.08 


—0.05 


0.09 




1.8 


0.24 


—0.0 1 


—0.05 


0.08 


0.05 


0.06 


+0 08 


0.08 




2.8 


0.21 


0.04 


0.10 


0.06 


0.07 


—0.03 


0.19 


0.06 




3.8 


0.11 


0.07 


0.12 


+0.02 


0.08 


+0.01 


0.26 


—0.02 




4.8 


—0.01 


0.08 


0.12 


—0.02 


0.07 


0.05 


0.28 


+0.02 




5.8 


+0.10 


0.07 


0.10 


0.06 


0.04 


0.08 


0.24 


0.05 




6.8 


0.19 


0.05 


—0.05 


08 


+0.01 


0.09 


0.15 


0.08 




78 


0.24 


—0.02 


+0.01 


0.09 


—0.03 


O.08 


+0.03 


0.09 




8.8 


0.24 


+0.02 


0.06 


0.08 


0.06 


0.06 


—0.10 


0.08 




9.8 


0.19 


0.05 


0.10 


0.05 


0.08 


+0.03 


0-21 


O.05 




10.8 


+0.10 


0.07 


0.12 


—0.01 


0.08 


—0.02 


0.27 


+0.02 




118 


—0.01 


0.08 


0.12 


+0.03 


; 0.06 


0.05 


0.28 


. —0.02 




12.8 


0.12 


0.07 


0.09 


0.06 


—0.04 


0.08 


0.23 


0.05 




0.1 


0.20 


0.05 


! +0.04 


0.08 


0.00 


0.09 


0.13 


0.O8 




1.1 


0.24 


+0.01 


—0.0 1 


0.09 


+0.03 


0.08 


—0.01 


0.09 




2.1 


0.24 


—0.02 


0.07 


0.08 


0.06 


0.05 


+0.12 


0.08 




3.1 


0.18 


0.06 


0.11 


+0.05 


0.08 


—0.02 


0.22 


0.05 




4.3 


—0.09 


0.08 


0.12 


0.00 


0.08 


+0.02 


0.28 


—0.01 




5.1 


+0.03 


0.08 


0.12 


—0.03 


0.06 


0.06 


0.28 


+0.03 




6.1 


0.13 


0.07 


0.08 


0.07 


i +0.03 


0.08 


0.22 


0.06 




7.1 


0.21 


—0.04 


—0.03 


0.08 


0.00 


0.09 


+0.12 


O.08 




8.1 


0.25 


0.00 


+0.02 


0.09 


—0.04 


0.08 


—0.0 1 


0.09 




9.1 


0.23 


+0.03 


a 07 


0.07 


0.06 


0.05 


0.13 


0.07 




10.1 


0.17 


0.06 


0.11 


—0.04 


0.08 


+0.01 


23 


0.04 




11.1 


+0 07 


0.08 


0.13 


0.00 


0.08 


—0.03 , 


0.28 


+0.01 




12.1 


—0.04 


08 


0.11 


+0.04 


0.06 


0.06 


0.27 


—0.03 




13.1 


—0.15 


+0.07 


+0.08 


+0.07 


—0.03 


—0.08 


—0.20 


—0.06 

























SPECIAL TABLES. 



253 







TABLE XXV11I. 






Terms for Ci 


cumpolar Stars depending on 2 ]) . 






Argument = 


Arg. 2 D (p 


. 253) + Sidereal Day (Tab. xxiv.) 




Argument. 


a Ursse Minoris. 


51 Cephei. 


6 Ursse Minoris. 


A Ursse Minoris. 




















R.A. 


Dec. 


R.A. 


Dec. 


R.A. 


Dec. 


R.A. 


Dec. 


d 
0.4 


—0.22 


+0.04 


+0 03 


+0.09 


+0 01 


// 
—0.09 


—0.10 


—0.08 


1.4 


0.25 


0.00 


—0.03 


0.09 


0.04 


0.07 


+0.03 


0.09 


2.4 


0.22 


—0 03 


0.08 


0.07 


0.07 


0.04 


0.15 


0.07 


3 4 


0.15 


0.07 


0.12 


+0.03 


0.08 


—0,01 


0.24 


—0.04 


4.4 


—0.05 


0.08 


0.13 


—0.01 


0.07 


+0.03 


0.28 


0.00 


54 


+0.06 


0.08 


0.11 


0.04 


0.05 


0.07 


0.26 


+0.04 


6.4 


0.16 


0.06 


0.07 


0.07 


+0.02 


0.09 


0.19 


0.07 


7.4 


0.23 


—0.03 


—0.02 


0.09 


—0.01 


0.09 


+0.08 


0.09 


8.4 


0.25 


+0.01 


+0.04 


0.08 


0.05 


0.07 


—0.05 


0.08 


9.4 


0.21 


0.04 


0.09 


0.07 


0.07 


+0.04 


0.16 


0.07 


10.4 


0.14 


007 


0.12 


—0.03 


0.08 


0.00 


0.25 


+0.03 


11.4 


+0.03 


0.08 


0.12 


+0.01 


0.07 


—0.04 


0.28 


—0.01 


12.4 


—0.08 


0.08 


0.11 


0.05 


0.05 


0.07 


0.26 


0.04 


13.4 


0.17 


0.06 


0.06 


0.08 


—0.02 


0.09 


0.18 


0.07 


0.7 


0.23 


+0.03 


+0.01 


0.09 


+0.02 


0.08 


—0.06 


0.09 


1.7 


0.24 


—0.01 


—0.05 


0.08 


0.05 


0.07 


+0.07 


0.08 


27 


2J 


0.04 


0.09 


0.06 


0.07 


—0.03 


0.18 


0.06 


3.7 


0.12 


0.07 


0.12 


+0.02 


0.08 


0.00 


0.26 


—0.02 


4.7 


—0.02 


0.08 


0.12 


—0.02 


0.07 


+0.04 


0.28 


+0.01 


5.7 


+0.09 


0.08 


0.10 


0.05 


0.05 


0.08 


0.25 


0.05 


6.7 


0.18 


0.06 


—0.06 


0.08 


+0.01 


0.09 


0.16 


0.08 


7.7 


0.24 


—0.02 


0.00 


0.09 


—0.02 


0.08 


+0.04 


0.09 


8.7 


0.24 


+0.02 


+0.06 


0.08 


0.05 


0.06 


—0.09 


08 


9.7 


0.20 


0.05 


10 


0.06 


0.07 


+0.03 


0.20 


0.06 


10.7 


+0.11 


0.07 


0.12 


—0.02 


0.08 


—0.01 


0.27 


+0.02 


11.7 


0.00 


0.08 


0.12 


+0.03 


0.07 


0.05 


0.28 


—0.02 


12.7 


—0.11 


+0.07 


+0.09 


+0.06 


—0.04 


—0.08 


—0.24 


—0.05 




The argument 2 I 


). 


M 


ultiples of the Period of the Argument 2 D . 




1860 


d 

0.8 


8 


1 




A 

13.70 


16 


219.17 




1861 


10.9 


7 


S 




27.40 


17 


232.87 






1862 


7.3 


6 


£ 


1 


41.09 


18 


246.57 






1863 


3.7 


5 


4 


I 


54.79 


19 


260.27 






1864 


0.1 


4 




> 


68.49 


20 


273.96 






1865 


10.2 


3 


i 




82.19 


21 


287.66 






1866 


6.6 


2 


; 




95 89 


22 


301.36 






1867 


3.0 


I 


c 


J 


109.59 


23 


315.06 






1868 


13.1 





c 


> 


123.28 


24 


328.76 






I860 


9.4 


9 


1( 


> 


136.98 


25 


342.45 






1870 


5.P 


8 


11 


L 


150.68 


26 


356.15 






1871 


2.2 


7 


I, 


I 


164.38 


27 


369.85 






1872 


12.3 


6 


li 


i 


178.08 










1873 


8.7 


6 


14 


I 


191.77 










1874 


5.1 


5 


If 




205.47 










1875 


1.5 


4 
















1876 


11.6 


3 
















1877 


8.0 


o 
















1878 


4.4 


I 
















1879 


0.8 



















•1880 


10.8 


9 















251 



SPECIAL TABLES. 



TABLE XXIX.— Reductions of the mean places of the Stars in the American Ephemeris, 
1885-69, to those adopted in these Tables. 

[* is reckoned from 1865.0.] 

IN RIGHT ASCENSION. 



8 Hydri. . 

t Piscium . 

a Ursse Minoris 

i] Piscium . 

a Persei . . 



a Columbae . 
51 Cephei 
fi Leonis 
/ Leonis 
o Virginis . 

8 Chamseleoutis 
a 1 Crucis. . . 
8 Corvi . . . 
3 Centauri . 



R.A. 
0/i 


1 

1 

3 

5 

C 

9 
10 
11 

12 
12 
12 
13 



—0.221 — 0,0188* 

—0.050 — 0.0010* 

+1.113 4-0.0512* 

+0.005 —0.0005* 

—0.022 —0.0002* 

—0.033 -0.0013* 

+0.483 +0.0332* 

+0.027 +0.0007* 

+0.040 0.0000* 

—0.049 —0.0009* 

—0.007 —0.0002* 

—0.005 —0.0004* 

+0.079 +0.0029* 

—0.003 0.0000* 



a 2 Centauri 



8 l Scorpii . 

r\ Draconis . . 

t, Ophiuchi 

8 Draconis . . 


15 
16 
16 
17 


6 Ursse Minoris . 
d Sagittarii . . 
r Aquilse . 
A Ursse Minoris . 
Groombridge 3241 


18 
19 
19 
19 

20 



ePCygni . 
1 Pegasi . 
[i Capricorni 
A Aquarii . 



R.A. 
Uh 



21 
21 
21 

22 



—0.025 —0.0020* 

+0.042 +0.0002* 

—0.519 —0.0196* 

—0.023 —0.0003* 

+0.024 +0.0003* 

—0 084 —0.0022* 

—0.050 —0.0010* 

—0.073 —0.0013* 

+0.537 —0.0048* 

+0.210 +0.0050* 

+0.287 +0.0138* 

—0.010 —0.0010* 

—0.035 —0.0015* 

+0.025 +0.0005* 



IN DECLINATION. 



a Andromedse 

y Pegasi 

8 Hydri. 

a Cassiopeae 

8 Ceti . 

e Piscium 

a Ursse Minoris 

l Ceti . 

/a Piscium 

o Piscium 

8 Arietis 

a Arietis 

£i Ceti . 

y Ceti . 

a Ceti . 

f Arietis 

a Persei 

6 Persei 

7} Tauri 

C Persei 



7 Tauri . 
e Tauri . 
a Tauri . 
i Aurigse 

1 1 Ononis 

a Aurigse 

8 Ononis 
'8 Tauri . 
(5 Orionis 



a Leporis 

e Orionis 

a Columbae 

a Orionis 

(i Geminorum 



R.A. 
0/i 








1 
1 
1 

1 

1 
1 

2 
2 
2 

3 
3 
3 
3 
3 

3 
4 
4 
4 
4 

4 
5 
5 
5 
5 

5 
5 
5 
5 
6 



—0.23 —.005* 
+0.38 +.012* 
—0.03 .000* 
—0.48 —.006* 
+1.11 +.019* 

+0.61 +.025* 
—0.15 —.005* 
+1.42 +027* 
+1.05 +.018* 
+0 41 +.028* 

+0.74 +.016t 
+0.11 +.003* 
—0.20 +.029* 
+1.73 +.037* 
+0.40 +.014* 

+0.47 +.013* 

—0.04 +.001* 

—0.35 .000* 

+0 29 +.012* 

+0.17 +.026* 

+1.44 +.031* 
+0.86 +.028* 
+1.27 +.022* 
— 0.D8 —.00 It 
+0.73 +.008* 

+0.29 +.019* 
—0.38 —.004* 
+0.60 +.016* 
+0.61 +.020* 
+0.88 +.030* 

+0.74 +.026* 
+0.73 +.014* 
—0.76 —.022* 
+0.79 +.017* 
+1.35 +.033* 



7 Geminorum . 
51 Cephei . . 
e Canis Majoris 
6 Canis Majoris 
d Geminorum . 

8 Geminorum * 
(j> Geminorum . 
15 Argus . 

e Hydrse . . 
i Ursse Majoris 

k Cancri 

a Hydrse 

6 Ursse Majoris 

£ Leonis 

H Leonis 

a Leonis 
7 l Leonis 
p Leonis 
* Leonis 
a Ursse Majoris 

6 Leonis 

6 Crater is . 
r Leonis 
v Leonis 
(3 Leonis 

7 Ursse Majoris 
o Virginis . 

7] Virginis . 

8 Corvi . . . 
12 Can. Venat. . 



6 Virginis . 

a Virginis . 

f Virginis . 

7] Ursse Majoris 

i] Bootis. . . 



R.A. 
6/* 
6 
6 
6 
7 

7 
7 



9 
9 
9 
9 
9 

10 
10 
10 
10 
10 

11 
11 
11 
11 
11 

11 
11 
12 
12 
12 



13 
13 
13 
13 
13 



+0.76 +.013* 
—0.40 —.048* 
+1.80 +.024* 
+0.94 +.027* 
+1.02 +.029* 

+0.63 +.017* 
+1.28 +.036* 
+0.89 +.013* 
+0.62 +.018* 
—0.13 +.014* 

+1.16 +.031* 

+0.15 +.006* 
+0.47 +.015* 
+0.83 +.014* 
+0.34 +.014* 

+0.62 +.011* 

+1.50 +.031* 

+ 1.07 +.031* 

+1.34 +.019* 

+0.19 +.006* 

+1.06 +.015* 
+1.57 +.016* 
+ 0.58 +.011* 
+0.74 +U23* 
+0.37 +.010* 

+0.10 +.0C5* 
+1.35 +.030* 
+0.65 +.018* 
+2.32 +.033* 
+0.26 +.005* 

+0.83 +.020* 
+0.56 +.016* 
+0.70 +.008* 
-0.22 —.002* 
+1.21 +.027* 



SPECIAL TABLES. 



255 



TABLE XXIX.— Reductions of the mean places of the Stars in the American Ephemeris, 




1865-69, to those adopted in these Tables. 








[* is reckoned from 1865.0.] 










IN DECLINATION. 








R.A. 


// '// 




R.A. 


// // ! 


a Bootis 


. J4/t 


+0.09 +.005* 


a Sagittarii 


. 18A 


+0.73 +.018* 


6 Bootis 


. 14 


+0.85 +.015* 


C Aquilse . . . 


. 18 


+0.24 +.015* 


a 3 Centauri . . 


. 14 


—0.10 — .012* 


d Sagittarii 


. 19 


+3.84 +.030* 


e Bootis 


. 14 


+0.97 +.020* 


6 Aquilae . 


. 19 


+0.67 —.007* 


a" Librae 


. 14 


+0.25 .000* 


k Aquilae . 


. 19 


+ 1.61 +.022* 


/3 Bootis . . . 


. 14 


+1.06 +.021* 


y Aquilae . . . 


. 19 


+0.04 .000* 


(3 Librae . . . 


. n 


+1.20 +.006* 


a Aquilae . . 


. 19 


+0.01 —.003* 


(i l Bootis 


. 15 


+0.48 +.009* 


Aquilae . 


. 19 


+0.53 -\-.0l4t 


a Coronce Borealis 


. 15 


—0.39 —.012* 


r Aquilae . 


. 19 


+0.97 +.009* 


a Serpentis . . 


. 15 


+0.11 .000* 


A Ursae Minoris . 


. 19 


—0.52 —.014* 


e Serpentis . . 


. 15 


+0.63 +.010* 


a 2 Capricorni . 


. 20 


+0.26 +.006* 


e Coronce Borealis 


. 15 


+1.16 +.016* 


77 Capricorni . 


. 20 


+0.53 —.050* 


6 Scorpii . 


. 15 


+1.60 +.012* 


e Delphini 


. 20 


+0.94 —.020* 


/i 1 Scorpii . . . 


. 15 


+0.29 +.001* 


a Cygni . . . 


. 20 


—0.24 —.005* 


6 Ophiuchi 


. 16 


+1.45 +.002* 


[i Aquarii . 


. 20 


+0.95 +.020* 


r Herculis 


. 16 


+0.32 —.004* 


v Cygni . . . 


. 20 


+0.97 +.003* 


a Scorpii . . . 


. 16 


—0.21 —.004* 


OPCygni . . . 


. 21 


+0.88 +.025* 


?; Draconis 


. 16 


—0.70 —.012* 


C Cygni . . . 


. 21 


+0.77 +.014* 


f Ophiuchi 


. 16 


+ 1.11 +.017* 


1 Pegasi . 


. 21 


+0.03 —.003* 


i] Herculis. . . 


. 16 


+0.75 +.006* 


Aquarii . . . 


. 21 


+1.10 +.008* 


k Ophiuchi . . 


. 16 


+1.25 +.003* 


£ Aquarii . 


. 21 


+0.82 +.023* 


d Herculis. 


. 16 


+0.70 +.001* 


e Pegasi . . 


. 21 


+0.70 +.008* 


a 1 Herculis. . . 


. 17 


+0.05 —.002* 


[i Capricorni . 


. 21 


+1.73 +.011* 


44 Ophiuchi 


. 17 


+2.09 +.035* 


a Aquarii . 


. 21 


+0.18 —.002* 


Draconis . . 


. 17 


—0.06 —.004* 


d Aquarii . . . 


. 22 


+0.43 +.019* 


a Ophiuchi . . 


. 17 


—0.22 —.011* 


rr Aquarii . 


. 22 


+1.04 +.012* 


fj. Herculis. . . 


. 17 


+1.46 +.017* 


t] Aquarii . . 


. 22 


+0.53 +.010* 


y 2 Sngittarii 


. 17 


+0.92 +.010* 


£ Pegasi . . . 


. 22 


+0.65 +.007* 


fi l Sagittarii 


. 18 


+1.08 +.013* 


A Aquarii . 


. 22 


+1.08 +.023* 


(5 Ursao Minoris . 


. 18 


+1.01 +.024* 


a Piscis Australis 


. 22 


+0.66 +.010* 


7i Serpentis 


. 18 


+1.60 +.010* 


a Pegasi . 


. 22 


—0.30 —.011* 


1 Aquilae . . . 


. 18 


+1.85 +.020* 


d Piscium . 


. 23 


+1.86 +.034* 


a Lyrae 


. 18 


—0.33 —.002* 


t Piscium . . . 


. 23 


+0.89 +.014* 


8 Lyrae . . . 


. 18 


+0.92 +.017* 


o) Piscium . 


. 23 


+0.94 +.028* 


1 






— .„,.,■ 







256 



SPECIAL TABLES. 



TABLE XXX.— Correction of the place of a Canis Majoris (Sirius) due to orbital motion, 






for the beginning of each year 










R. A. 


Dec. 




R. A. 


Dec. 




R. A. 


Dec. 


Years. 






Years. 






Years. 








? 


r 




? 


r 




? 


r 




8 


„ 




s 


a 




s 


„ 


1750 


+0.183 


+0.85 


1800 


+0.134 


+0.81 


1850 


+0.086 


+0.76 


1751 


161 


0.81 


1801 


113 


0.75 


1851 


066 


0.69 


1752 


140 


0.75 


1802 


093 


0.68 


1852 


047 


0.61 


1753 


121 


0.67 


1803 


075 


0.59 


1853 


029 


0.51 


1754 


103 


0.58 


1804 


058 


0.50 


1854 


+0.013 


0.41 


1755 


087 


0.47 


1805 


042 


0.39 


1855 


-0.001 


0.31 


1756 


072 


0.37 


1806 


028 


0.28 


1856 


015 


0.19 


1757 


058 


0.25 


1807 


015 


0.16 


1857 


027 


+0.07 


1758 


045 


0.14 


1808 


+0.003 


+0.05 


1858 


038 


—0.04 


1759 


034 


+0.02 


1809 


—0.007 


—0.07 


1859 


048 


0.16 


1760 


024 


—0.10 


1810 


017 


0.19 


I860 


057 


0.28 


1761 


015 


0.22 


1811 


025 


0.31 


1861 


065 


0.41 


1762 


+0.007 


0.34 


1812 


033 


0.43 


1862 


072 


0.53 


1763 


0.000 


0.46 


1813 


039 


0.55 


1863 


078 


0.64 


1764 


—0.006 


0.58 


1814 


044 


0.67 


1864 


083 


0.76 


1765 


011 


0.70 


1815 


049 


0.79 


1865 


086 


0.88 


1766 


015 


0,82 


1816 


052 


0.90 


1866 


089 


0.99 


1767 


018 


0.93 


1817 


055 


1.02 


1867 


091 


1.10 


176b 


020 


1.04 


1818 


056 


1.13 


1868 


092 


1.21 


J 769 


021 


1.15 


1819 


057 


1.23 


1869 


092 


1.31 


1770 


021 


1.25 


1820 


056 


1.33 


1870 


091 


1.41 


1771 


020 


1.35 


1821 


055 


1.43 


1871 


089 


1.51 


1772 


018 


1.45 


1822 


052 


1.53 


1872 


086 


1.60 


1773 


016 


1.54 


1823 


049 


1.61 


1873 


082 


1.68 


1774 


012 


1.63 


1824 


045 


1.70 


1874 


077 


1.76 


1775 


007 


1.71 


1825 


041 


1.77 


1875 


072 


1.84 


1776 


—0.002 


1.78 


1826 


033 


1.84 


1876 


065 


3.90 


1777 


+0.005 


1.84 


1827 


020 


1.90 


1877 


057 


1.96 


1778 


013 


1.90 


1828 


018 


1.96 


1878 


048 


2.00 


1779 


022 


1.95 


1829 


—0.008 


2.00 


1879 


038 


2.04 


1780 


032 


1.99 


1830 


+0.002 


2.03 


1880 


026 


2.07 


1781 


043 


2.02 


1831 


014 


2.05 


1881 


— 0J4 


2.08 


1782 


055 


2.04 


1832 


027 


2.06 


1882 


0.000 


2.08 


1783 


068 


2.04 


1833 


041 


2.05 


1883 


+0.015 


2.07 


1784 


083 


2.03 


1834 


057 


2.03 


1884 


031 


2 03 


1785 


j 099 


1.99 


1835 


074 


1.99 


1885 


049 


1.97 


1786 


] 117 


1.94 


1836 


092 


1.91 


1886 


068 


1.88 


1787 


136 


1.85 


1837 


112 


1.82 


1887 


088 


1.77 


1788 


156 


1.74 


1838 


133 


2-68 


1888 


110 


1.60 


1789 


178 


3.59 


1839 


155 


1.51 


1889 


133 


1.40 


1790 


200 


1.39 


1840 


178 


1.27 


1890 


156 


1.12 


1791 


223 


1.13 


1841 


200 


0.96 


1891 


176 


77 


1792 


244 


0.79 


1842 


219 


0.59 


1892 


190 


—0.37 


1793 


259 


—0.39 


1843 


228 


— 0.16 


1893 


191 


+0.06 


1794 


263 


+0.04 


1844 


222 


+0.24 


1894 


178 


0.41 


1795 


252 


0.40 


1845 


205 


0.53 


1895 


156 


0.63 


1798 


231 


0.64 


1846 


182 


0.71 


1896 


131 


0.75 


1797 


206 


0.78 


1847 


J56 


0.79 


1897 


106 


0.80 


1798 


181 


0.83 


1848 


132 


0.82 


1898 


082 


0.79 


1799 


157 


0.84 


1849 


108 


0.80 


1899 


060 


0.76 


1800 


+0.134 


+0.81 


1850 


+0.088 


+0.76 


1900 


+0.039 


+0.70 



Prepared from the formulae of Auwers.— Astronomiscbe Nachrichten, vol. 63. No. 1506. 



SUPPLEMENTARY TABLES 



FOE SMALL TERMS OF NUTATION. 



17 



258 



SUPPLEMENTARY TABLES. 



!l 
TABLE XXXI.— Terms in the reduction of Mean to App't R. Ascensions depending on 2 d . i 


A' fl a = — S .0125 sin 2 <[ . A'J a = — [0 s . 00542 sin 2 <[ sin a + s . 00590 cos 2 


<J cos a\ tan 6. 


Side Arg. = Arg, IV (p. 34) + d' + day of year. Hor. Arg. = Star's R. Ascension. 

i 


> 

<3 


A; a. 


A" a -s- tan 6. To be multiplied by tan S 


> 

< 

d I 

0.0 


0" 


I* 


2* 


3* 


4 h 


5" 


(>" 


7" 


8" 


9" 


10" 


11" 


.1! 


2" 
>9 


d 

0.0 


—0.000 


-0.0059 


—57 


-51 


-42 


—29 


— 15 


—00 


+15 


+29 


+42 


+51 


+57 


+< 


0.5 


03 


57 


59 


56 


50 


39 


26 


12 


+03 


18 


32 


44 


52 


57 


0.5 


1.0 


05 


53 


58 


58 


54 


47 


37 


24 


—10 


+05 


20 


34 


45 


53 


1.0 


1.5 


08 


45 


53 


57 


57 


53 


45 


35 


22 


—07 


+07 


22 


35 


45 


1.5 


2.0 


10 


36 


46 


52 


55 


55 


51 


43 


32 


19 


-06 


+09 


23 


36 


2.0 


2.5 


11 


24 


3(5 


45 


52 


54 


54 


49 


42 


31 


18 


—04 


+11 


24 


2 5 


30 


12 


— 11 


25 


36 


45 


51 


54 


53 


49 


40 


30 


17 


-03 


+ 11 


3.0 


3.5 


12 


+ 02 


— 12 


25 


37 


46 


51 


54 


52 


48 


39 


29 


16 


—02 


3.5 


4.0 


12 


15 


+02 


-13 


26 


37 


46 


52 


54 


53 


48 


39 


29 


15 


4.0 


4.5 


11 


28 


15 


00 


14 


27 


39 


48 


53 


55 


53 


48 


40 


28 


4.5 


5.0 


09 


39 


27 


+14 


—01 


15 29 


40 


49 


55 


56 


54 


48 


39 


5.0 


5.5 


07 


48 


39 


26 


+12 


-02 | 18 


31 


42 


51 


56 


57 


55 


4* 


5.5 


G.O 


05 


54 


48 


37 


24 


+ 10 


—05 


21 


33 


45 


53 


57 


59 


54 


6.0 


G.5 


—0.002 


58 


54 


47 


36 


22 


+07 


—08 


23 


36 


47 


55 


59 


58 


6.5 


7.0 


+0.001 


59 


58 


53 


45 


33 


19 


+04 


— 11 


25 


39 


49 


56 


59 


70 


7.5 


04 


56 


59 


57 


52 


42 


30 


16 


+01 


14 


28 


41 


50 


56 


7.5 


8.0 


00 


51 


58 


58 


55 


49 


39 


28 


14 


-01 


16 


30 


42 


51 


8.0 


8.5 


09 


42 


51 


55 


57 


54 


47 


37 


25 


+11 


—03 


18 


31 


42 


8.5 


0.0 


10 


32 i 43 


50 


55 


55 


52 


45 


36 


23 


+09 


—05 


20 


32 


9.0 


9.5 


12 


20 


33 


43 


50 


54 


54 


51 


44 


34 


22 


+08 


—07 


20 


9.5 


10.0 


12 


+ 07 


21 


32 


43 


50 


53 


53 


50 


43 


33 


21 


+07 


-07 


10.0 


10.5 


12 


— 07 


+07 


21 


33 


43 


50 


53 


53 


50 


43 


32 


21 


+07 


10.5 


11.0 


12 


20 


—07 


+08 


22 


34 


44 


51 


54 


54 


50 


4:5 


33 


20 


11.0 


11.5 


10 


32 


20 


-05 


+09 


23 


36 


45 


52 


55 


55 


50 


43 


32 


11.5 


12.0 


09 


42 


31 


18 


—03 


+ H 


25 


37 


47 


54 


57 


55 


51 


42 


12.0 


12.5 


06 


51 


43 


30 


16 


—01 


14 


27 


39 


49 


55 


58 


58 


51 


12.5 


13.0 


04 


56 


50 


41 


28 


14 


+01 


16 


31 


42 


52 


57 


59 


56 


13.0 


13.5 


-f-0.001 


59 


56 


49 


39 


26 


—11 


+04 


19 


32 


45 


53 


58 


59 


13.5 


14.0 


—0.002 


-0.0058 


—59 ■ 


-55 


—47 


-36 


—23 


—08 


+07 


+22 


+36 


+46 


+54 


+58 


14.0 






i» 


13 h 


14 h 


I5 h 


16" 


17" 


18" 


19" 


20" 


21" 


22" 


23" 


24" 




TABLE XXXII.— Terms in the reduction of Mean to App't R. Ascensions depe 


ndingon^ — r'. 


&'" a = + C s .0041 siu ( <{ — F). A% = + a .00180 sin ( ([ — I") sin a 


X tan 6. 

i 


Side Arg. = Arg. V (p 34) -f- d' + day of year. Hor. Arg. = Star's Right Ascension. 


to 

< 


*l* a 


A'q a ■*• tan 6. To be multiplied by tan <5. 


> 

til 

< 


A« a. 


A 1 ! a -r- tan J. To b( 


) multiplied by 


tan 6. 


\ h 
-} 12" 


1" 

llh 


2 h 

I0 h 


3* 
9» 


4 h 
+0 


5 h 

7" 

+0 


6* 

6" 

+o 


„ s ° 


1 Hh 


2" 
10" 


3" 
9" 


4" 

8" 


5" 

7" 


6" 
6" 


d 
- 


f o.ooo 


1.0000 


+o 


+0 


d 
14 


—0.000 


0.0000 


-0 


— 


— 1 


— 1 


— 1 


1 


1 





1 


2 


3 


4 


4 


4 


15 


1 





1 


2 


3 


3 


4 


4 


2 


2 





2 


4 


6 


7 


8 


8 


16 


2 





2 


4 


6 


8 


9 


9 


3 


3 





3 


6 


8 


10 


11 


11 


17 


3 





3 


6 


9 


10 


12 


12 


4 


3 





4 


.7 


10 


12 


14 


14 


18 


3 





4 


7 


10 


13 


14 


15 


5 


4 





4 


8 


11 


14 


16 


16 


19 


4 





4 


8 


12 


14 


16 


17 


(J 


4 





5 


9 


13 


15 


17 


18 


20 


4 





5 


9 


13 


15 


17 


18 


7 


4 





5 


9 


13 


16 


18 


18 


21 


4 





5 


9 


13 


15 


17 


IS 


8 


4 





4 


9 


12 


15 


17 


17 


22 


4 





4 


9 


12 


15 


17 


17 


9 


4 





4 


8 


11 


14 


15 


16 


23 


4 





4 


8 


11 


13 


15 


15 


10 


3 





3 


7 


10 


12 


13 


14 


24 


3 





3 


7 


9 


11 


13 


i:>, 


11 


2 





3 


5 


8 


9 


10 


11 


25 


o 





3 


5 


7 


9 


10 


10| 


12 


o 





2 


4 


5 


6 


7 


7 


26 


1 





2 


3 


4 


5 


6 


6 


13 


1 





+1 


+2 


+2 


+3 


+3 


+3 


27 


1 





— i 


— 1 


-2 


—2 


—2 


—2 


14 ■ 


-f-0.000 


0.0000 








— 1 


— 1 


— 1 


— 1 


28 —0.000 


0.0000 





+1 


+1 


+2 


+2 


+2 
18" 




_5 12" 
~~ > 24" 


13* 


14i. 


I5 h 


I6h 


17" 


18" 


a- J ' 2 


» 13" 14" 


15" 


16" 


17' 


Q 


23* 


22" 


21* 


20" 


19" 


IS" 


1 23" | 22" 


21" 


20" 


19 L 


18" 



Change the signs of A '^ « a- d A ^ « when a > 12". 



SUPPLEMENTARY TABLES. 



259 



1 
TABLE XXXIII.— Terms in the reduction of Mean to App't Declinations depending on 2 <[ . 


A' G <* = — (UJ813 sin 2 (J cos a + 0.0886 cos 2 <{ sin a. 


Side Arg. = Arg. IV (p. 34) + rf' + day of year. Hor. Arg. = Star's R. Ascension. 


to 


G h 


1* 


2* 


;]h 


4 h 


5" 


6 h 


?" 


8" 


9" 


10" 


11" 


12 h 


> '■ 


(I 
O.C 


—0 00 


+0.02 


+0.04 


+0.06 


+0.08 


+0.08 


+0.09 


+0.0d 


+0.08 


+0.06 


+0.04 


+0.02 


+0.00 


d 
0.0 


0.5 


.02 


.00 


.02 


.05 


.0? 


,0b 


.09 


.09 


.08 


.0? 


.06 


.04 


.02 


0.5 


I.C 


.04 


— .01 


+ .01 


.03 


.05 


.07 


.08 


.09 


.09 


.08 


.0? 


.0( 


.04 


1.0 


1.5 


.05 


.03 


— .01 


+ .01 


.03 


.05 


.07 


.08 


.09 


.08 


.0b 


.o; 


.05 


1.5 


2.( 


.06 


.05 


.0^ 


— .01 


+ .01 


.03 


.05 


.07 


.08 


.08 


.08 


.08 .00 


2.0 


2 '• 


.07 


.06 


.05 


.03 


— .01 


+ .02 


.04 


.05 


.07 


.08 


.08 


.08 .07 


2.5 


3.1 


.08 


.07 


.06 


.04 


.03 


.00 


+ .02 


.04 


.05 


.07 


.08 


.081 .08 


3.0 


3.5 


.08 


.08 


.07 


.05 


.04 


— .02 


— .01 


+ .02 


.04 


.05 


.07 


.08! .08 


3.5 


, 4 - c 


.08 


.08 


.08 


.07 


.06 


M 


.02 


.00 


+ .02 


.04 


.06 


.07 .08 


4.0 


4.3 


.07 


.08 


.08 


.08 


.08 


.06 


.05 


— .02 


.00 


+ .02 


.04 


.06 .0? 


4.5 


5.C 


.06 


.07 


.08 


.08 


.08 


.07 


.06 


.04 


— .02 


.00 


+ .02 


.04 


[ .06 


5.0 


5! 


.05 


.06 


.08 


.08 


.09 


.06 


.07 


.06 


.04 


— .02 


.00 


.03< .05 


5.5 


6.C 


.03 


.05 


.07 


.08 


.09 


.09 


.08 


.07 


.06 


.04 


— .02 


+ .01 .03 


60 


6.5 


— .01 


.03 


.05 


.07 


.08 


.09 


.09 


.08 


.07 


.05 


.03 


— .0l!+ .01 


6.5 


7.C 


+ .01 


- .02 


.04 


.06 


.07 


.08 


.09 


.09 


.08 


.07 


.05 


.03 — .01 


7.0 


7.5 


.02 


.00 


— .02 


.04 


.06 


.07 


.08 


.09 


.08 


.08 


.06 


.04 .02 


7.5 


8.C 


.04'+ .02 


.00 


— .02 


.04 


.06 


.08 


.08 


.09 


.08 


.0? 


.06 .04 


8.0 


8.5 


•06| .04 


+ .01 


.00 


— .03 


.05 


.06 


.08 


.08 


.08 


.08 


.0* 


.06 


8 5 


9.C 


.07 


.05 


.03 


+ .01 


.01 .03 


.05 


.06 


.08 


.08 


.08 


.08 .0? 


9.0 


9.5 


.08 


.07 


.05 


.03 


+ .01 


— .01 


.03 


.05 


.06 


.07 


.08 


.08 .08 


9.5 


10.C 


.08 


.08 


.06 


.05 


.03 


+ .01 


- .01 


.03 


.05 


.06 


.07 


.08 .08 


I0.C 


10.5 


.08 


.08 


.07 


.06 


.05 


.03 


+ .01 


— .01 


.03 


.05 


.06 


.07 .08 


10.5 


li.C 


.08 


.08 


.08 


.07 


.06 


.05 


.03 


+ .01 


— .01 


.03 


.05 


.0' 


.08 


11. ( 


ll.fi 


.07 


.08 


.08 


.08 


.07 


.06 


.05 


.03 


+ .01 


— .01 


.04 


.0* 


) .07 


11.5 


J 2. 1 


.06 


.07 


.08 


.08 


.08 


.08 


.06 


.05 


.03 


+ .01 


— .02 


.0; 


I .00 


12.0 


i2.r 


.04 


.06 


.07 


.08 


.09 


.08 


.08 


.06 


.05 


.02 


.00 


— .OS 


I .04 


12. 


13.1 


+ .02| .05 


.06 


.08 


.09 


.09 


.08 


.08 


.06 


.04 


+ .02 


.0( 


) — .02 


13.0 


I3.C 


.00| .03 


.05 


.07 


.08 


.09 


.09 


.08 


.07 


.06 


.04 


+ .OS 


> .00 


13.5 


14.C 


—0.01| +0.01 


+0.03 


+0.05 


+0.07 


+0 08 


+ 0.09 


+0.09 


+0.08 


+0.07 


+0.05 


+o.o; 


5 +0.01 


14.0 




12b 


13^ 


]4 h 


15" 


16" 


]7 h 


18" 


19" 


20" 


21" 


22" 


23" 


24" 




TABLE XXXIV.— Terms in the reduction of Mean to App't Declinations dependingon d — r. 


A '(1 6 = + 0.0270 sin ( <{ — r') cos a. 


Side Arg. = Arg. V (p. 34) + d' + day of year. Hor. Arg. = Star's R. AsceDsion. 


> 

i • 


s <> h 


1* 


2" 


3* 


4 h 


5* 


6" 


*i L s e 1 


, ,h 


2" 


3" 4" 


5" 


6" 


1 f* 

< 


* = }24 h 


23" 


22" 


21* 


20" 


19" 


18" 


1 23" 


22" 


21" 20" 


19" 


lb" 


d 

u 


+0.00 


+'J.OO 


+0.00 


+0.00 


+0.00 


+0.00 


O.OOj 


d 
14 


-D.0( 


l -0.0( 


-0.00 


-0.00 -0.00 


-0.00 


0.00 


1 


.01 


.01 


.01 


.00 


.00 


.00 


.00 


15 


.01 


.01 


.01 


.00 .00 


.00 


.00 


3 


.01 


.01 


.01 


.01 


.01 


.00 


.00 


16 


.0 


.01 


.01 


.01 .01 


.00 


.00 • 


3 


.02 


.02 


.01 


.01 


.01 


.00 


.00 


17 


.0-4 


.051 


.02 


.01 .01 


.00 


.00 


4 


.02 


.02 


.02 


.01 


.01 


.00 


.00 


18 


.0* 


.02 


.02 


.02 .01 


.01 


.00 


5 


.02 


.02 


.02 


.02 


.01 


.01 


.00 


i 19 


.0; 


:02 


. .02 


.02 .01 


.01 


.00 


6 


.03 


.03 


.02 


.02 


.01 


.01 


.00 


20 


,0£ 


.0'i 


.02 


.02 .01 


.01 


.00 


7 


.03 


.031 .02 


.02 


.01 


.01 


.00 


21 


.01 


> .()? 


.02 


.02 .01 


.01 


.00 


8 


.03 


.02 .02 


.02 


.01 


.01 


.00 


! 22 


.0:. 


.02 


.02 


.02 .01 


.01 


.00 


9 


.02 


.02 .02 


.02 


.01 


.01 


.00 


23 


,02 


.02 


.02 


.02 .01 


.01 


.00 


10 


.02 


.02 .02 


.01 


.01 


.00 


.00 


24 


.05 


.02 


.02 


.01 .01 


.00 


.00 


11 


.02 


.02 .01 


.01 


.0! 


.00 


.00 


25 


.01 


.01 


.01 


.01 .01 


.00 


.00 


12 


.01 


.01 .01 


.01 


.01 


.00 


.00, 


26 


.01 


.01 


.01 


.01 .00 


.00 


.00 


13 


.01 


.001 .00 


.00 .00 


.00 


.00 


27 


.01 


.0( 


.00 


.00 .00 


.00 


.00 


14 


+0.00 


+0.00 +0.00 


+0 ooj+o.oo 


0.00 


+0.00; 


28 


-o.oc 


-0.00 


-0.00 


-0.00 -0.00 


-0.00 


0.00 




S 12" 
H 12" 


ll h 10" 


9 h | 8 h 


7b 


6" 


L$ ,21 


11" 


10" 


9" 8" 


7" 


6" 




13 11 i 14 h 


15" | 16 h 


17 h 


18 h 


p) 12* 13" 14" 


15" 16" 


17" 


18" 



Change the signs in these two tables when a is taken at the bottom. 



260 



SUPPLEMENTARY TABLES. 





TABLE XXXV.— Arguments of small terms in A and B. 








Arg. VI for terms in 2 — 


Q. 


Arg. IX for terms in 2 I" — &. 






Arg. VII for terms in 2 - 


-2&. 


Arg. X for terms in V 










Arg. VIII for terms in 2 © 


— 2V. 














F 


or Washington Mean Noon of Jan. in common years, Jan 


. 1 in bissextile years. 




Years. 


VI. 


VII. 


VIII. 


IX. 


X. 


Years. 


VI. 


VII. 


VIII. 


IX. 


X. 




d 


d 


d 


d 


d 




d 


d 


d 


d 


d 


1750 


138.4 





125 


223 


3150 


1800 


82.5 


64 


63 


209 


2023 


1751 


147.7 


18 


78 


588 


2S4 


1801 


91.8 


83 


16 


574 


2388 


1752 B 


158.0 


38 


32 


954 


650 


1802 


101.1 


101 


175 


939 


2753 


1753 


167.3 


56 


192 


14 


1015 


1803 


110.4 


119 


128 


1304 


3118 


1754 


176.6 


74 


145 


379 


1380 


1804 B 


120.7 


139 


82 


364 


253 


1755 


8.1 


93 


98 


744 


1745 


1805 


130.1 


157 


36 


729 


618 # 


1756 B 


18.4 


112 


52 


1110 


2111 


1806 


139.4 


2 


195 


1094 


983 


1757 


27.7 


131 


5 


169 


2476 


1807 


148.7 


21 


148 


154 


1348 


1758 


37.1 


149 


165 


534 


2841 


1808 B 


159.0 


40 


102 


520 


1714 


1759 


46.4 


167 


118 


899 


3206 


1809 


168.3 


58 


55 


885 


2079 


1760 B 


56.7 


13 


72 


1265 


340 


1810 


177.6 


77 


8 


1250 


2444 


1761 


66.0 


32 


25 


3'25 


705 


1811 


9.1 


95 


168 


309 


2809 


1762 


75.3 


50 


184 


690 


1070 


1812 B 


19.4 


115 


122 


675 


3175 


1763 


84.6 


69 


137 


1055 


1435 


1813 


28.7 


133 


75 


1040 


309 


iVo-i B 


94.9 


88 


92 


115 


1801 


1814 


38.0 


151 


28 


100 


674 


1765 


104.2 


106 


45 


480 


2166 


1815 


47.3 


170 


187 


465 


1039 


t 1766 


113.6 


125 


204 


845 


2531 


1816 B 


57.6 


16 


142 


831 


1405 


1767 


122.9 


143 


157 


1210 


2896 


1817 


67.0 


34 


95 


1196 


1770 


1768 B 


133.2 


162 


111 


271 


31 


1818 


76.3 


53 


48 


255 


2135 


1769 


142.5 


8 


65 


636 


396 


1819 


85.6 


71 


1 


620 


2500 


1770 


151.8 


26 


18 


1001 


761 


1820 B 


95.9 


90 


161 


986 


2866 


1771 


161.1 


44 


177 


61 


1126 


1821 


105.2 


109 


115 


46 


3231 


1772 B 


171.4 


64 


131 


427 


1492 


1822 


114.5 


127 


68 


411 


364 


1773 


2.9 


82 


84 


792 


1857 


1823 


123.8 


145 


21 


776 


729 


1774 


12.2 


100 


38 


1157 


2222 


1824 B 


134.1 


165 


181 


1142 


1095 


1775 


21.5 


119 


197 


216 


2587 


1825 


143.5 


10 


134 


202 


1460 


1776 B 


31.8 


138 


151 


582 


2953 


1826 


152.8 


28 


88 


567 


1825 


1777 


41.1 


157 


104 


947 


86 


1827 


162.1 


47 


41 


932 


2190 


1778 


50.5 


2 


57 


7 


451 


1828 B 


172.4 


66 


201 


1298 


2556 


1779 


59.8 


20 


11 


372 


816 


1829 


3.9 


84 


154 


357 


2921 


1780 B 


70 1 


39 


171 


738 


1182 


1830 


13.2 


103 


107 


722 


55 


1781 


79.4 


58 


124 


1103 


1547 


1831 


22.5 


121 


60 


1087 


420 


1782 


88.7 


76 


77 


162 


1912 


1832 B 


32.8 


141 


15 


148 


786 


1783 


98.0 


95 


30 


527 


2277 


1833 


42.1 


159 


174 


513 


1151 


1784 B 


• 108.3 


114 


190 


893 


2643 


1834 


51.4 


4 


127 


878 


1516 


1785 


117.6 


132 


144 


1258 


3008 


1835 


60.7 


22 


80 


1243 


1881 


1786 


127.0 


151 


97 


318 


142 


1836 B 


71.0 


42 


34 


303 


2247 


i 1787 


136.3 


169 


50 


683 


507 


1837 


80.4 


60 


194 


668 


2612 


1788 B 


146.6 


15 


4 


1049 


873 


1838 


89.7 


79 


147 


1033 


2977 


1789 


155.9 


33 


163 


108 


1238 


1839 


99.0 


97 


100 


93 


110 


1790 


165.2 


52 


"]]7 


473 


1603 


1840 B 


109.3 


116 


54 


459 


476 


1791 


174.5 


70 


70 


838 


1968 


1841 


118.6 


135 


7 


824 


841 


1792 B 


7.0 


90 


24 


1204 


2334 


1842 


127.9 


153 


167 


1189 


1206 


i 1793 


16.3 


108 


183 


264 


2699 


1843 


137.2 


171 


120 


248 


1571 


1794 


25.6 


126 


136 


629 


3064 


1844 B 


147.5 


18 


74 


614 


1937 


1795 


34.9 


145 


90 


994 


197 


1845 


156.9 


36 


27 


979 


2302 


1796 B 


45.2 


164 


44 


54 


563 


1846 


166.2 


54 


186 


39 


2667 


1797 


54.6 


9 


203 


419 


928 


1847 


175.5 


73 


139 


404 


3032 


1798 


63.9 


28 


156 


784 


1293 


1848 B 


8.0 


92 


94 


770 


167 


1799 


73.2 


46 


109 


1149 


1658 


1849 


17.3 


110 


47 


1135 


532 


1800 


82.5 


64 


63 


209 


2023 


18f.O 


266 


129 





104 


897 



SUPPLEMENTARY TABLES. 



261 







TABLE XXXV.— Arguments of small terms in A and B 


• 




For Washington Mean Noon of Jan. 


in common years, Jan. 1 in bissextile y 


Bars. 




Arg. for the Inequalities = Arg. I + Ineq's + d' + day of year. 




Years. 


VI. 


VII. 


vra. 


IX. 


X. 




Inequalities of Arguments. 
















Arg. I 
+ d' 






Periods 
and Multiples. 






















d 


d 


d 


d 


d 


-f day. 


VI. 


VII. 


VIII. 




1850 
1851 


26.6 
35.9 


129 
147 



159 


194 
559 


897 
1262 






















1852 B 


46.2 


167 


113 


925 


1628 


d 


d 


d 


d 


Of Arg. VI. 


1853 


55.5 


12 


67 


1290 


1993 





0.0 








h 


1854 


64.8 


30 


20 


350 


2358 


10 


+0.3 








1 


177.8 














20 


0.6 


+1 


+1 


2 


355.7 


1855 


74.1 


48 


179 


715 


2723 


30 


0.9 


1 


1 


3 


533.5 


1856 B 


84.5 
93.8 


68 
86 


133 


1081 
140 


3089 
222 


40 


1.2 


1 


1 






1857 












1858 


103.1 


105 


40 


505 


587 


50 


1.4 


1 


2 


Of Arg. VII. 


1859 


112.4 


123 


199 


870 


952 


60 


1.6 


2 


2 
















70 


1.8 


2 


2 


] 


u 

173 


1860 B 


122.7 


142 


153 


1236 


1318 


80 


1.9 


2 


2 


2 


347 

520 


1861 


132.0 


161 


106 


296 


1683 


90 


1.9 


2 


2 


3 


1862 


141.3 


6 


59 


661 


2048 












1863 
1864 B 


150.6 
161.0 


24 
43 


13 
173 


1026 

86 


2413 
2779 


100 
110 
120 


1.9 

1.8 
1.7 


2 
2 
2 


2 
2 

2 






Of Arg. VIII. 


1865 


170.3 


62 


126 


451 


3144 


130 


1.5 


2 


2 




d 


1866 


1.7 


80 


79 


816 


278 


140 


1.3 


1 


2 


1 

2 


206 


1867 


11.0 


99 


32 


1181 


643 










412 


1868 B 
1869 


21.4 
30.7 


118 
136 


192 
146 


242 

607 


1009 
1374 


150 
160 


1.1 

0.8 


1 
+1 


1 

1 




















170 


0.5 





+1 


Of Arg. IX. 


1870 


40.0 


155 


99 


972 


1739 


180 


+0.2 










d 


1871 


49.3 





52 


31 


2104 


190 


—0.1 








1 


1305 


1872 B 

1873 


59.6 

68.9 


19 

38 


6 
165 


397 
762 


2470 
2835 


200 


0.5 





—1 








1874 


78.2 


56 


119 


1127 


3200 


210 


0.8 


—1 


1 


Of Arg. X. 














220 


1.0 


1 


1 




d ! 


1875 


87.5 


74 


72 


187 


333 


230 


1.3 


1 


1 


1 


3231 


1876 B 

1877 


97.9 
107.2 


94 
112 


26 
185 


553 
918 


699 
1064 


240 


1.5 


1 


2 




i 




1878 


116.5 


131 


138 


1283 


1429 


250 


1.7 


2 


2 




1879 


125.8 


149 


92 


343 


1794 


260 
270 


1.8 
1.9 


2 
2 


2 
2 




1880 B 


136.1 


168 


46 


709 


2160 


230 


1.9 


2 


2 




1881 


145.4 


13 


205 


1074 


2525 


290 


1.8 


2 


2 




1882 


154.7 


32 


158 


133 


2890 












1883 


164.0 


50 


HI 


498 


24 


300 


1.7 


2 


2 




1884 B 


174.4 


69 


66 


864 


390 


310 
3^>0 


1.6 
1.4 


2 
1 


2 
2 




1885 


5.8 


88 


19 


1229 


755 


330 


1.1 


1 


1 




1886 


15.1 


106 


178 


289 


1120 


340 


0.8 


1 


1 




1887 


24.4 


125 


131 


654 


1485 












1888 B 


34.8 


144 


85 


1020 


1S51 


350 


0.5 


—1 


—1 




1889 


44.1 


162 


39 


79 


2216 


360 
370 


—0.2 
+0.1. 












1890 
1891 


53.4 
62.7 


7 
26 


198 
151 


444 

809 


2581 
2946 
















1892 B 


73.0 


45 


105 


1175 


80 








1893 


82.3 


64 


58 


235 


445 








1894 


91.6 


82 


11 


600 


810 








1895 


100.9 


100 


171 


965 


1175 








1896 B 


111.3 


120 


125 


25 


1541 








1897 


120.6 


138 


78 


390 


1906 








1898 


129.9 


156 


31 


755 


227 1 








1899 


139.2 


2 


190 


1120 


2636 








1900 


148.5 


20 


144 


180 


3001 















262 



SUPPLEMENTARY TABLES. 



TABLE XXXVI.-Sinall terms in A and B. 






In units of the fifth decimal place for A, an*d of the fourth for B 




Arguments = Arg's of Tables VI and XXXV -j- inequalities + d' 


+ day of year. 




I. 


VI. 


VII. 


VIII. 


Arg. 


I. 




IX. 


l 

X. 

a™ 


Arg. 


















Arg. 






Arg. 








A 


B 


A 


B 


A 


A 




A 


B 




A 


B 




A 


B 


d 














d 






d 






d 









+ 3 


+26 





+67 








215 


—10 


+ 8 








+24 





4-5 


+ 8 


5 


6 


23 


+ 4 


66 


— 1 


+ 2 


220 


9 


15 


50 


+ 2 


23 


100 


6 


+ 3 


10 


8 


19 


9 


63 


2 


3 


225 


7 


20 


100 


4 


21 


200 


7 


— 3 


15 


10 


13 


13 


58 


3 


4 


230 


5 


24 


150 


6 


18 


300 


8 


10 


20 


11 


+ 6 


16 


51 


3 


6 


235 


— 3 


26 


200 


7 


14 


400 


8 


16 


25 


11 





19 


43 


4 


7 


240 





27 


250 


8 


9 


500 


7 


22 


30 


11 


— 8 


22 


33 


4 


8 


245 


+ 3 


26 


300 


9 


+ 3 


600 


5 


27 


35 


9 


14 


24 


22 


5 


9 


250 


5 


24 


350 


9 


— 3 


700 


+ 2 


30 


40 


7 


20 


25 


+10 


5 


9 


255 


8 


19 


400 


8 


8 


800 





31 


45 


5 


24 


25 


— 1 


5 


10 


260 


9 


14 


450 


7 


13 


900 


— 2 


30 


50 


+ 2 


26 


25 


13 


5 


10 


265 


10 


8 


500 


6 


18 


1000 


4 


28 


55 





27 


23 


24 


5 


10 


270 


11 


-f- 1 


550 


4 


21 


1100 


— 6 


23 


60 


- 3 


26 


21 


35 


4 


10 


275 


11 


— 6 


600 


+ 2 


23 


1200 


7 


17 


65 


6 


23 


19 


44 


4 


9 


280 


10 


12 


650 





24 


1300 


8 


11 


70 


8 


18 


16 


53 


3 


8 


285 


8 


18 


700 


— 2 


23 


1400 


7 


— 4 


75 


10 


12 


12 


59 


2 


8 


290 


6 


23 


750 


4 


21 


1500 


6 


+ 2 


80 


11 


— 6 


8 


64 


— 1 


6 


295 


3 


26 


800 


6 


18 


1600 


5 


7 


85 


11 


+ 1 


+ 3 


66 





5 


300 


+ 1 


27 


850 


7 


13 


1700 


4 


12 


90 


10 


8 


— 1 


67 


+ 1 


4 


305 


— 2 


26 


900 


8 


8 


1800 


2 


14 


95 


9 


14 


5 


65 


1 


2 


310 


5 


24 


950 


9 


— 3 


1900 


— 1 


16 


100 


7 


20 


10 


62 


2 


+ 1 


315 


7 


20 


1000 


9 


+ 3 


2000 


16 


105 


5 


24 


13 


56 


3 




320 


9 


15 


1050 


8 


9 


2100 + 1 


16 


110 


— 3 


26 


17 


49 


4 


2 


325 


10 


8 


1100 


7 


14 


2200 + 1 


16 


115 





27 


20 


40 


4 


4 


330 


11 


— 1 


1150 


6 


18 


2300 


15 


120 


+ 3 


26 


22 


30 


5 


5 


335 


11 


+ 6 


1200 


4 


21 


2400 





15 


125 


5 


23 


24 


20 


5 


6 


340 


10 


13 


1250 


— 2 


23 


2500 





15 


130 


8 


19 


25 


— 8 


5 


7 


345 


8 


18 


1300 





24 


2600 


— 1 


16 


135 


9 


14 


25 


+ 4 


5 


8 


350 


6 


23 


1350 


+ 2 


+23 


2700 


1 


16 


140 
145 


10 
11 


8 
+ 1 


24 

23 


15 

27 


5 
4 


9 
10 


355 

360 


— 3 




26 

27 








2800 
2900 


— 1 




16 
16 






150 


11 


— 6 


21 


37 


4 


10 


365 


+ 3 


26 






3000 


+ 1 


15 


155 


10 


12 


18 


46 


3 


10 


370 


5 


23 






3100 


3 


13 


160 


8 


18 


15 


54 


2 


10 


375 


8 


19 






3200 


5 


10 


165 


6 


22 


11 


60 


1 


9 


380 


+10 


+13 






3300 


+ G 


+ 5 


170 
175 


4 

+ 1 


25 
27 


7 
— 3 


64 
67 


+ 1 



9 

8 


















If* 






180 


— 1 


27 


+ 2 


67 


— 1 


7 


/?) 






185 


4 


25 


6 


65 


2 


6 


Cty 






190 


6 


22 


11 


61 


3 


5 


v_ -*^ 






195 


8 


17 


14 


55 


4 


3 


*** 4i 






200 
205 


10 
11 


11 
— 5 


17 

20 


47 
39 


4 
5 


— 2 








210 


-11 + 2 +23 

• 


+28 


— 5 


+ 1 









* * * 



•O v 






v > A o 



x 



■/%-- ;/v ?.y.\ ->> 













- W V jr- *'- 



A : 



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*b o N 



V 

/ % ST.", 






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'■J' 



V ^ 



/• 



x* o>' r >r /-^^ v X ,-xO C^ Q^ 

J 



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\ ^ 



*o o x 













°03 564 848 3 # 




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